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Effect of the Flow Rate on Plant Growth and Flow Visualization of Nutrient Solution in Hydroponics

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In hydroponics, the flow pattern of nutrient solution in a cultivation container affects the growth of plants. Even if the flow rate of nutrient solution is the same between containers, the flow pattern may differ based on the size and shape of the containers. Therefore, the flow pattern cannot be comprehensively described by flow rate alone. In order to identify the relationship between plant growth, root morphology, nutrient uptake, and flow pattern, a hydroponic cultivation of Swiss chard was carried out. In addition, in order to describe the flow pattern in a specific cultivation container, hydroponic flow patterns were observed via flow field visualization using particle image velocimetry. As a result, with the increase in flow rate, it was found that a specific flow rate can form an ideal flow pattern for plant growth. Under this flow pattern, nutrient absorption is promoted and roots are elongated, thereby absorbing more nutrients and further promoting plant growth. However, when the flow rate exceeds the ideal value, plant growth is hindered. In summary, identifying the ideal nutrient solution flow pattern in hydroponics can facilitate better crop production.
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horticulturae
Article
Effect of the Flow Rate on Plant Growth and Flow Visualization
of Nutrient Solution in Hydroponics
Bateer Baiyin 1, Kotaro Tagawa 2, * , Mina Yamada 2, Xinyan Wang 3, Satoshi Yamada 2, Sadahiro Yamamoto 2
and Yasuomi Ibaraki 4


Citation: Baiyin, B.; Tagawa, K.;
Yamada, M.; Wang, X.; Yamada, S.;
Yamamoto, S.; Ibaraki, Y. Effect of the
Flow Rate on Plant Growth and Flow
Visualization of Nutrient Solution in
Hydroponics. Horticulturae 2021,7,
225. https://doi.org/10.3390/
horticulturae7080225
Academic Editors: Anastasios Siomos
and Pavlos Tsouvaltzis
Received: 7 July 2021
Accepted: 2 August 2021
Published: 5 August 2021
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Copyright: © 2021 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under the terms and
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Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
1United Graduate School of Agricultural Sciences, Tottori University, Tottori 680-8550, Japan;
d19a3004z@edu.tottori-u.ac.jp
2Faculty of Agriculture, Tottori University, Tottori 680-8553, Japan; myamada.mimosa@gmail.com (M.Y.);
syamada@tottori-u.ac.jp (S.Y.); yamasada@tottori-u.ac.jp (S.Y.)
3Graduate School of Sustainability Science, Tottori University, Tottori 680-8550, Japan;
wangxinyan.tottori@gmail.com
4Faculty of Agriculture, Yamaguchi University, Yamaguchi 753-8515, Japan; ibaraki@yamaguchi-u.ac.jp
*Correspondence: tagawa@tottori-u.ac.jp; Tel.: +81-857–31–5138
Abstract:
In hydroponics, the flow pattern of nutrient solution in a cultivation container affects the
growth of plants. Even if the flow rate of nutrient solution is the same between containers, the flow
pattern may differ based on the size and shape of the containers. Therefore, the flow pattern cannot
be comprehensively described by flow rate alone. In order to identify the relationship between plant
growth, root morphology, nutrient uptake, and flow pattern, a hydroponic cultivation of Swiss chard
was carried out. In addition, in order to describe the flow pattern in a specific cultivation container,
hydroponic flow patterns were observed via flow field visualization using particle image velocimetry.
As a result, with the increase in flow rate, it was found that a specific flow rate can form an ideal flow
pattern for plant growth. Under this flow pattern, nutrient absorption is promoted and roots are
elongated, thereby absorbing more nutrients and further promoting plant growth. However, when
the flow rate exceeds the ideal value, plant growth is hindered. In summary, identifying the ideal
nutrient solution flow pattern in hydroponics can facilitate better crop production.
Keywords:
hydroponics; flow visualization; particle image velocimetry; nutrient uptake; drylands
agriculture
1. Introduction
Currently, hydroponics is popular globally because of its efficient resource utilization
and high-quality food production [
1
]. Hydroponics is a type of controlled environment
agriculture where adjustments can be made to create a suitable environment for plant
growth to increase crop yield and improve crop quality. One of the main advantages of
hydroponics is that it reduces the amount of water and nutrients necessary for crop cultiva-
tion. Because of its water-saving qualities and ability to produce high yields, hydroponics
is widely used in the drylands where water resources are scarce [
2
]. However, hydroponics
is an artificial environment for cultivation, which requires strict environmental regula-
tion to ensure the normal growth of crops [
3
]. Compared with conventional soil culture,
hydroponics requires greater environmental control, especially for the nutrient solution.
The effects of physical and chemical properties of hydroponic nutrient solutions,
such as pH, temperature, dissolved oxygen concentration, composition, and nutrient
concentrations, on crop growth have been well-studied [
4
7
]. Among such properties, the
effect of the flow rate of nutrient solution on crop growth has gained increasing attention in
recent years. Genuncio et al. [
8
] compared the fresh weights of three lettuce cultivars (“Lucy
Brown”, “Izabela”, and “Veneza Roxa”) under different ionic concentrations and flow rates.
Their experimental results revealed that the application of nutrient solution with a flow
Horticulturae 2021,7, 225. https://doi.org/10.3390/horticulturae7080225 https://www.mdpi.com/journal/horticulturae
Horticulturae 2021,7, 225 2 of 14
rate of 1.5 L/min and a 100% ionic concentration increased the fresh weight of “Izabela”
and “Veneza Roxa”. Al-Tawaha et al. [
9
] investigated the effect of three different nutrient
solution flow rates on lettuce growth and found that a 20 L/min flow rate increased the
lettuce weight. Dalastra et al. [
10
] evaluated the nutrition and production of lettuce in
relation to the nutrient solution flow in hydroponics. The treatments consisted of nutrient
solution application at 0.5, 1, 2, and 4 L/min flow rates in each cultivation channel. Due to
the greater nutrient accumulation in the shoots and use efficiency of these elements, the
highest production (g/plant) of lettuce was obtained with a flow rate of 1 L/min of nutrient
solution. Soares et al. [
11
] used brackish water for hydroponic vegetable production and
tested the flow rates of two nutrient solutions in the hydroponic channels. The best shoot
fresh weight and dry weight, leaf area, number of leaves, plant height, and shoot diameter
values were obtained at a flow rate of 1.5 L/min.
Many studies have investigated the optimal flow rates for hydroponics as well as
aquaponics, a food system derived from hydroponics that incorporates aquatic animal
production. Nuwansi et al. [
12
] conducted a study to optimize the water flow rate in a
recirculating aquaponic system to produce fish and spinach. Flow rates of 0.8, 2.4, and
4 L/min were maintained. Values for plant height, percentage height gain, and yield of
spinach were greatest for the 0.8 L/min treatment. The plant growth and nutrient uptake
(nitrogen (N), phosphorus (P), and potassium (K)) increased with a decrease in flow rate.
The effects of five water flow rates were investigated by Endut et al. [13] to determine the
association between nutrient removal and water quality for plant growth. The authors
found that all flow rates were efficient for nutrient removal and for maintaining the water
quality parameters within the acceptable and safe limits for plant growth and the survival
of fish. Khater et al. [
14
] investigated the effects of the source of nutrients, flow rate, and
length of the gully on nutrient uptake, dry weight, and N content in plants. They found
that the fresh and dry weights of shoots decreased with an increase in the flow rate and the
length of the gully, and the dry weight of roots and N content decreased with an increase
in the flow rate and the length of the gully.
The findings of these studies demonstrate that the flow rate in hydroponic systems
influences the growth of plants, and the flow rate can be regulated to improve crop yield.
Ideal flow rates to promote the growth of hydroponic crops provide adequate contact
time [
9
] and collision frequency between roots and nutrient ions to promote nutrient
absorption, which subsequently enhances plant growth.
Although previous studies have provided conclusive evidence of ideal flow rates, they
have some limitations. Many previously published articles lack information on the size
and shape of the cultivation containers used in experiments. From a hydrodynamic point
of view, the flow pattern may change depending on the size and shape of the container [
15
],
even if the flow rate is the same between containers. The flow pattern around the root, not
just the flow rate, affects the growth of plants. Therefore, evaluating the flow rate alone
does provide a noncomprehensive picture of the flow pattern in hydroponic systems. Flow
pattern should be described using a method concerning both the specific container size
and the specific flow rate (for example, fluid visualization method).
