Conference Paper

Prospects and Challenges for Magnetic Propellant Positioning in Low-Gravity

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Abstract

[The final version of this paper can be found in https://doi.org/10.1016/j.actaastro.2021.06.045] The sloshing of liquids in low-gravity entails several technical challenges for spacecraft designers and operators. Those include the generation of significant attitude disturbances, the uncontrolled displacement of the center of mass of the vehicle or the production of gas bubbles, among others. Magnetic fields can be used to control the position of a magnetically susceptible propellant and transform a highly stochastic fluid system (non-linear sloshing) into a deterministic problem (linear sloshing). The employment of magnetic settling forces also produces an increase of the natural sloshing frequencies and damping ratios of the liquid. Despite being proposed in the early 1960s, this approach remains largely unexplored. A recently developed magnetic sloshing control model is here presented and extended, and potential space applications are explored. Technical challenges associated with the reachability, scaling and stability of paramagnetic and ferromagnetic systems are discussed, unveiling a roadmap for the implementation of this technology.

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... The understanding of this phenomenon is of major importance for the study and characterization of the dynamics of space vehicles [2,3]. As a way to control the position of liquids in low-gravity environments, the application of electric [4] and magnetic [5][6][7][8][9][10] fields has been proposed to generate a gravity-equivalent restoring force. The magnetic approach receives the name of Magnetic Positive Positioning (MP 2 ). ...
... The characterization of the natural oscillation frequencies of magnetic liquids is a first and fundamental step towards the development of MP 2 technologies, such as Tuned Magnetic Liquid Dampers [11,12] or passive and active positioning devices [10]. The need for accurate simulation frameworks has motivated the development of coupled quasi-analytic [13] and numerical models [14], as well as the execution of microgravity experiments [15,16]. ...
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This paper addresses the operation in microgravity of the surface reconstruction device whose design is detailed in the first part of the manuscript. The system, employed during the drop tower campaign of the UNOOSA DropTES 2019 StELIUM experiment, studies the axisymmetric and lateral oscillations of a ferrofluid solution in microgravity. The free liquid surface is reconstructed in a cylindrical tank and relevant metrics of the magnetic sloshing problem, such as contact angles, hysteresis parameters, natural oscillation frequencies, or damping ratios, are derived. The result is a rich and unique database where several phenomena of scientific and technological interest are reported for the first time. The dependence of the fundamental axisymmetric and lateral modal frequencies with the applied magnetic field is consistent with the literature and past experiments. Although the detection system was designed and built using low-cost hardware, high-quality results are obtained.
... The study unveils a high risk of arcing inside the tanks and highlights the need for large, heavy and noisy power sources [5]. The magnetic equivalent, named Magnetic Positive Positioning (MP 2 ), has also been suggested to exploit the inherent properties of paramagnetic, diamagnetic, and ferromagnetic liquids [6][7][8]. ...
... This is appropriate for lowsusceptibility fluids, such as liquid oxygen or liquid hydrogen. The development of coupled magnetohydrodynamic simulation frameworks has however been identified as a key step towards the design of novel magnetic liquid sloshing devices [8]. Since the position of a highly-susceptible fluid modifies the magnetic field distribution, such numerical models should simultaneously solve the Navier-Stokes (fluid-dynamic) and Maxwell (magnetic) equations. ...
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The term sloshing refers to the movement of liquids in partially filled containers. Low-gravity sloshing plays an important role in the configuration of space vehicles, as it affects their dynamics and complicates the propellant management system design. Magnetic forces can be used to position a susceptible fluid, tune its natural frequencies, and increase its damping ratios in low-gravity. However, prior work shows that the analysis of this phenomenon, named magnetic liquid sloshing, requires advanced modeling capabilities. This paper introduces a coupled magnetohydrodynamic (MHD) model for the study of low-gravity axisymmetric magnetic liquid oscillations. The incompressible, viscous mass and momentum balances are solved together with the steady-state Maxwell equations by following a monolithic solution scheme. The method is fully implicit, allowing to reach a steady-state solution in a single time step. Five regions are used to discretize the simulation domain, that combines non-singular mappings and a meshfree approach. The steady-state solution (basic flow) is verified with equivalent computations from Comsol Multiphysics assuming the geometry and physical properties of the ESA Drop Your Thesis! 2017 drop tower experiment. Future steps include the study of linear oscillations, free surface stability properties, and lateral oscillations, among others.
