Article

A model of heat and mass transfer inside a pressure cooker

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Abstract

A model has been developed to describe steam cooking in a pressure cooker. The physical and thermal characteristics of commercial pressure cookers and of the food cooked in them, heat and mass transfer laws and various phenomena (conduction in solids, liquid and gas free convection, undercooled and emitted steam boiling, condensation and also valve opening laws) were all taken into account. Gas and water were considered to be two homogeneous fluid compartments. The hot plate was also modelled. This model enabled the prediction of heat and mass fluxes and pressures, the composition of gas, the temperature in the fluid compartment and temperature pattern in food under non-steady conditions during the three periods of cooking (pressure increase, pressure regulation and pressure decrease). The model was validated experimentally using an instrumented device containing a model foodstuff (PTFE cube). The fluxes generated by the model enabled the description of pressure and temperature increases, and allowed us to suggest better methods for energy-saving and rapid steam cooking.

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... Unlike ordinary cooking pot (CP), a pressure cooker is an appliance that is used to cook foods at high pressure and temperature to reduce the cooking time. The use of saturated steam and reduction in cooking time are the two methods of preserving vitamins (Rocca-Poliméni et al., 2011). Pressure cookers have many nutritional, organoleptic and sanitary advantages however the literature does not have sufficient studies to explain these traits (Koca and Anıl, 1996;Rocca-Poliméni et al., 2011). ...
... The use of saturated steam and reduction in cooking time are the two methods of preserving vitamins (Rocca-Poliméni et al., 2011). Pressure cookers have many nutritional, organoleptic and sanitary advantages however the literature does not have sufficient studies to explain these traits (Koca and Anıl, 1996;Rocca-Poliméni et al., 2011). Rocca-Poliméni et al. (2011) developed a model which includes the physical and thermal characteristics of a commercial pressure cooker and of the food cooked in it based on the energy balance and heat and mass transfer relations. ...
... Pressure cookers have many nutritional, organoleptic and sanitary advantages however the literature does not have sufficient studies to explain these traits (Koca and Anıl, 1996;Rocca-Poliméni et al., 2011). Rocca-Poliméni et al. (2011) developed a model which includes the physical and thermal characteristics of a commercial pressure cooker and of the food cooked in it based on the energy balance and heat and mass transfer relations. ...
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... The aim of this study was, therefore, to firstly develop a kinetic model of the evolution of carrot texture as a function of time-temperature history. Then, this model was coupled with a previously developed heat and mass transfer model (Rocca-Poliméni et al. 2011) in order to predict the evolution of texture as a function of cooking time in a pressure cooker. Finally, global criteria of the degree of cooking were calculated and these criteria could be used to compare cooking in a pressure cooker with another cooking method objectively. ...
... This equipment supplies considerable heating power (up to 2500 W) with very low thermal inertia. This cooking device had previously been described in detail by Rocca-Poliméni et al. (2011). Figure 1 presents a schematic view of the instrumented device. ...
... Constant heat transfer coefficients were used for each transfer and were obtained from different correlations (Rohsenow et al. 1998;Incropera et al. 2007) for typical temperature differences except the heat transfer coefficients between the bottom wall of the pressure cooker and liquid water and between the external lateral walls and ambient air which were individually and experimentally determined by measurement of temperature under steady state. The heat transfer coefficients concerning the hot plate, dependent on its design and geometry, were also identified by specific experiments described in Rocca-Poliméni et al. (2011). Boiling was taken into account with two transitions. ...
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This study deals with changes to the food texture of carrot (Daucus carota) during steam cooking in a pressure cooker. A previously developed thermal pressure cooker model was used to predict the temperature evolution of the product from core to surface. This compartment model took into account heat and mass transfer laws and various phenomena to adequately describe pressure cookers’ mode of operation. In addition, a model predicting texture evolution as a function of the time-temperature history was proposed and its parameters were determined from experimental measurements in a standard Kramer cell after homogeneous cooking in a water bath. Combining the two models enabled an estimate of the degree of cooking from core to surface of the product as a function of cooking time. A volume averaged value for the degree of cooking was generated and permitted a good prediction of texture by comparison with the Kramer cell measurements. The combined model can be used to compare different cooking conditions reaching the same final texture.