Until now, to our knowledge, no studies have investigated the effects of the flow
pattern around the roots on nutrient uptake and crop growth in hydroponics. These studies
are necessary to provide information on how to obtain the greatest yield and lowest energy
consumption, optimally design the cultivation containers, identify the ideal flow rate,
and provide effective nutrition management for hydroponic plants. In this study, we
investigated the relationship between plant growth, root morphology, nutrient uptake, and
flow pattern using cultivation experiments. Moreover, we visualized the nutrient solution
flow field in our hydroponic system using particle image velocimetry (PIV) to explain the
effects of flow pattern on plant growth.
Horticulturae 2021,7, 225 3 of 14
2. Materials and Methods
2.1. Cultivation and Measurement
The hydroponic cultivation experiment was carried out in the greenhouse of the Arid
Land Research Center of Tottori University (35
32
0
09.0” N 134
12
0
42.7” E). During the cul-
tivation period (04 November 2020 to 23 November 2020), we used a solar irradiance meter
(PYR, METER Group, Inc. Pullman, WA, USA) and temperature sensor (VP-4, METER
Group, Inc. Pullman, WA, USA) to record solar irradiance and ambient temperature, re-
spectively, in the greenhouse. To describe the meteorological conditions during cultivation,
the greenhouse environmental data are provided in Figure 1. In this study, a hydroponics
system was established for cultivation, as shown in Figure 2. The nutrient solution was
circulated by a pump (DC40A, ZKSJ, Shenzhen, China), and flow rates of 0, 2, 4, 6, and
8 L/min were obtained using valves. Each cultivation container was equipped with a
flowmeter (digital flow sensor, Sea Zhongjiang Guangdong, China) to monitor the flow
rate of nutrient solution. OTA No.1 fertilizer, OTA No.2 fertilizer, and tap water (pH 6.9,
EC 0.09 mS/cm) were used to prepare standard nutrient solution OTA fertilizer A [
16
]. The
composition and concentration of OTA fertilizer A are shown in Table 1.
Horticulturae 2021, 7, x FOR PEER REVIEW 3 of 15
2. Materials and Methods
2.1. Cultivation and Measurement
The hydroponic cultivation experiment was carried out in the greenhouse of the Arid
Land Research Center of Tottori University (35°3209.0 N 134°1242.7 E). During the cul-
tivation period (04 November 2020 to 23 November 2020), we used a solar irradiance me-
ter (PYR, METER Group, Inc. Pullman, WA, USA) and temperature sensor (VP-4, METER
Group, Inc. Pullman, WA, USA) to record solar irradiance and ambient temperature, re-
spectively, in the greenhouse. To describe the meteorological conditions during cultiva-
tion, the greenhouse environmental data are provided in Figure 1. In this study, a hydro-
ponics system was established for cultivation, as shown in Figure 2. The nutrient solution
was circulated by a pump (DC40A, ZKSJ, Shenzhen, China), and flow rates of 0, 2, 4, 6,
and 8 L/min were obtained using valves. Each cultivation container was equipped with a
flowmeter (digital flow sensor, Sea Zhongjiang Guangdong, China) to monitor the flow
rate of nutrient solution. OTA No.1 fertilizer, OTA No.2 fertilizer, and tap water (pH 6.9,
EC 0.09 mS/cm) were used to prepare standard nutrient solution OTA fertilizer A [16].
The composition and concentration of OTA fertilizer A are shown in Table 1.
Figure 1. Solar irradiance and ambient temperature of the greenhouse during hydroponic cultivation.
Table 1. Composition and concentration of the standard nutrient solution OTA fertilizer A.
Composition T-N P
2
O
5
K
2
O CaO MgO MnO B
2
O
3
Fe Cu Zn Mo
Concentration (ppm) 260 120 405 230 60 1.5 1.5 2.7 0.03 0.09 0.03
(a) (b)
Figure 2. The hydroponic system used in this study. (a) Diagram of up view; (b) photograph; the cultivation container
dimensions were 620 mm length (L) × 375 mm width (W) × 195 mm height (H). The flow inlet and flow outlet were located
at the center of the sidewall, and the flow inlet and outlet diameters were both 18 mm.
Figure 1. Solar irradiance and ambient temperature of the greenhouse during hydroponic cultivation.
Horticulturae 2021, 7, x FOR PEER REVIEW 3 of 15
2. Materials and Methods
2.1. Cultivation and Measurement
The hydroponic cultivation experiment was carried out in the greenhouse of the Arid
Land Research Center of Tottori University (35°3209.0 N 134°1242.7 E). During the cul-
tivation period (04 November 2020 to 23 November 2020), we used a solar irradiance me-
ter (PYR, METER Group, Inc. Pullman, WA, USA) and temperature sensor (VP-4, METER
Group, Inc. Pullman, WA, USA) to record solar irradiance and ambient temperature, re-
spectively, in the greenhouse. To describe the meteorological conditions during cultiva-
tion, the greenhouse environmental data are provided in Figure 1. In this study, a hydro-
ponics system was established for cultivation, as shown in Figure 2. The nutrient solution
was circulated by a pump (DC40A, ZKSJ, Shenzhen, China), and flow rates of 0, 2, 4, 6,
and 8 L/min were obtained using valves. Each cultivation container was equipped with a
flowmeter (digital flow sensor, Sea Zhongjiang Guangdong, China) to monitor the flow
rate of nutrient solution. OTA No.1 fertilizer, OTA No.2 fertilizer, and tap water (pH 6.9,
EC 0.09 mS/cm) were used to prepare standard nutrient solution OTA fertilizer A [16].
The composition and concentration of OTA fertilizer A are shown in Table 1.
Figure 1. Solar irradiance and ambient temperature of the greenhouse during hydroponic cultivation.
Table 1. Composition and concentration of the standard nutrient solution OTA fertilizer A.
Composition T-N P
2
O
5
K
2
O CaO MgO MnO B
2
O
3
Fe Cu Zn Mo
Concentration (ppm) 260 120 405 230 60 1.5 1.5 2.7 0.03 0.09 0.03
(a) (b)
Figure 2. The hydroponic system used in this study. (a) Diagram of up view; (b) photograph; the cultivation container
dimensions were 620 mm length (L) × 375 mm width (W) × 195 mm height (H). The flow inlet and flow outlet were located
at the center of the sidewall, and the flow inlet and outlet diameters were both 18 mm.
Figure 2.
The hydroponic system used in this study. (
a
) Diagram of up view; (
b
) photograph; the cultivation container
dimensions were 620 mm length (L)
×
375 mm width (W)
×
195 mm height (H). The flow inlet and flow outlet were located
at the center of the sidewall, and the flow inlet and outlet diameters were both 18 mm.
Table 1. Composition and concentration of the standard nutrient solution OTA fertilizer A.
Composition T-N P2O5K2O CaO MgO MnO B2O3Fe Cu Zn Mo
Concentration (ppm) 260 120 405 230 60 1.5 1.5 2.7 0.03 0.09 0.03
Horticulturae 2021,7, 225 4 of 14
The plant used in this experiment was Swiss chard (Beta vulgaris L. spp. cicla cv.
Seiyou Shirokuki). Swiss chard is a leafy vegetable popular for its nutritional value. It
is an annual cool weather crop that is well-adapted to hot conditions and long days in
drylands [
17
]. In this study, on 22 October, seeds were sown and germinated in plastic
containers with a mesh base (470 mm L
×
330 mm W
×
80 mm H) filled with moist-
ened vermiculite. After one week, all seedlings were transplanted into plastic containers
(580 mm L ×370 mm W ×150 mm H)
, filled with 30 L of nutrient solution (0.25 times
concentration of OTA fertilizer A solution; pH 6.5; EC 0.62 mS/cm; no flowing condition),
and were grown for seven days. On 4 November, seedlings in plastic containers were
transplanted into hydroponic cultivation containers with different flow rates. Then, a
40 L 0.5 times concentration of standard OTA fertilizer A (pH 6.5; EC 1.32 mS/cm) was
poured into each cultivation container. Each treatment (flow rate) was conducted with
three replications (cultivation containers) and four plants were planted in each cultivation
container. To maintain the EC and pH, the nutrient solution was replaced every 10 days.