... More recently, the ESA Drop Your Thesis! 2017 experimental campaign measured the axisymmetric sloshing of ferrofluids when subjected to an inhomogeneous magnetic field in microgravity (32; 33; 34). Quasi-analytical magnetic sloshing models (35) and feasibility analyses (36) have also been presented. ...
... Based on the existing bibliography on the topic, the lateral sloshing of magnetic liquids in microgravity can be regarded as an almost unexplored phenomenon with potential applications in space. Those include passive MP 2 , active MP 2 for center of mass positioning, and propellant sloshing damping, among others (36). Defining characteristics, such as the magnetic deformation of the meniscus or the shift of natural sloshing frequencies and damping ratios, have to be explored in relevant environments in order to improve our physics understanding and modeling capabilities. ...
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Liquid sloshing represents a major challenge for the design and operation of space vehicles. In low-gravity environments, a highly non-linear movement can be produced due to the lack of stabilizing forces. This gives rise to significant disturbances that impact on the propulsion and attitude control systems of the spacecraft. The employment of magnetically susceptible fluids may open an interesting avenue to address this problem, but their dynamics in low gravity remain practically unexplored. The UNOOSA DropTES StELIUM project aims at filling this gap by studying the lateral sloshing of a ferrofluid solution subjected to an inhomogeneous magnetic field in microgravity. This paper describes the design process, challenges and preliminary results of the experiment, which was successfully launched at ZARM's drop tower in November 2019. The outcomes will be employed to validate the quasi-analytical models developed by the authors and set the path for the design of magnetic propellant positioning devices in space.
... Magnetic fields can be used to control liquid sloshing if the fluid responds to such stimulus [30]. This approach, known as Magnetic Positive Positioning, has been explored in the past for cryogenic propellants [12,31,32] and can be also employed to adjust the frequencies and damping ratios of a fluid system [33]. ...
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This paper describes an inexpensive, non-invasive, and highly adaptable surface reconstruction device for opaque liquids. The instrument was developed to study the lateral sloshing of ferrofluids in microgravity as part of the UNOOSA DropTES 2019 StELIUM project. Its design is driven by the geometrical and mechanical constraints imposed by ZARM’s drop tower, where the experiment was launched in November 2019. The launch catapult and deceleration systems impose strong axial g-loads to a system that is confined in the reduced capsule environment. Redundant procedures are implemented to measure the first two lateral sloshing frequencies and damping ratios of the magnetic liquid, as well as its equilibrium surface in microgravity. Ideal vertical resolutions between 0.25 and 0.4 mm/px can be achieved with the configuration here proposed. The final performance depends, among other factors, on the correct application of the robust calibration procedure that is documented in this work.
... The study unveiled a high risk of arcing inside the tanks and highlighted the need of large, heavy and noisy power sources. Instead, it has been suggested to make use of the inherent magnetic properties of paramagnetic and diamagnetic liquids, a strategy known as Magnetic Positive Positioning (Papell 1963;Martin and Holt 2000;Romero-Calvo et al. 2020d). A relevant work in this field is the NASA Magnetically Actuated Propellant Orientation (MAPO) experiment, that studied the magnetic positioning of liquid oxygen through a series of parabolic flight experiments with ferrofluids (Martin and Holt 2000). ...
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The sloshing of liquids in low-gravity entails several technical challenges for spacecraft designers due to its effects on the dynamics and operation of space vehicles. Magnetic settling forces may be employed to position a susceptible liquid and address these issues. Although proposed in the early 1960s, this approach remains largely unexplored. In this paper, the equilibrium meniscus and axisymmetric oscillations of a ferrofluid solution in a cylindrical tank are studied for the first time while subject to a static inhomogeneous magnetic field in microgravity. Coupled fluid-magnetic simulations from a recently developed inviscid magnetic sloshing model are compared with measurements collected at ZARM's drop tower during the ESA Drop Your Thesis! 2017 campaign. The importance of the fluid-magnetic interaction is explored by means of an alternative uncoupled framework for diluted magnetic solutions. The coupled model shows a better agreement with experimental results in the determination of the magnetic deformation trend of the meniscus, but the uncoupled framework gives a better prediction of the magnetic frequency response which finds no theoretical justification. Although larger datasets are required to perform a robust point-by-point validation, these results hint at the existence of unmodeled physical effects in the system.