... This method assures the attainment of the pasting or gelatinization temperature of starch in the ceramic slurry as compared with the conventional heating process. However, the issue of long heating time was partially solved because it relied on the heat transfer of the materials and the pre-heating of the pressure cooker and the load to cause pressurized steam heating [15]. Thus, the present study demonstrates a simultaneous pressure cooking and microwave irradiation to consolidate red clay-based ceramic suspension loaded with the starch powder. ...
... This can be conveniently carried out inside a microwave pressure cooking system that speeds up the gelatinization of starch and shortens the heating time. This new system operates with the same heating principle as the conventional pressure cooker [15,16]. The difference with this new system is that the whole assembly is made up of microwave transparent materials [17]. ...
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... Its originality lies in the possibility to connect the power consumption of the furnace to the temperature field in the cavity, and to allow access to the heat flux received by a test material. As done by [9], we used a Polytetrafluoroethylene (PTFE) cylinder to simulate a model foodstuff. ...
... This action is therefore not taken into account in our numerical simulations. In this study, the developed methodology is applied to a model foodstuff (PTFE cylinder), as has been done in previous studies [9]. ...
... Steam undergoes a change phase from liquid to gas, an energy-intensive process. It has been reported that steam evaporation accounts for 90%, whereas conventional losses account for 10% of the total heat losses in a cookpot [22]. To overcome heat losses through evaporation, a study used sunflower oil in one of the vessels [23]. ...
... There is a high energy demand in the now days due to population growth, and as a result, most households still use traditional cooking methods such as burning charcoal and firewood [8]. Traditional cookstoves have negative effects on the natural environment, deforestation, global warming, and poverty, with time-and labor-intensive tasks on women, which are also harmful to their health [3,[8][9][10][11][12]. According to [13] Tanzania is one of the majority of African nations, in which access to clean cooking technology is a severe and developing issue. ...
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... A complete rice cooker was modeled by [102], with the objective of simulating variations in behavior according to different energy profiles, as saving energy is an important factor in food processing, along with the final quality of the products. ...
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... Degree of starch gelatinization to be taken into account. Some researchers including Rocca-Polimeni et al. (2011) have modeled a full rice cooker for energy saving purposes. ...
... (b) The reduction of the heat transfer coefficient h 3,w due to the presence of air, which does not condensate, can be taken into account accordingly to [48][49] where y a is the ratio between the air mass and the total mass (air and steam). (c) The food product arrangement into the processing tank, reducing the overall food surface involved in the heat exchange due to overlapping layers, can be taken into account with the corrective coefficient n -0.25 [50][51]. ...
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Many industrial processes require high amounts of steam. Design and operation of steam plants are particularly complex when the steam supply is required for short periods and with a varying time schedules. To fulfil the discontinuous needs of steam users, avoiding the steam boiler oversizing to the peak value of the steam request, a thermal energy storage (TES) system can be adopted. The proper sizing of TES systems, which, in this application, is constituted by a steam accumulator vessel installed between the steam generator and the consumer, cannot be based on the sole initial and final state conditions of the steam storage, since a performance prediction of the process time-evolution is also required.
... It is commonly used for cooking food faster than conventional cooking methods, which presents a significant saving of energy. The heating sequence taking place inside the pressure cooker involves three successive events 17 . The first and second periods involve heating of liquid and elevation of interior pressure due to rise in temperature and water vaporization. ...