The plants in each cultivation container were harvested on 23 November, after 20 days
of cultivation under different flow rates, respectively. After harvest, plants were divided
into shoots and roots, and the fresh weight of the plants was measured. The leaf area, root
length, and root surface area were measured by leaf area meter (LI3000A, LI-COR, Lincoln,
Nebraska USA) and root scanner and software (WinRhizo 2008a, REGENT INS, Quebec,
Canada). The plants were then placed into a convection oven (DKM600, Yamato, Tokyo,
Japan) at 75
C and dried for 72 h before dry weights were measured. Next, for nitrogen
(N) content measurements, the dry samples were decomposed by sulfuric acid (10 vol.). N
content was determined by the Kjeldahl method [
18
], then the N uptake by a plant was
calculated from the dry weight and N content (measurement objectives and instruments
are shown in Table 2).
Table 2. Measurement objectives and instruments used.
Measurement Objective Measurement Instrument
Plant growth
Leaf area
Leaf area meter (LI3000A, LI-COR, Lincoln, Nebraska USA)
Fresh weight
Precision balance (UP623Y, SHIMAZU, Kyoto, Japan)
Dry weight
Root morphology Length
Root scanner and software (WinRhizo 2008a, REGENT INS,
Quebec, Canada)
Surface area
Nutrient content N Digest system (K-437, BUCHI, Wilmington, USA),
Distillation Unit (K-355, BUCHI, Wilmington, USA)
2.2. Visualisation of the Flow Field in Hydroponic Cultivation
A PIV system was used in this study to accurately observe the flow field around the
root system region. PIV [
19
] is a non-intrusive laser optical measurement technique for
flow visualization. The fluid was seeded with tracer particles which, as sufficiently small
particles, were assumed to follow the flow dynamics. The fluid with entrained particles
was illuminated so that the particles were visible. The motion of the seeding particles was
used to calculate the velocity field of the flow being studied. In this study, in order to
observe the flow pattern in the cultivation container, we used acrylic to make a colorless
and transparent water tank the same size as the hydroponic system described in Figure 2,
Section 2.1. The cultivation plate used was also the same as that described in Section 2.1.
The water flow in the water tank was driven by a circulating water pump, and the flow
rate (0, 2, 4, 6, and 8 L/min) in the tank was controlled by the accessory valve and digital
flowmeter. The plants harvested in this study were used to observe the flow field. The
plants growing under different flow rates were placed in the corresponding flow rate to
observe the flow field.
As shown in Figure 3, the laser (GPOL-5W, JAPAN LASER, Tokyo, Japan) was ar-
ranged on the left side of the acrylic water tank, aimed towards the longitudinal section
Horticulturae 2021,7, 225 5 of 14
of the cultivation part. The high-speed camera (FASTCAM-MAX 120KC, Photron, Tokyo,
Japan) with a lens (Micro-NIKKOR 55 mm f/2.8, Nikon, Tokyo, Japan) was placed outside
the acrylic water tank perpendicular to its middle section. Several tracer particles, for
which the average particle diameter is about 0.55 mm and density is 1.01 g/cm
3
(HP20,
DIAION, Tokyo, Japan), were added to the circulating water, which can be illuminated by
the laser light sheet, and the motion of the particles was recorded using the high-speed
camera with a resolution of 1024
×
1024 pixels at 60 frames per second. The observation
experiment was carried out in a dark room. The flow field without plants and with plants
under different flow rates was photographed for 10 s, respectively. The PIV flow field
calculation software (PIVlab 2.31 [
20
] built into MATLAB (MATLAB 2019a, MathWorks,
Massachusetts, USA)) was used to batch process the images continuously collected for each
condition. The image area shown in Figure 4 was selected as the region of interest in this
study. Based on the instantaneous picture of 600 continuous flow fields, the mean velocity
distribution and vorticity distribution of each flow field were obtained. The mean velocity
and vorticity distribution maps of different flow patterns show the velocity and vorticity
of flow around the root region, explaining the effect of flow pattern on plant growth and
nutrient uptake.
Horticulturae 2021, 7, x FOR PEER REVIEW 5 of 15
Japan) with a lens (Micro-NIKKOR 55 mm f/2.8, Nikon, Tokyo, Japan) was placed outside
the acrylic water tank perpendicular to its middle section. Several tracer particles, for
which the average particle diameter is about 0.55 mm and density is 1.01 g/cm
3
(HP20,
DIAION, Tokyo, Japan), were added to the circulating water, which can be illuminated
by the laser light sheet, and the motion of the particles was recorded using the high-speed
camera with a resolution of 1024 × 1024 pixels at 60 frames per second. The observation
experiment was carried out in a dark room. The flow field without plants and with plants
under different flow rates was photographed for 10 s, respectively. The PIV flow field
calculation software (PIVlab 2.31 [20] built into MATLAB (MATLAB 2019a, MathWorks,
Massachusetts, USA)) was used to batch process the images continuously collected for
each condition. The image area shown in Figure 4 was selected as the region of interest in
this study. Based on the instantaneous picture of 600 continuous flow fields, the mean
velocity distribution and vorticity distribution of each flow field were obtained. The mean
velocity and vorticity distribution maps of different flow patterns show the velocity and
vorticity of flow around the root region, explaining the effect of flow pattern on plant
growth and nutrient uptake.
(a) (b)
Figure 3. Observation method of the flow field and roots in hydroponics: (a) without plants; (b) with plants.
2.3. Data Analysis
Each treatment (flow rate) was conducted with three replications. The value of each
replicate was obtained by calculating the average value of all the plants in the same culti-
vation container. The Statistical Package for Social Sciences software version 25 (SPSS Inc,
Chicago, IL, USA) was used to statistically analyze the data. The statistical analysis meth-
ods used in this study were one-way analysis of variance followed by Duncan’s Multiple
Range Test at p < 0.05. The statistical results were expressed as means ± SE with n = 3.
3. Results
3.1. The Effect of Flow Rate on Plant Growth, Root Morphology and Nutrient Uptake
The plant growth and root morphology under different flow patterns are shown in
Figure 4 (the detail values are shown in Table S1). From Figure 4a,b, results showed that
the fresh and dry weights of the whole plant differed significantly (p < 0.05) among flow
rates. No significant differences in the dry and fresh weight of plants were observed be-
tween 0 L/min to 2 L/min. The dry and fresh weight of plants in 4 L/min and 6 L/min were
significantly higher than that in 0 L/min. Compared with 0 L/min, fresh weight under 4
L/min and 6 L/min increased by 6.4% and 11.8%, and dry weight increased by 8.2% and
15.2%, respectively. When the flow rate increased to 8 L/min, the dry and fresh weight of
plants were 7.4% and 15.3% lower than those under 6 L/min, respectively.
The leaf areas of plants grown under the tested flow patterns are shown in Figure 4c.
The leaf area increases with increasing flow rate from 0 L/min to 6 L/min. Compared with
0 L/min, the leaf area of plants in 2 L/min, 4 L/min, and 6 L/min increased by 8.2%, 10.3%,
Figure 3. Observation method of the flow field and roots in hydroponics: (a) without plants; (b) with plants.
2.3. Data Analysis
Each treatment (flow rate) was conducted with three replications. The value of each
replicate was obtained by calculating the average value of all the plants in the same
cultivation container. The Statistical Package for Social Sciences software version 25 (SPSS
Inc, Chicago, IL, USA) was used to statistically analyze the data. The statistical analysis
methods used in this study were one-way analysis of variance followed by Duncan’s
Multiple Range Test at p< 0.05. The statistical results were expressed as means
±
SE with
n= 3.
3. Results
3.1. The Effect of Flow Rate on Plant Growth, Root Morphology and Nutrient Uptake
The plant growth and root morphology under different flow patterns are shown in
Figure 4(the detail values are shown in Table S1). From Figure 4a,b, results showed that the
fresh and dry weights of the whole plant differed significantly (p< 0.05) among flow rates.