... This phenomenon is known as magnetic buoyancy and has been applied to terrestrial boiling experiments with ferrofluids [31,32]. Previous works on low-gravity magnetohydrodynamics have explored the diamagnetic manipulation of air bubbles in water [33,34], the positioning of diamagnetic materials [35], air-water separation [36], protein crystal growth [37], magnetic positive positioning [38][39][40][41][42], magnetic liquid sloshing [43,44], or combustion enhancement [34], among others. The application of Lorentz's force on liquid electrolytes has also been studied as a way to enhance hydrogen production [45][46][47][48][49][50][51][52][53][54][55]. ...
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An established biomimetic process for the synthesis of aqueous ferrofluids using polymers has been subjected to systematic microwave irradiation at different wattages primarily to see if the magnetization could be increased by microwave irradiation and if so how would it affect the stability of the fluid. Care has been taken to maintain ambient conditions of synthesis even after three cycles of microwave irradiation before oxidation and ten cycles after it, so as not to violate the basic principles of the process. Detailed characterization using, x-ray diffractometry, transmission electron microscopy, fourier transform infra-red spectroscopy, dynamic light scattering, thermo-gravimetric analysis, differential thermal analysis and vibrating sample magnetometry showed that these fluids containing iron oxide nanoparticles-poly(vinyl) alcohol nanocomposites are highly stable in the proportions established by us. Measurements at five different wattages double the saturation magnetization but the stability remains unaffected compared to the one without microwave irradiation, forcing us to believe that the incubation of the iron salt solution and the polymer in the right proportion before oxidation is what contributes to the stability and that increasing the number of cycles of microwave irradiation at this stage, perhaps, would have led to a more pronounced effect.
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The current state of our knowledge of the burning characteristics of carbon, aluminum and boron slurries is discussed. Particle agglomeration, and in many cases the formation of semiporous shells increase the overall combustion time, thereby requiring a burner of longer characteristic length. Current thoughts about the probable causes of particle agglomeration, in a slurry fuel, are reviewed and the techniques of drop fragmentation as a means of eliminating large agglomerates are discussed. Large agglomerates burn slowly and are responsible for lower combustion efficiency, unacceptable combustion chamber deposits and an increased particulate emission in the exhaust. Possible applications of coal/water and coal oil/slurry fuels are discussed briefly in a separate section. Details of reaction kinetics of either metal or coal combustion are beyond the scope of this paper.
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The surface responses of a magnetic fluid in a container subject to a magnetic field and vertical vibration are examined. Three kinds of observations were made in these experiments: mapping stability boundaries, determining nonlinear surface responses, and a comparison between cases with and without magnetic fields.
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This paper presents a procedure to analyze the free and forced liquid sloshing motions in an axisymmetric tank of arbitrary shape at low-gravity environments. The free-vibration problem is solved by extending the analysis of Satterlee and Reynolds for a circular cylindrical tank with a flat bottom. The forced-motion problem is solved by first expanding the velocity potential, the interface wave height, and the forcing functions in terms of the normal mode shapes obtained in the free-vibration analysis. The solutions hold for any arbitrary horizontal translational motion of the tank.
Article
Summary form only given. The treatment of cancer, in its present form, implies the corroboration of several therapeutic methods, including the hyperthermia. In general, the latter does not provide a therapy by itself, but is used rather as a complementary part during chemotherapy and radiotherapy. The scientific literature proves that the degradation of the stabilizing coating of nanoparticles from ferrofluids, due to biochemical processes, can in general lead to a degradation of the magnetic energy-heat converter properties; this may lead to an inefficiency of the ferrofluid use for oncologic hyperthermia. Starting from these considerations, we decided to investigate the behaviour of a medical ferrofluid infiltrated in a tumor and exposed to gamma-ray treatment. The study followed the effect of ferrofluid irradiation with doses specific to the intensive therapy. The ferrofluids studied were obtained by chemical precipitation of the magnetite, its dispersion in kerosene or in water and the stabilization with oleic acid or with dodecyl amine, respectively.
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A tuned magnetic fluid damper (TMFD) is a dynamic absorber using a magnetic fluid. A characteristic of the TMFD is changing natural frequency of a magnetic fluid sloshing under a magnetic field. The magnetic fluid sloshing in a coaxial cylindrical container was analyzed theoretically under the axisymmetrical magnetic field. The theoretical results showed that a radial component of the magnetic field also changed the natural sloshing frequency. A policy of the suitable design of the TMFD was presented and the effect of the radial component of the magnetic field was verified experimentally.