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A wide-ranging analytical investigation of laminar film condensation is presented. The situation under study is an isothermal vertical plate with steam as the condensing vapor and air as the noncondensable gas. In addition to the noncondensable gas, the analytical model includes interfacial resistance, superheating, free convection due to both temperature and concentration gradients, mass diffusion and thermal diffusion, and variable properties in both the liquid and the gas-vapor regions. Heat-transfer results are obtained for a wide range of parameters including bulk concentration of the noncondensable gas, system pressure level, wall-to-bulk temperature difference, and degree of superheating. It is demonstrated that small bulk concentrations of the noncondensable gas can have a decisive effect on the heat-transfer rate. For instance, for a bulk mass fraction of air equal to 0.5 per cent, reductions in heat transfer of 50 per cent or more are sustained. The influence of the noncondensable gas is accentuated at lower pressure levels. It is shown that the aforementioned reductions in heat transfer are due entirely to the diffusional resistance of the gas-vapor boundary layer. The interfacial resistance is shown to be a second order effect. A similar finding applies to thermal diffusion and diffusion thermo. The effect of superheating, which is very small in the case of a pure vapor, becomes much more significant in the presence of a noncondensable gas. A reference temperature rule is deduced for extending the Nusselt model to variable-property conditions.
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The kinetics of vitamin C destruction during the cooking of a potato dish were measured. Five domestic cooking apparatuses, including a superheated steam oven, a free convection oven, a forced convection oven, a microwave oven and a pressure cooker, were compared. Whatever the cooking condition, when the residence time was equal to the cooking time, the reduced quantity of vitamin C remaining in the potato dish was approximately 0.7. A model considering the thermal and the enzymatic destruction of vitamin C and the thermal deactivation of enzymes was proposed. The parameters of the model were identified using the results of the cooking experiments and isothermal kinetics of vitamin C destruction in potato extracts. The simulations showed that the loss of vitamin C at the cooking time was mainly due to the enzymatic destruction. A prolonging of the residence time resulted in additional losses by thermal destruction. A low water content and the presence of air in the cooking atmosphere further increased the destruction rate.
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During underground coal gasification (UCG), a cavity is formed in the coal seam when coal is converted to gaseous products. This cavity grows three dimensionally in a nonlinear fashion as gasification proceeds. The cavity shape is determined by the flow field, which is a strong function of various parameters such as the position and orientation of the inlet nozzle and the temperature distribution and coal properties such as thermal conductivity. In addition to the complex flow patterns in the UCG cavity, several phenomena occur simultaneously. They include chemical reactions (both homogeneous and heterogeneous), water influx, thermomechanical failure of the coal, heat and mass transfer, and so on. Thus, enormous computational efforts are required to simulate the performance of UCG through a mathematical model. It is therefore necessary to simplify the modeling approach for relatively quick but reliable predictions for application in process design and optimization. The primary objective of this work is to understand the velocity distribution and quantify the nonideal flow patterns in a UCG cavity by performing residence time distribution (RTD) studies using computational fluid dynamics (CFD). The methodology of obtaining RTD by CFD is validated by means of of representative laboratory-scale tracer experiments. Based on the RTD studies, the actual UCG cavity at different times is modeled as a simplified network of ideal reactors, called compartments. The compartment model thus obtained could offer a computationally less expensive and easier option for determining UCG process performance at any given time, when used in a reactor-scale model including reactions. The network of ideal reactors can be easily simulated using a flowsheet simulator (e.g., Aspen Plus). We illustrate the proposed modeling approach by presenting selected simulation results for a single gas-phase second-order water−gas shift reaction.