No significant differences in the dry and fresh weight of plants were observed between
0 L/min to 2 L/min. The dry and fresh weight of plants in 4 L/min and 6 L/min were
significantly higher than that in 0 L/min. Compared with 0 L/min, fresh weight under
4 L/min and 6 L/min increased by 6.4% and 11.8%, and dry weight increased by 8.2% and
15.2%, respectively. When the flow rate increased to 8 L/min, the dry and fresh weight of
plants were 7.4% and 15.3% lower than those under 6 L/min, respectively.
Horticulturae 2021,7, 225 6 of 14
Horticulturae 2021, 7, x FOR PEER REVIEW 6 of 15
and 15.2%, respectively. However, the leaf area in 8 L/min was lower than those of 2–6
L/min and not significantly different from that of 0 L/min.
From Figure 4d,e, results showed that root length and root surface area increased
gradually from 0 L/min to 6 L/min. In 2 L/min, 4 L/min, and 6 L/min, the root length in-
creased by 10.6%, 18.6%, and 29.5%, respectively, compared with 0 L/min. When the flow
rate increased to 8 L/min, the root length and root surface area were significantly lower
than those under all other flow rates. Compared with 0 L/min, the 8 L/min root length and
root surface area decreased by 13.4% and 23.5%, respectively.
Comparing Figure 4f with Figure 4b, it can be observed that the trends of N uptake
were similar to that of dry weight with an increased flow rate. Under different flow rates,
the uptake of N by a plant was also different. Under the five tested flow rates, the average
N uptake was 36.4, 44.0, 45.6, 49.5, and 41.1 mg/plant, respectively. The accumulation of
nutrients and plant dry weight were the greatest under the 6 L/min.
(a) (b)
(c) (d)
(e) (f)
Figure 4. Plant growth, root morphology, and nutrient uptake under different flow rates. (a) Fresh weight; (b) dry weight;
(
c
) leaf area; (
d
) root length; (
e
) root surface area; (
f
) N uptake by a plant. Bars labelled with different letters differ
significantly (p< 0.05), data are expressed as M.S.E (n= 3).
The leaf areas of plants grown under the tested flow patterns are shown in Figure 4c.
The leaf area increases with increasing flow rate from 0 L/min to 6 L/min. Compared
with 0 L/min, the leaf area of plants in 2 L/min, 4 L/min, and 6 L/min increased by 8.2%,
10.3%, and 15.2%, respectively. However, the leaf area in 8 L/min was lower than those of
2–6 L/min and not significantly different from that of 0 L/min.
From Figure 4d,e, results showed that root length and root surface area increased
gradually from 0 L/min to 6 L/min. In 2 L/min, 4 L/min, and 6 L/min, the root length
increased by 10.6%, 18.6%, and 29.5%, respectively, compared with 0 L/min. When the
Horticulturae 2021,7, 225 7 of 14
flow rate increased to 8 L/min, the root length and root surface area were significantly
lower than those under all other flow rates. Compared with 0 L/min, the 8 L/min root
length and root surface area decreased by 13.4% and 23.5%, respectively.
Comparing Figure 4f with Figure 4b, it can be observed that the trends of N uptake
were similar to that of dry weight with an increased flow rate. Under different flow rates,
the uptake of N by a plant was also different. Under the five tested flow rates, the average
N uptake was 36.4, 44.0, 45.6, 49.5, and 41.1 mg/plant, respectively. The accumulation of
nutrients and plant dry weight were the greatest under the 6 L/min.
3.2. Visualisation of the Flow Field in a Hydroponic Cultivation Container
As described in Section 2.2, the observation experiment was carried out in a dark
room. However, in order to better describe the movement of roots with water flow, we also
observed the shape of roots at a bright condition (light turn on) before the PIV experiment.
The shapes of roots under different flow rates are shown in Figure 5(the relevant videos are
in the Supplementary Videos). The velocity distribution of the flow field under different
flow patterns is shown in Figure 6. Collectively, these figures show that the swing shapes
of roots differ among flow patterns. From Figure 5, at 0 L/min, the root is not inclined in
the nutrient solution. With the increase in flow, the root is gradually inclined with the flow
direction of the nutrient solution. In 8 L/min, the root was rolled up and swung with the
direction of the water flow.
Horticulturae 2021, 7, x FOR PEER REVIEW 8 of 15
velocity vector. Vortex motion is measured by vorticity, which describes both strength
and direction.
The vorticity distribution of the flow field in hydroponic cultivation is shown in Fig-
ure 7. It can be seen that the distribution of vorticity was different between the flow fields
with plants and without plants. The vorticity distribution is different throughout the con-
tainer, particularly around the plant roots.
Similar to the change in velocity distribution, under 2 L/min and 4 L/min, when the
flow rate is low, backflow will form after colliding with the root. As shown in Figure 7b,
d, the area with higher vorticity is concentrated at the flow inlet of the container (X-axis:
400–620 mm) due to the backflow. When the flow rate increases, the flow force increases
gradually. As shown in Figure 7f, the nutrient solution flows under the root, resulting in
increased flow velocity around the root, especially underneath the root (X-axis: 200–400
mm). Six L/min allows the nutrient solution to circulate better, and the vorticity distribu-
tion in the whole flow field is more uniform than that under other flow patterns in this
study. As the flow rate continues to increase, the force of the flow also increases. As shown
in Figure 7h, a large number of vortices were generated in 8 L/min, especially in the flow
outlet area (X-axis: 0–200 mm) and part of the flow inlet area (X-axis: 400–500), due to the
backflow of water after hitting the sidewall.
Overall, there was almost no vortex around the root region in 2 L/min, and the vor-
ticity increased gradually from 4 L/min to 8 L/min. Figure 7 illustrates the high vorticity
of 8 L/min compared with the other flow patterns. However, as shown in Figure 4, the
plants in 8 L/min neither accumulated the heaviest dry weight nor absorbed the most nu-
trients. The high vorticity promotes the diffusion of nutrient solution; however, excessive
agitation may not provide sufficient contact time between the plant roots and nutrient
ions. It takes time for roots to absorb ions, and excessive velocity or excessive vorticity
will affect the absorption process.
(a)
(b)
(c)
Horticulturae 2021, 7, x FOR PEER REVIEW 9 of 15
(d)
(e)
Figure 5. Plant roots under different flow rates. (a) 0 L/min; (b) 2 L/min; (c) 4 L/min; (d) 6 L/min; (e) 8 L/min.
(a) (b)
(c) (d)
(e) (f)
(g) (h)
Figure 6. Flow velocity distribution of the flow field in hydroponics under different flow rates. (a) 2 L/min (without plants);
(b) 2 L/min (with plants); (c) 4 L/min (without plants); (d) 4 L/min (with plants); (e) 6 L/min (without plants); (f) 6 L/min
(with plants); (g) 8 L/min (without plants); (h) 8 L/min (with plants). The magnetic map of velocity is shown in the figure,
blue indicates a velocity of 0 m/s, and red indicates the highest velocity (0.05 m/s).
Figure 5. Cont.
Horticulturae 2021,7, 225 8 of 14
Figure 5.
Plant roots under different flow rates. (
a
) 0 L/min; (
b
) 2 L/min; (
c
) 4 L/min; (
d
) 6 L/min;
(e) 8 L/min.
Horticulturae 2021, 7, x FOR PEER REVIEW 9 of 15
(d)
(e)
Figure 5. Plant roots under different flow rates. (a) 0 L/min; (b) 2 L/min; (c) 4 L/min; (d) 6 L/min; (e) 8 L/min.
(a) (b)
(c) (d)
(e) (f)
(g) (h)
Figure 6. Flow velocity distribution of the flow field in hydroponics under different flow rates. (a) 2 L/min (without plants);
(b) 2 L/min (with plants); (c) 4 L/min (without plants); (d) 4 L/min (with plants); (e) 6 L/min (without plants); (f) 6 L/min
(with plants); (g) 8 L/min (without plants); (h) 8 L/min (with plants). The magnetic map of velocity is shown in the figure,
blue indicates a velocity of 0 m/s, and red indicates the highest velocity (0.05 m/s).
Figure 6.
Flow velocity distribution of the flow field in hydroponics under different flow rates. (
a
) 2 L/min (without plants);
(
b
) 2 L/min (with plants); (
c
) 4 L/min (without plants); (
d
) 4 L/min (with plants); (
e
) 6 L/min (without plants); (
f
) 6 L/min
(with plants); (
g
) 8 L/min (without plants); (
h
) 8 L/min (with plants). The magnetic map of velocity is shown in the figure,
blue indicates a velocity of 0 m/s, and red indicates the highest velocity (0.05 m/s).