Article
Effective viscosity of magnetic fluid is calculated numerically based on the diffusion equation for the spherical particles with permanent magnetic moment. The result is compared with that of the classical constitutive equation proposed by Shliomis. It is found that unlike Shliomis's equation, the viscosity remains monovalued as a function of the shear rate. A new constitutive equation which reproduces the numerical result is proposed.
Article
Sloshing is a phenomenon that occurs when a liquid with a free surface is severely agitated in a liquid storage container. In an axisymmetric container, even though the excitation is lateral, the liquid oscillates with rotational movement around the central axis of the container. This phenomenon is called swirling and may be unstable swirling or stable swirling. We measure the velocity profile of a sloshing magnetic fluid using an ultrasonic Doppler velocimetry method called UVP, and examine the relationship between internal velocity profiles and swirling phenomena, in particular, stable swirling phenomena. We calculated power spectra from the velocity data using a fast Fourier transform and observed that the most dominant peak in the power spectrum moved to higher frequencies as the magnetic field intensity was increased, whereas a derived peak at a lower frequency moved to lower frequencies as the magnetic field intensity was increased.
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The effect of decrease of magnetization of kerosene and diester based ferrofluids after gamma-radiation has been observed. The gamma-radiation induced aggregation and sedimentation have been suggested for the explanation of experimental facts.
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Ferrofluids are being considered as potential candidates both in basic and applied research owing to their novel optical and magneto-optical properties. We have synthesised surfactant (N-Cetyl-N,N,N-trimethylammonium bromide, CTAB)-coated nanoscale gadolinium oxide (Gd2O3) based ferrofluids and then irradiated by gamma (γ-) rays with doses in the range of 32 Gy–2.635 kGy. High-resolution transmission electron microscope (HRTEM) analysis shows that the particles have developed intragranular defects owing to γ-ray irradiation. Fourier transform infrared (FT-IR) and photoluminescence (PL) studies also support the formation of defect ordering upon irradiation. Further, PL study indicates abrupt change of the symmetry factor with increase in γ-dose. By viewing the nature of variation between relative intensity of the defect-related emission and dose-dependent symmetry factor, one can predict the tunability of PL response. A proper understanding of the PL response of the irradiated nanoscale rare-earth oxides would find new avenues for lasing and other optoelectronic/photonic devices.
Article
This volume provides a useful guide to the basic properties of all types of chemical propellants, explaining their uses in various types of propulsion. This knowledge will enable the propulsion engineer to know the possibilities, and strengths and weaknesses, of many types of fuel, thus enabling him to cut through the copious, but often meaningless, data on the subject. (Author)
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Heat transfer of a two-layer fluid system has been of great importance in a variety of industrial applications. For example, the phenomena of immiscible fluids can be found in materials processing and heat exchangers. Typically in solidification from a melt, the convective motion is the dominant factor that affects the uniformity of material properties. In the layered flow, thermocapillary forces can come into an important play, which was first emphasized by a previous investigator in 1958. Under extraterrestrial environments without gravity, thermocapillary effects can be a more dominant factor, which alters material properties in processing. Control and optimization of heat transfer in an immiscible fluid system need complete understanding of the flow phenomena that can be induced by surface tension at a fluid interface. The present work is focused on understanding of the magnetic field effects on thermocapillary convection, in order to optimize material processing. That is, it involves the study of the complicated phenomena to alter the flow motion in crystal growth. In this effort, the Marangoni convection in a cavity with differentially heated sidewalls is investigated with and without the influence of a magnetic field. As a first step, numerical analyzes are performed, by thoroughly investigating influences of all pertinent physical parameters. Experiments are then conducted, with preliminary results, for comparison with the numerical analyzes.
Article
A combination of both experimental and computational simulation results have recently provided strong evidence that magnetic positioning may be a feasible alternative technology for managing cryogenic propellants onboard spacecraft. One prerequisite in the assessment of magnetic propellant management is the ability of predicting propellant reorientation in full-scale propellant tanks. A computational simulation is used to model magnetically induced liquid oxygen (LOX) flows in reduced gravity. Simulations of magnetic positive positioning of LOX are presented and the influence of the magnetic field and background acceleration on reorientation timing is explored. A dimensionless reorientation time is sought to compliment the magnetic Bond number and Bond number as an additional predictive correlating parameter for scaling this process. Evidence is provided that supports the continued use of these correlating parameters to predict the magnetic fields required to reorient cryogenic propellants in full-scale spacecraft tanks. Further, this study supports the conclusion that magnetic positive positioning appears to be a viable emerging technology for cryogenic propellant management systems that merits further computational investigation and space-based experimentation to establish the technology base required for future spacecraft design.