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The great progress in the energy efficiency of household appliances is primarily generated by the improved design of refrigerators, freezers, washing machines and dishwashers. In the long term, a positive effect on household electricity consumption is expected with increasing numbers of old appliances being replaced by new and more energy-efficient ones. Studies of electricity consumption in private households show that energy efficiency can also be improved by changes in consumer behaviour, in addition to improvements in the technical design of appliances. Consumer studies on behavioural aspects of electricity consumption related to large household appliances have already been conducted, but little information is available about cooking. However, the influence of consumer behaviour on energy consumption is particularly interesting where cooking is concerned. The most important processes of manual and machine food preparation shall therefore be investigated regarding performance and energy efficiency. This provides a basis for attempting to estimate the energy-saving potential of optimized cooking processes in order to obtain sound scientific information about the energy-saving potentials for the most typical and relevant cooking processes in European households, which are: The study shows that the energy consumption of typical household cooking processes varies greatly according to the chosen method. In the tests carried out for this study, the method making most sense in terms of energy consumption saved between 50% and 70% energy compared with the least favourable method. Based on the results, the authors provide recommendations on energy-saving cooking methods.
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The expression Y = (1 + Zn)1/n where Y and Z are expressed in terms of the solutions for asymptotically large and small values of the independent variable is shown to be remarkably successful in correlating rates of transfer for processes which vary uniformly between these limiting cases. The arbitrary exponent n can be evaluated simply from plots of Y versus Z and Y/Z versus 1/Z. The expression is quite insensitive to the choice of n and the closest integral value can be chosen for simplicity. The process of correlation can be repeated for additional variables in series. Illustrative applications are presented only for flow, conduction, forced convection, and free convection, but the expression and procedure are applicable to any phenomenon which varies uniformly between known, limiting solutions.
Article
The quantity of heat transmitted from a metal surface to boiling water increases as the temperature difference ΔT is increased, but after the ΔT has reached a certain limit, quantity Q decreases with further increase in ΔT. This turning point is the maximum value of heat transmitted. The existence of this point was actually observed in the experiment. Under atmospheric pressure, ΔT corresponding to the maximum value of heat transfer for water at 100°C falls between 20 degC to 40 degC, and Q is between 1080000 and 1800000 kcal/m2 h (i.e. between 2000 and 3000 kg/m2h, if expressed in constant evaporation rate at 100°C) ; this figure is larger than the maximum value of heat transfer as was previously considered. Also, the minimum value of heat transfer was obtained, and in the Q-ΔT curve for the high temperature region, the burn-out effect is discussed.
Article
The effects of four culinary treatments (steaming and boiling in a covered pot, a pressure cooker or a microwave oven) on the chlorophyll a and b, all-trans-lutein, phaeophytin a and b and all-trans-β-carotene (provitamin A) contents of green beans (Phaseolus vulgaris, L.) were evaluated. The pigments in the fresh and treated beans were determined by gradient elution reverse-phase HPLC with UV detection. Boiling the beans in a covered pot, pressure cooking or microwaving them caused smaller losses of pigments than steamed cooking. Since pressure cooking also generally leads to smaller losses of nutritious components (e.g. vitamin C), it is recommended over the traditional method of boiling beans in a covered pot.
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In many rural areas, poor people still depend on wood and other biomass fuels for most of their household and income-generating activities. The difficult, time-consuming work of collecting and managing traditional fuels is widely viewed as women's responsibility, which is a factor in women's disproportionate lack of access to education and income, and inability to escape from poverty. Therefore, it is important for energy access programs to have a special focus on women. New options for energy access and sustainable livelihoods, like small-scale biofuels production, can have dramatic benefits for rural women, and their families and communities. Energy development, as both a driving force and a consequence of such tremendous changes, has had profound impact on economic, social, and environmental development. Rural energy has always been a critical issue due to years of energy shortage for both households and industries. Biomass, for long time, has been the only available fuel in many rural areas. The situation in rural areas is even more critical as local demand for energy outstrips availability and the vast majority of people depend on non-commercial energy supplies. Energy is needed for household uses, such as cooking, lighting, heating; for agricultural uses, such as tilling, irrigation and post-harvest processing; and for rural industry uses, such as milling and mechanical energy and process heat. Energy is also an input to water supply, communication, commerce, health, education and transportation in rural areas.