As the flow rates increase, the average velocity in the flow field gradually increases
(Figure 6). When the nutrient solution flows through the root, the flow pattern of the
nutrient solution is also affected by the root. Under 2 L/min and 4 L/min, as the low flow
rates have little kinetic energy, the roots do not show a large swing due to the flow. In this
situation, the nutrient solution will form a backflow to the upstream side after it hits the
root. As shown in Figure 6b,d, the flow velocity near the flow inlet of the container (X-axis:
400–620 mm) is higher than that in other regions due to the backflow. As the flow rate
increases, the force from the water flow increases gradually. As shown in Figure 6f, the
Horticulturae 2021,7, 225 9 of 14
root swings due to the action of water flow, and the nutrient solution flows under the root.
The flow velocity around the root, especially underneath the root (X-axis:
200–400 mm
), is
accelerated. As the flow rate continues to increase, the force of the flow increases. As shown
in Figure 6h, because of the flow of nutrient solution, the roots float upward, the nutrient
solution flows under the root, and backflow occurs after hitting the sidewall, resulting in
an increased velocity in the flow outlet area (X-axis: 0–200 mm).
Moreover, comparing Figure 6a–h, the average velocity of flow without plants was
larger than that with plants; the average velocity decreases because of the implantation of
plant roots. The roots of plants hinder the nutrient solution flow, which may hinder the
circulation of nutrient solution around the root region.
Because there is no flow at 0 L/min, the velocity of water flow is 0 m/s around the root
region. As shown in Figure 6b, the flow velocity around the root region in 2 L/min was also
extremely close to 0, which explains why no significant changes in dry and fresh weights
were observed between 0 L/min and 2 L/min. However, as shown in
Figure 6d,f,h,
the
velocity of flow around the roots increased gradually from 4 L/min to 8 L/min, and the
nutrient circulation in the root region was promoted.
The style of nutrient transport to the root surface differs among cultivation substrates.
Plant nutrients in the soil reach the root surface by root extension, mass-flow, and diffu-
sion [
21
]. In hydroponic cultivation, nutrients are mainly transported to the root surface by
turbulent diffusion, which includes molecular diffusion and eddy diffusion. In turbulent
fluid, molecular diffusion and eddy diffusion contribute to the transfer simultaneously,
however, fluid particles are clusters of a large number of molecules, and the scale and speed
of fluid-particle transfer are much larger than those of a single molecule; therefore, the
effect of eddy diffusion plays a major role. Molecular diffusion also exists in turbulent fluid,
however, it can be ignored in most cases. Eddy diffusion refers to the transfer of nutrient
ions in turbulent fluid, which mainly depends on the irregular motion of fluid particles.
The vortices in turbulent flow cause violent mixing of the fluids. Under composition and
concentration differences, the nutrient ions will be transferred to the direction of the lower
composition and concentration. Eddy diffusion transfers nutrient ions by means of the
vortex motion of fluid particles. Vorticity is one of the most important physical quantities
to describe vortex motion, which is defined as the vorticity of the fluid velocity vector.
Vortex motion is measured by vorticity, which describes both strength and direction.
The vorticity distribution of the flow field in hydroponic cultivation is shown in
Figure 7. It can be seen that the distribution of vorticity was different between the flow
fields with plants and without plants. The vorticity distribution is different throughout the
container, particularly around the plant roots.
Similar to the change in velocity distribution, under 2 L/min and 4 L/min, when the
flow rate is low, backflow will form after colliding with the root. As shown in
Figure 7b,d
,
the area with higher vorticity is concentrated at the flow inlet of the container (X-axis:
400–620 mm) due to the backflow. When the flow rate increases, the flow force increases
gradually. As shown in Figure 7f, the nutrient solution flows under the root, resulting in in-
creased flow velocity around the root, especially underneath the root (X-axis:
200–400 mm
).
Six L/min allows the nutrient solution to circulate better, and the vorticity distribution
in the whole flow field is more uniform than that under other flow patterns in this study.
As the flow rate continues to increase, the force of the flow also increases. As shown in
Figure 7h,
a large number of vortices were generated in 8 L/min, especially in the flow
outlet area (X-axis: 0–200 mm) and part of the flow inlet area (X-axis: 400–500), due to the
backflow of water after hitting the sidewall.
Overall, there was almost no vortex around the root region in 2 L/min, and the
vorticity increased gradually from 4 L/min to 8 L/min. Figure 7illustrates the high
vorticity of 8 L/min compared with the other flow patterns. However, as shown in
Figure 4
, the plants in 8 L/min neither accumulated the heaviest dry weight nor absorbed
the most nutrients. The high vorticity promotes the diffusion of nutrient solution; however,
excessive agitation may not provide sufficient contact time between the plant roots and
Horticulturae 2021,7, 225 10 of 14
nutrient ions. It takes time for roots to absorb ions, and excessive velocity or excessive
vorticity will affect the absorption process.
Horticulturae 2021, 7, x FOR PEER REVIEW 10 of 15
(a) (b)
(c) (d)
(e) (f)
(g) (h)
Figure 7. Vorticity distribution of the flow field in hydroponics in different flow rates. (a) 2 L/min (without plants); (b) 2
L/min (with plants); (c) 4 L/min (without plants); (d) 4 L/min (with plants); (e) 6 L/min (without plants); (f) 6 L/min (with
plants); (g) 8 L/min (without plants); (h) 8 L/min (with plants). The magnetic map of vorticity is shown in the figure, green
means no vorticity, red means clockwise vorticity, and blue means counter-clockwise vorticity.
4. Discussion
When dry weight or fresh weight is used as an indicator to estimate yield, higher
weights are believed to be better [22]. The leaf is the most important organ for plants to
produce energy by means of photosynthesis. Leaf area and photosynthetic capacity are
closely related to plant growth [23]. As shown in Figure 4a–c, from the perspective of plant
growth, dry weight, fresh weight, and leaf area increased with increasing flow rate. How-
ever, after exceeding the ideal flow rate, the dry weight, fresh weight, and leaf area were
reduced. These findings show that, in a certain range, increased flow rate promotes the
growth of plants; however, excessive flow rates will inhibit the growth of plants. Further-
more, no significant difference in weight was observed between the low flow rate and no
flow rate, indicating that a small flow rate has no evident effect on plant growth. As shown
in Figure 4d,e, for root growth, under certain conditions, the root length gradually in-
creased with increasing flow rates. However, the root length and root surface area signif-
icantly decreased after exceeding the ideal flow rate, reaching values even lower than
those observed without flow. The regulation of flow rate will increase yield, however, if
the regulation is unreasonable, plant growth may be inhibited. If the flow rate is too slow,
the effect of flow rate on plant growth will not be obvious, and if the flow is too fast, the
effect of flow rate on plant growth will be negative.
Figure 7.
Vorticity distribution of the flow field in hydroponics in different flow rates. (
a
) 2 L/min (without plants);
(
b
) 2 L/min (with plants); (
c
) 4 L/min (without plants); (
d
) 4 L/min (with plants); (
e
) 6 L/min (without plants); (
f
) 6 L/min
(with plants); (
g
) 8 L/min (without plants); (
h
) 8 L/min (with plants). The magnetic map of vorticity is shown in the figure,
green means no vorticity, red means clockwise vorticity, and blue means counter-clockwise vorticity.
4. Discussion
When dry weight or fresh weight is used as an indicator to estimate yield, higher
weights are believed to be better [
22
]. The leaf is the most important organ for plants
to produce energy by means of photosynthesis. Leaf area and photosynthetic capacity
are closely related to plant growth [
23
]. As shown in Figure 4a–c, from the perspective
of plant growth, dry weight, fresh weight, and leaf area increased with increasing flow
rate. However, after exceeding the ideal flow rate, the dry weight, fresh weight, and
leaf area were reduced. These findings show that, in a certain range, increased flow rate
promotes the growth of plants; however, excessive flow rates will inhibit the growth of
plants. Furthermore, no significant difference in weight was observed between the low
flow rate and no flow rate, indicating that a small flow rate has no evident effect on plant
growth. As shown in Figure 4d,e, for root growth, under certain conditions, the root length
gradually increased with increasing flow rates. However, the root length and root surface
area significantly decreased after exceeding the ideal flow rate, reaching values even lower
than those observed without flow. The regulation of flow rate will increase yield, however,
if the regulation is unreasonable, plant growth may be inhibited. If the flow rate is too slow,
Horticulturae 2021,7, 225 11 of 14
the effect of flow rate on plant growth will not be obvious, and if the flow is too fast, the
effect of flow rate on plant growth will be negative.