Article
Experimental and computational studies have shown that a sufficiently strong magnetic field can influence a magnetically susceptible liquid. An improved simulation integrates an electromagnetic field model and incompressible flow model to predict fluid reorientation using realistic magnetic fields. Flow fields are presented incorporating several realistic magnetic fields to verify and validate the connectivity of the integrated models. Conclusions are drawn about the fidelity of the integrated simulation in modeling magnetically induced fluid flows. The simulation is used to model the application of magnetic positive positioning of LOX in a reduced gravity experiment utilizing a realistic magnetic field. Preflight experiment predictions of the performance of the magnetic field in reorienting LOX are presented and recommendations are made for future design.
Article
Characteristics of a tuned magnetic fluid damper are examined. The optimal depth of a magnetic fluid in a cylindrical container is calculated using a linear analysis of a magnetic fluid sloshing. In order to avoid swirling in lower depth fluids, several experiments using greater fluid depths are carried out and a good damping range is obtained.
Article
This paper presents a non-exhaustive overview of magnetic force formulations mainly used in ferrohydrodynamics. All of these formulations give the same global result but the local force density is different from each other. We propose to compare these formulations in order to highlight which one is the best representation of the local force density. In order to find a reference of local force distribution, computations have been carried out using the virtual work method on particles surrounded by thin layers of air. The whole particles and air have been homogenized to create a linear uniform material. Finally, force distributions have been computed and have been compared to the reference calculated by virtual work method.
Article
This users manual is the second part of a two-part report describing the NASA Lewis CEA (Chemical Equilibrium with Applications) program. The program obtains chemical equilibrium compositions of complex mixtures with applications to several types of problems. The topics presented in this manual are: (1) details for preparing input data sets; (2) a description of output tables for various types of problems; (3) the overall modular organization of the program with information on how to make modifications; (4) a description of the function of each subroutine; (5) error messages and their significance; and (6) a number of examples that illustrate various types of problems handled by CEA and that cover many of the options available in both input and output. Seven appendixes give information on the thermodynamic and thermal transport data used in CEA; some information on common variables used in or generated by the equilibrium module; and output tables for 14 example problems. The CEA program was written in ANSI standard FORTRAN 77. CEA should work on any system with sufficient storage. There are about 6300 lines in the source code, which uses about 225 kilobytes of memory. The compiled program takes about 975 kilobytes.
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This report details the results of a series of fluid motion experiments to investigate the use of magnets to orient fluids in a low-gravity environment. The fluid of interest for this project was liquid oxygen (LO2) since it exhibits a paramagnetic behavior (is attracted to magnetic fields). However, due to safety and handling concerns, a water-based ferromagnetic mixture (produced by Ferrofluidics Corporation) was selected to simplify procedures. Three ferromagnetic fluid mixture strengths and a nonmagnetic water baseline were tested using three different initial fluid positions with respect to the magnet. Experiment accelerometer data were used with a modified computational fluid dynamics code termed CFX-4 (by AEA Technologies) to predict fluid motion. These predictions compared favorably with experiment video data, verifying the code's ability to predict fluid motion with and without magnetic influences. Additional predictions were generated for LO2 with the same test conditions and geometries used in the testing. Test hardware consisted of a cylindrical Plexiglas tank (6-in. bore with 10-in. length), a 6,000-G rare Earth magnet (10-in. ring), three-axis accelerometer package, and a video recorder system. All tests were conducted aboard the NASA Reduced-Gravity Workshop, a KC-135A aircraft.
Article
A theory of magnetic fluid sloshing in a solenoidal magnetic field is developed herein. It shows that (a) the free-surface waves on a magnetic fluid are dynamically similar to the waves on an ordinary liquid in a reduced gravity field, and (b) the apparent reduction in gravity depends on the strength of the applied magnetic field. But, a deviation from true low-gravity behavior occurs whenever the Bond number (ratio of effective gravitational force to surface tension force) is much smaller than 1.0 lite deviation is caused by a magnetic interaction that induces a jump in pressure across the free surface. To verify the conclusions of the theory and to evaluate the usefulness of magnetic sloshing as a low-g-avity sloshing simulation, an exploratory series of tests was conducted using a magnetic-colloid liquid, and a large solenoidal electromagnet. Measured slosh natural frequencies agreed well with theory, but the measured slosh damping was larger than predicted by existing correlation equations.