Article
The kinetics of riboflavin degradation in green gram whole (Vigna radiata L.), as well as in pure riboflavin solutions, at initial concentrations present in green gram were studied over a temperature range of 50–120 °C (steady state temperature process). Riboflavin degradation followed first order kinetics, where the rate constant increased with an increase in the temperature. The temperature-dependence of degradation was adequately modelled by the Arrhenius equation. The degradation kinetics of riboflavin, in normal open pan cooking, pressure-cooking and a newly developed and patented fuel-efficient `Eco-cooker', were also studied (unsteady state heating process). A mathematical model, to predict the losses of riboflavin from the time–temperature data of the unsteady state heating/cooking process, has been developed using the steady state kinetic parameters obtained. The results indicate riboflavin degradation of a similar magnitude in all three modes of cooking used in the study.
Article
Mathematical simulation studies for thermal food processes require knowledge of thermal diffusivity and convective heat transfer coefficient. There have been different experimental and empirical approaches reported in the literature for determination of these parameters where different approximations were applied. One of the most applied approaches is to assume an infinite convective heat transfer coefficient at the surface boundary when analytical solutions for infinite slab, infinite cylinder and sphere are used for further determinations. Since this approach results in certain errors in results, it would be an important task to determine thermal diffusivity and convective heat transfer coefficient simultaneously.Therefore, the objective of this study was to review the literature for determination of thermal diffusivity and mathematically apply optimization methodologies for simultaneous determination of heat transfer coefficient. For this purpose, constrained optimization methodologies, based on analytical solutions of infinite slab, infinite cylinder and sphere were defined, and results were discussed intensively. The results showed that a precise determination of thermal diffusivity and convective heat transfer coefficient is a difficult task, but knowing the location where the experimental time–temperature was obtained would really simplify this problem.
Chapter
Data for thermodynamic quantities. Find in the library at 540 C Compound dH dG S CuCl -137.2 -119.9 86.2 CuCl2 -220.1 -175.7 108.09 CuO -157.3 -129.7 42.6 Cu2O -168.6 -149.0 93.1
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Energy conservation in cooking rice is an important area for scientific investigation. Experiments were conducted to measure the energy consumption during normal and controlled cooking of both unsoaked and presoaked rice using two types of domestic cooking appliance, namely, an electric rice cooker and a pressure cooker. Cooking rice with controlled energy input, under pressure and with presoaking were the three approaches, which resulted in saving of energy. Electric rice cooker was found to be the most energy-efficient among the different combinations of cooking appliance and the types of heat source used in the study. The energy consumption was much less (23–57%) compared to other methods. Prior soaking of rice generally reduced energy consumption as well as cooking time, more prominently during normal cooking. Controlled cooking offered more savings in energy compared to presoaking rice. Considering the energy consumption and cooking time, controlled cooking of presoaked rice was found to be the best among the several approaches investigated. Measurement of water evaporation loss appears to be a good indirect method of assessing the efficiency of heat utilization. Controlled energy input is another useful method that optimizes the energy utilization for cooking, besides presoaking and pressure cooking. Controlled cooking is desirable in all types of rice cooking.
Article
Cooking rate was examined for excess-water and optimal-water cooking of unsoaked and presoaked rice. The linear relationship between the logarithmic moisture gain ratios of cooked rice and the time of cooking showed that cooking rate followed the equation of a first-order chemical reaction. During excess-water cooking of presoaked rice a single rate constant was observed, while in the case of unsoaked rice two rate constants were observed. Interestingly, optimal-water cooking in electric rice cooker showed that the number of rate constants increased by one as compared to excess-water cooking for both unsoaked and presoaked rice. Controlled cooking, an energy saving method proposed earlier by the authors behaved similar to the normal method of cooking under otherwise identical conditions. Present evaluation of cooking rate constants under commonly practiced conditions of cooking would be useful in designing more efficient rice cookers.
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