Roots are the main organs of plants responsible for nutrient absorption. Total nutrient
uptake depends on root length and root surface area [
24
]. The root length influences
nutrient uptake [
25
]. The results in Section 3.1 indicate that the root length and surface
area were different under different flow rates. The differences in root morphology led to
differences in the total amounts of nutrient uptake [
24
]. With the increase in root length
and root surface area, the total nutrient absorption gradually increases, promoting plant
growth. As shown in Figure 4b,f, with the increase in flow rate, nutrient uptake and dry
weight of plants showed a similar trend. In terms of plant nutrient uptake, there were
differences in the nutrient contents under different flow patterns. Moreover, the amount
of nutrients absorbed by plants differed among flow patterns. These results indicate that
the absorption of ions is affected by the flow pattern, and the ideal flow pattern provides a
reasonable collision frequency and contact time [
9
] between nutrient ions and roots. Under
the ideal flow pattern, nutrient ion absorption is promoted, and the roots elongate due to
reasonable physical stimulation from water flow, so as to further absorb more nutrients
and promote plant growth.
From the visualization of the flow field in this study, it was found that the flow velocity
near the root region was almost static when the flow rate was low, and a promotion effect
of the low flow rate on nutrient solution circulation was not apparent. With the increase in
flow rate, the root swayed with water flow, and the flow velocity was gradually generated
around the root region, which promoted the circulation of nutrient solution. Moreover,
with the increase in flow velocity, the roots also receive kinetic energy from the water flow
when the water flow impinges on the roots. The kinetic energy can also be regarded as
physical stimulation, which can improve plant growth [
26
]. The kinetic energy from the
water flow may promote the elongation of the root, which may also explain why the root
lengths differed among flow patterns. Thus, increasing the flow rate will increase the root
length and yield in a certain range. Alternatively, if the flow rate is too high, the root
receives excessive physical stimulation, which not only prevents the ideal nutrient root
contact time [9] but may also affect plant growth [27].
The distribution of vorticity and velocity around plant roots is the reason that flow
affects the growth and nutrient absorption of hydroponic plants. The distribution of
vorticity and velocity represents the interaction between the nutrient solution flow and the
plant roots. In this study, by comparing dry weight and nutrient uptake, the 6 L/min flow
pattern was found to be a suitable flow pattern for the hydroponic cultivation of Swiss
chard (Beta vulgaris L. spp. cicla cv. Seiyou Shirokuki). However, this does not mean that this
flow pattern is suitable for all hydroponically cultivated crops. The studies cited in Table 3
investigated the effects of different flow rates on plant growth. The conclusions regarding
the impact of flow rate on plant growth can be analyzed based on the experimental flow
rate settings and results of previous research.
Table 3. Studies regarding the effect of flow rate on plant growth in hydroponics.
Authors and Time Flow Rate (L/min)
(Optimal Flow Rate) Plant Measurement for Plant Growth
Genuncio et al. (2000) [8] 0.75, 1, 1.5 (1.5)
Lettuce
Fresh weight
Tawaha et al. (2018) [9] 10, 20, 30 (20) Plant height, dry weight, fresh weight, number of leaves
Dalastra et al. (2020) [10] 0.5, 1.0, 2.0, 4.0 (1.0) Dry weight, fresh weight, nutrient accumulation
Khater et al. (2015) [14] 1.0, 1.5, 2.0 (1.0) Nutrient uptake, fresh weight, dry weight, N content
Nuwansi et al. (2016) [12] 0.8, 2.4, 4.0 (0.8)
Spinach
Plant height, leaf length, yield, percentage of height gain
Endut et al. (2009) [13] 0.8, 1.6, 2.4, 3.2, 4.0 (1.6) Plant height, growth rate
Hussain et al. (2015) [28] 1.0, 1.5, 3.2 (1.5) Plant height, percentage of height gain, yield
Soares et al. (2020) [11] 1.5, 2.5 (1.5)
Cauliflower
Leaf area, number of leaves, plant height, shoot diameter
Horticulturae 2021,7, 225 12 of 14
The formation of an ideal flow field structure suitable for hydroponic cultivation is
related to flow and root properties, especially the shape, elastic modulus, and stiffness.
For different plant species, the characteristics of roots are different [
29
]. Furthermore, the
fluid-structure interactions between plants and flow differ between species [
30
]. As the
response of roots with different characteristics to different flows varies (with the swing
and the obstruction of flow), the distribution of velocity and vorticity may also vary, even
in the same flow rate. Similarly, even for the same species of plants, the characteristics
(shape, elastic modulus, and stiffness) of plants in different growth stages may be different,
and their responses to the same flow pattern may also differ [
31
]. As shown in
Table 3
, in
hydroponics, it can be speculated that there are different ideal flow patterns for different
species of plants as well as different growth periods of the same plant species. Compared
with other flow patterns, plants under the ideal flow pattern absorbed the most nutrients
and accumulated the heaviest dry weights. In the hydroponic cultivation process, it is
feasible to maximize the yield of plants by regulating the flow pattern. In addition, multiple
environmental factors affect plant growth. Not only the flow rate and container size, but
also the plant spacing [
32
] and position impact the characteristics of the flow field in
hydroponics. Furthermore, the optimum flow pattern may also be linked with the width,
slope [
33
], and length [
14
] of the cultivation container, as these will affect the solution
depth and root aeration [
28
]. The relationship between these factors should be investigated
in future studies. To further understand the relationship between plant growth and flow
patterns in hydroponics, it is essential to study the combined effects of flow patterns
with other environmental factors (nutrient solution composition and concentration [
8
],
temperature [
28
], salinity [
11
], light intensity and wavelength [
34
], dissolved oxygen [
35
],
etc.) on the roots and whole plant. These topics will be the focus of our future studies, with
the aim of increasing the yield of hydroponically cultivated crops and the rational use of
energy and resources (e.g., fertilizer and water), which is of great value to the industry. We
believe that this study provides a foundation for further research in this area.
In hydroponic cultivation for vegetable production, increasing the yield by regulating
the flow rate is recommended [
9
]. However, in practice, increasing the flow rate affects
energy consumption [
10
]. Although abundant solar power can be used on drylands to try
to reduce energy costs [
36
], if the increase in flow rate is too low, it will have little effect
on the flow of the nutrient solution, which is not cost-efficient. If the increase in flow rate
is too high, it will reduce the overall crop yield. Therefore, it is necessary to identify a
reasonable flow rate for production in hydroponics.
5. Conclusions
In this study, a fluid visualization method was introduced to describe the flow pattern,
not just the flow rate, to explain the relationship between plant growth, root morphology,
and flow pattern through crop cultivation experiments. In addition, PIV digital image
analysis was newly utilized to observe the flow field of nutrient solutions in hydroponics.
According to the results of this study, changes in the flow rate impact the growth of
Swiss chard (Beta vulgaris L. spp. cicla cv. Seiyou Shirokuki). Specifically, (1) increasing the
flow rate promoted the growth of plants, however, the promotion effect of a low flow rate
on the growth of plants is not apparent. (2) With the increase in flow rate, there exists
a certain flow rate that is ideal for plant growth. Under this flow rate, ion absorption is
promoted, and the root system elongates due to reasonable physical stimulation, so as to
further absorb more nutrients and promote plant growth. (3) When the flow rate exceeds
the ideal flow rate, plant growth is hindered, and for some indicators, performs even worse
than when there is no flow rate. In addition, the variation trend of N uptake with the
increase in flow rate was similar to that of dry weight with the increase in flow rate.
Therefore, in hydroponic crop production systems, adjusting the flow rate can improve
plant yield; however, if the flow is set too fast or too slow, it will not sufficiently increase
the yield or be economical. Thus, a reasonable flow pattern must be carefully selected.
Because increasing the flow means increasing electricity consumption, it increases the cost
Horticulturae 2021,7, 225 13 of 14
of operation. Therefore, it is important to balance plant yield, nutrient management, and
energy utilization.
We must mention that, although we have done some work on this topic, there are
still some remaining problems that have not been completely solved. In this study, the
flow field was visualized as two-dimensional. However, hydroponic plants in containers
experience water flow from all directions. To observe the flow field of hydroponics under
different flow patterns from a three-dimensional standpoint (by 3D-PIV), the relationship
between plant growth and flow pattern would be explained more comprehensively. In
addition, as basic research, this study was carried out in a specifically sized device, and we
can explore how the flow field inside the device affects plant growth by PIV. However, in
the large-scale hydroponics cultivation, the influence of flow patterns on plants is more
complex. Moreover, it is extremely difficult to visualize a whole large-scale hydroponics
container by PIV. The flow pattern in hydroponics is affected by the interaction of flow
rate, container size, and plant root. It is necessary to put forward a general index, not only
including the flow rate, to guide the flow pattern regulation and cultivation device design
in hydroponics production. How to find a general index or method to guide the regulation
of flow pattern in hydroponics is also a future topic in this field.
Supplementary Materials:
The following are available online at https://www.mdpi.com/article/10
.3390/horticulturae7080225/s1, Table S1: Detail data of plant growth, root morphology and nutrient
uptake under different flow rates in this study
Author Contributions:
Conceptualization, K.T., S.Y. (Satoshi Yamada) and B.B.; methodology, K.T.,
S.Y. (Satoshi Yamada) and B.B.; software, B.B.; Investigation, B.B., X.W. and M.Y.; formal analysis,
X.W. and B.B.; resources, K.T. and S.Y. (Satoshi Yamada); data curation, X.W. and B.B.; writing—
original draft preparation, B.B.; writing—review and editing, K.T., B.B., S.Y. (Satoshi Yamada), M.Y.,
X.W., S.Y. (Sadahiro Yamamoto) and Y.I.; supervision, K.T., S.Y (Satoshi Yamada) and M.Y.; funding
acquisition, K.T. and S.Y. (Satoshi Yamada). All authors have read and agreed to the published
version of the manuscript.
Funding:
This research was funded by the Japan Science and Technology Agency (JST)/Japan
International Cooperation Agency (JICA), grant number JPMJSA1405.
Data Availability Statement:
All data generated or analyzed during this study are included in this
published article.
Acknowledgments:
Thanks to the Organization for Research Initiative and Promotion of Tottori
University for supporting us with technical support. Thanks to the Arid land Research Center of
Tottori University for supporting us with experimental equipment and experimental site. Thanks to
the International Platform for Dryland Research and Education (IPDRE) of Tottori University.
Conflicts of Interest: The authors declare no conflict of interest.
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... Temperature, substrate flow rate, ph levels, and fertilizer availability all have an impact on root growth and development. Healthy root growth is required for optimal nutrient uptake, water absorption, and overall plant vitality [6]. ...
... In hydroponic systems, nutrient uptake efficiency is influenced by plant species [29], nutrient concentration, pH [30], root health [6], temperature [31], light intensity [32] and solution flow rate. ...
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... Additionally, an air pump is unnecessary due to the unique reliance on air as the growth medium. However, a drawback arises as the plants are susceptible to wilting when the nutrient flow halts, leading to relatively rapid root drying as reported by Baiyin et al., [16]. ...
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In recent years, advancements in technology have reshaped the landscape of agricultural practices, aiming to address the challenges posed by conventional farming methods such as traditional hydroponic system. Traditional hydroponic systems often rely on conventional energy sources, leading to elevated energy consumption and carbon emissions. Addressing these challenges, the primary objective of this study is to design, implement, and evaluate an integrated hydroponic system that leverages IoT-based real-time monitoring and control, optimized solar energy utilization, and an electricity-saving box. IoT-enabled sensors and actuators monitor key parameters, facilitating automated adjustments to nutrient delivery, temperature, and humidity. Enhanced solar energy capture is achieved through advanced photovoltaic technologies, while the electricity-saving box ensures efficient power management. The findings demonstrate a substantial reduction in energy consumption compared to traditional hydroponic systems. The integrated approach contributes to minimized carbon emissions and resource utilization, aligning with eco-friendly cultivation practices. Real-time monitoring and control capabilities empower growers to optimize cultivation conditions for enhanced plant health and growth. In conclusion, this research underscores the potential of merging IoT technology, enhanced solar energy, and an electricity-saving box to transition hydroponic systems into sustainable and environmentally responsible platforms with the 35% of system efficiency enhancement achieved through the proposed method bring about transformative implications for automated hydroponic systems
... Understanding how different flow rates affect metabolic processes is, therefore, essential for optimizing hydroponic systems to maximize efficiency and yield. Accordingly, among the various factors influencing hydroponic cultivation, the dynamics of nutrient solution flow have garnered considerable attention because of their potential to modulate the plant root metabolism and overall growth efficiency [19]. ...
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... It allows efficient water and nutrient use with a thin, continuous film, requires less space, and is ideal for small or urban farming operations due to its ease of setup and management. A nutrient solution is another crucial component of hydroponics as it delivers water, oxygen, and essential minerals directly to plant roots in a soluble form, thereby supporting optimal growth and development [3]. Ensuring the right balance of water, oxygen, and minerals, along with effective nutrient solution management and suitable hydroponic technique selection, is critical for plant health and high yields [4]. ...
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... Second, the unit must mechanically support the plants. The amount of water that should flow to the hydroponic unit varies depending on the unit size, as well as the number and size of the plants being cultivated 70 . In the present study, two hand valves were installed in line ahead of the hydroponic unit with the fish culture pond to allow manual control of water flow to each. ...
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... 13,14 Efforts have also been made to investigate how the flow rate affects plant growth in hydroponic systems and to visualize the flow field around the roots. 15 The findings of the referred study suggest that plant roots are stimulated to grow up to a certain limit by an increase in the flow rate. However, an increase in the flow rate beyond a critical value has an adverse effect on plant growth, worse than the absence of flow. ...
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Preface to the Second Edition: Fluid mechanics has undergone rapid developments in recent decades, which must also be reflected in textbooks on the subject. Improved measuring methods have been developed and used to investigate fluid flows experimentally. Numerical calculation methods have been developed and applied, which nowadays support developments in large parts of the industry. These developments provide insights into flows that cannot be gained from mass balance considerations and the Bernoulli energy approaches alone. Numerical fluid mechanics has established itself as a field of knowledge that has become indispensable in the development departments of companies and research units in universities. Accordingly, education in fluid mechanics needs to be theoretically deepened. After an introduction to the subject, the present book provides the necessary basic mathematical and physical knowledge to be used in various sub-areas of fluid mechanics in order to develop a sound approach to these fields. In this second edition of the book on fluid mechanics, greater emphasis has been placed on ensuring that the physical causes of diffuse transport processes are presented in an understandable manner. Analogous to the molecular transport processes of heat (heat conduction) and mass (mass diffusion), molecular momentum transport is also treated. The term fluid friction, for molecular impulse transport, which is often mentioned in the literature, is avoided because it does not correspond to the correct physical process. In connection with modern fluid mechanics, it is necessary to use the available mathematical and physical knowledge to derive the basic equations of fluid mechanics. These derivations first take place for flows that do not show any gradients in the thermodynamic properties of the fluids, in which the self-diffusion of mass is, therefore, zero. With this assumption, the “Conventional Basic Equations” (CBEs) can be derived and the necessary derivations are made in a manner such that the steps involved are easy to understand. There is then an extension of the considerations made to derive the “Expanded Basic Equations” of fluid mechanics (EBEs). These also apply, under conditions that exist in fluid flows with strong density and temperature gradients or pressure and temperature gradients. Diffusion-driven mass, heat and momentum flows occur, which have to be considered in the basic equations of fluid mechanics, as is emphasized in this book. As a result, the book is extended compared with the first edition, as far as the derivations of the basic fluid mechanics equations are concerned. In some parts of the book, cuts have been made to the presentations in the first edition in order to focus the content more on the sub-topics of fluid mechanics that are important today. The orientation of the treatment of these topics has been maintained, i.e. introductory presentations in each of the sub-areas of fluid mechanics were chosen in order to provide the basic knowledge with which the further literature can be read and understood. It is important to emphasize that the derivations of the basic equations of fluid mechanics for fluid particles (Lagrangian considerations) and control volumes (Eulerian considerations) are presented in this book. The purpose of this is to ensure that the basic knowledge that leads to the continuity, momentum and energy equations is available in such a way that the equations are applied with a deep understanding of their validity limits. This may help to determine when the conventional basic equations of fluid mechanics can be applied and when the extended equations need to be used. The latter have to be applied in flows with strong pressure and temperature gradients, e.g. in micro-channel flows, shock wave flows, flows with high-temperature gradients, etc. The structure of the treatment of the different areas of fluid mechanics, chosen by the author in the first edition, has been retained. Hence, the representations in the various chapters were chosen so that each chapter can be dealt with in about a week, with two times two hours of lectures per week in a semester. Overall, the book provides the material for a two-semester lecture program on fluid mechanics, for which the book can be used for teaching. It is, of course, also suitable for self-education, but it requires a high degree of self-discipline in order to work through the chapters with the presented sequence of topics.
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An open-field cultivation combined-type aquaponic system (OCAS) was developed to effectively utilize saline groundwater and prevent soil salinization while ensuring food production in drylands. To achieve the sustainable food production of the OCAS in power-scarce areas, a stand-alone photovoltaic system (PVS) for the OCAS was designed through a feasibility study of utilizing solar energy to meet its power demand. As a case study, the OCAS was established in La Paz, Baja California Sur, Mexico, with power consumption 22.72 kWh/day and annual average daily global horizontal irradiation (GHI) 6.12 kWh/m2/day, considering the 2017 meteorological data. HOMER software was employed for performance analysis and techno-economic evaluation of an appropriate PVS. Thousands PVS configurations were evaluated in terms of total net present cost (NPC) and levelized cost of energy (COE). The PVS that fulfilled the power demand and had the smallest NPC was proposed, for which the NPC and COE were calculated as 46,993and46,993 and 0.438/kWh, respectively. The relationship between its annual power supply and power demand of the OCAS was also analyzed in detail. It was found that the operation hours and the amount of power generation by the proposed PVS were 4156 h and 19,106 kWh in one year. Additionally, it was predicted that the excess power would occur almost every afternoon and reach 43% of the generated power. Therefore, the COE can be further reduced by rationally utilizing the excess power during operation.
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Nutrient solution concentration (NSC) is a critical factor affecting plant growth in hydroponics. Here, we investigated the effects of hydroponic NSC on the growth and yield of sweetpotato (Ipomoea batatas (L.) Lam.) plants. First, sweetpotato cuttings were cultivated hydroponically in three different NSCs with low, medium, or high electrical conductivity (EC; 0.8, 1.4, and 2.6 dS m−1, respectively). Shoot growth and storage root yield increased at 143 days after plantation (DAP), depending on the NSC. Next, we examined the effect of NSC changes at half of the cultivation period on the growth and yield, using high and low NSC conditions. In plants transferred from high to low EC (HL plants), the number of attached leaves increased toward the end of the first half of the cultivation period (73 DAP), compared with plants transferred from low to high EC (LH plants). Additionally, the number of attached leaves decreased in HL plants from 73 DAP to the end of the cultivation period (155 DAP), whereas this value increased in LH plants. These changes occurred due to a high leaf abscission ratio in HL plants. The storage root yield showed no significant difference between HL and LH plants. Our results suggest that the regulation of hydroponic NSC during the cultivation period affects the growth characteristics of sweetpotato.
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The optimum flow rate of nutrient solution in hydroponic system can better nourish the crops, allowing healthy and faster growth of lettuce. However, flow also interferes with electric power consumption, so further researches are necessary, mainly on the effect of flow rate, nutrient accumulation and lettuce production. In this context, the aim of this study was to evaluate nutrition and production of head lettuce in relation to the nutrient solution flow in NFT hydroponic system. The treatments consisted of nutrient solution application at the flow rates 0.5; 1; 2, and 4 liters per minute in each cultivation channel. Five replicates per treatment consisted of 15 plants each. The flow in hydroponic systems to produce head lettuce alters the technical performance of the crop. Due to the greater nutrient accumulation in shoot and use efficiency of these elements, the highest production (g/plant) of head lettuce was obtained with a flow rate of 1 L/min of the nutrient solution.
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Plants live in constantly moving fluid, whether air or water. In response to the loads associated with fluid motion, plants bend and twist, often with great amplitude. These large deformations are not found in traditional engineering application and thus necessitate new specialised scientific developments. Studying Fluid-Structure Interactions (FSI) in botany, forestry and agricultural science is crucial to the optimisation of biomass production for food, energy, and construction materials. FSI are also central in the study of the ecological adaptation of plants to their environment. This review paper surveys the mechanics of FSI on individual plants. We present a short refresher on fluid mechanics then dive in the statics and dynamics of plant-fluid interactions. For every phenomenon considered, we present the appropriate dimensionless numbers to characterise the problem, discuss the implications of these phenomena on biological processes, and propose future research avenues. We cover the concept of reconfiguration while considering poroelasticity, torsion, chirality, buoyancy, and skin friction. We also cover the dynamical phenomena of wave action, flutter, and vortex-induced vibrations.
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Hydroponics is crucial for providing feasible and economical alternatives when soils are not available for conventional farming. Scholars have raised questions regarding the ideal nutrient solution flow rate to increase the weight and height of hydroponic crops. This paper presents the turbulent kinetic energy distribution of the nutrient solution flow in a nutrient film technique (NFT) hydroponic system using the computational fluid dynamics (CFD) method. Its main objective is to determine the dynamics of nutrient solution flow. To conduct this study, a virtual NFT hydroponic system was modeled. To determine the turbulent kinetic energy distribution in the virtual NFT hydroponic system, we conducted a CFD analysis with different pipe diameters (3.5, 9.5, and 15.5 mm) and flow rates (0.75, 1.5, 3, and 6 L min −1). The simulation results indicate that different pipe diameters and flow rates in NFT hydroponic systems vary the turbulent kinetic energy distribution of nutrient solution flow around plastic mesh pots.
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Leaf dry mass per unit area (LMA) is considered to represent the photosynthetic capacity, which actually implies a hypothesis that foliar water mass (leaf fresh weight minus leaf dry weight) is proportional to leaf dry weight during leaf growth. However, relevant studies demonstrated that foliar water mass disproportionately increases with increasing leaf dry weight. Although scaling relationships of leaf dry weight vs. leaf area for many plants were investigated, few studies compared the scaling relationship based on leaf dry weight with that based on leaf fresh weight. In this study, we used the data of three families (Lauraceae, Oleaceae, and Poaceae, subfamily Bambusoideae) with five broad-leaved species for each family to examine whether using different measures for leaf biomass (i.e., dry weight and fresh weight) can result in different fitted results for the scaling relationship between leaf biomass and area. Reduced major axis regression was used to fit the log-transformed data of leaf biomass and area, and the bootstrap percentile method was used to test the significance of the difference between the estimate of the scaling exponent of leaf dry weight vs. area and that of leaf fresh weight vs. area. We found that there were five species across three families (Phoebe sheareri (Hemsl.) Gamble, Forsythia viridissima Lindl., Osmanthus fragrans Lour., Chimonobambusa sichuanensis (T.P. Yi) T.H. Wen, and Hibanobambusa tranquillans f. shiroshima H. Okamura) whose estimates of the scaling exponent of leaf dry weight to area and that of leaf fresh weight to area were not significantly different, whereas, for the remaining ten species, both estimates were significantly different. For the species in the same family whose leaf shape is narrow (i.e., a low ratio of leaf width to length) the estimates of two scaling exponents are prone to having a significant difference. There is also an allometric relationship between leaf dry weight and fresh weight, which means that foliar water mass disproportionately increases with increased leaf dry weight. In addition, the goodness of fit for the scaling relationship of leaf fresh weight vs. area is better than that for leaf dry weight vs. area, which suggests that leaf fresh mass might be more able to reflect the physiological functions of leaves associated with photosynthesis and respiration than leaf dry mass. The above conclusions are based on 15 broad-leaved species, although we believe that those conclusions may be potentially extended to other plants with broad and flat leaves.