Experiments on the transition from the steady to the oscillatory Marangoni-convection of a floating zone under reduced gravity effect

The transition from the steady to the oscillatory Marangoni convection in a floating zone under reduced influence of the gravity is visualized by means of the already proved method of “light-cut-technique”. The Marangoni convection is caused by a negative temperature gradient from the upper to the lower copper plug, whose diameter is kept to a small magnitude of 3 mm Φ to obtain a small Bond's number. By this way the micro-gravity effect in respect to the Marangoni convection can be simulated. From the visualization and the simultaneous measurements of the local temperature the range of the Marangoni number for the transition is determined. A strong correlation exists between the observed period of the oscillation of the branching streamline between the two vortices on the plane with the axis of the floating zone on one hand and the period of the temperature oscillation on the other hand. A model conception for the physical mechanism is introduced to understand this oscillatory instability.     

Heat transfer of thermocapillary convection in a two-layered fluid system under the influence of magnetic field

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.     

Significance of fluid dynamics aspects for material science experiments

Fluid dynamics aspects for material science experiments may be treated with respect to purely space experiments and preparatory experiments on the ground. Preparatory experiments are necessary because little experience of material science experiments in space is available. Preparatory experiments on earth are needed in the field of surface tension and viscosity, surface layers, forming and positioning of liquids. Concerning space experiments the following subjects may be treated: convection phenomena, capillarity and kinetics of liquids. Convection phenomena (Marangoni convection) can be studied without disturbance by gravitation which has a considerable technological relevance. Under space conditions the kinetics of fluids may be studied in large model structures with changing capillarity and wetting properties.     

The effect of small vibrations on Marangoni convection and the free surface of a liquid bridge

The effects of small vibrations on Marangoni convection were investigated experimentally using a liquid bridge of 5 cSt silicone oil with a disk diameter of 7.0 mm, and an aspect ratio close to 0.5. Experiments were performed to determine the critical temperature difference data for no vibration case and with small vibrations applied. The experimental results have shown that the effect of small vibrations on the onset of oscillatory flow is small since the critical temperature difference data for different aspect ratios were not affected by the vibrations. To clarify the surface oscillation phenomena induced by external vibrations, a 3-D numerical simulation model was also developed using a level set algorithm to predict the surface oscillations of isothermal silicone oil bridges. By subjecting the liquid bridge to small vibrations, the surface oscillation characteristics were predicted numerically, and the numerical results compared well with the predictions of an analytical model proposed previously. Furthermore, the effect of small vibrations on the surface vibration amplitude of the liquid bridge is also discussed.     

Preliminary results of Texus 8 experiments on effects of surface tension minimum

A stable, observable liquid-gas interface was realized in an experimental cell (3 × 2 × 1 cm) under microgravity conditions. The liquid used was an aqueous 6.24 10^?3 molal solution of n-heptanol. A temperature gradient, established at the interface, resulted in the build-up of a Marangoni convection cell with the liquid flowing in an unusual direction (i.e. at the surface the liquid flowed from the cold to the hot side).The same experiment on Earth gives rise to a Marangoni cell superimposed on buoyancy cells. The Marangoni and the buoyancy cells then turn in opposite directions.     

Thermocapillary simulation of single bubble dynamics in zero gravity

The lack of significant buoyancy effects in zero gravity conditions poses an issue with fluid transfer in a stagnant liquid. In this paper bubble movement in a stagnant liquid is analysed and presented numerically using a computational fluid dynamics (CFD) approach. The governing continuum conservation equations for two phase flow are solved using the commercial software package Ansys-Fluent v.13 and the Volume of Fluid (VOF) method is used to track the liquid/gas interface in 2D and 3D domains. The simulation results are in reasonable agreement with the earlier experimental observations, the VOF algorithm is found to be a valuable tool for studying the phenomena of gas–liquid interaction. The flow is driven via Marangoni influence induced by the temperature difference which in turn drives the bubble from the cold to the hot region. A range of thermal Reynolds (Re_T) and Marangoni numbers (Ma_T) are selected for the numerical simulations, specifically Re_T=13–658 and Ma_T=214–10,721 respectively. The results indicate that the inherent velocity of bubbles decreases with an increase of the Marangoni number, a result that is line with the results of previous space experiments (Kang et al., 2008) [1]. An expression for predicting the scaled velocity of bubble has been derived based on the data obtained in the present numerical study. Some three-dimensional simulations are also performed to compare and examine the results with two-dimensional simulations.     

The study of Marangoni convection and the solid/liquid interface shape on a germanium float zone in microgravity

The study of the instability of the float zone in microgravity is necessary in order to produce pure and homogeneous crystals. Three types of instabilities may be present in a float zone. The first two, the static and dynamic instabilities, have been investigated by many authors. The third, onset of Marangoni convection is investigated in this study. The Navier-Stokes equations and the energy equation, in cylindrical coordinates, were solved using the finite element method. These pure and homogeneous germanium crystals will find application as integral components of sensitive γ radiation measuring equipment.     

Surface temperature distribution along a thin liquid layer due to thermocapillary convection

The surface temperature distributions due to thermocapillary convections in a thin liquid layer with heat fluxes imposed on the free surface are investigated. The nondimensional analysis predicts that, when convection is important, the characteristic length scale in the flow direction L, and the characteristic temperature difference ΔT₀, can be represented by and , respectively, where L_R and ΔT_T are the reference scales used in the conduction-dominant situations with A denoting the aspect ratio and Ma the Marangoni number. Having had L and ΔT₀ defined, the global surface-temperature gradient ( ), the global thermocapillary driving-force, and other interesting features can then be readily determined. Finally, numerical calculations involving a Gaussian heat flux distribution are presented to justify these two relations.     

The loss of stability in ground based experiments in liquid bridges

In this study our primary goal is to investigate the loss of stability of the steady convection in deformable liquid bridges. Definitely, the deformation plays an important role in the transition process from the steady axi-symmetric 2-D basic state to the 3-D periodical one. As it was shown experimentally by many researchers, the critical Marangoni number is very sensitive to the volume of liquid.

It seems to be proved^1–4, that the critical wave number for high Prandtl fluids (for example, silicone oil of different viscosities. Pr > 50) is m = 1 for aspect ratios Γ = height/radius ≥ 1.0 regardless of the free surface shape. But the data from our last experiments show, that by changing surrounding conditions around the liquid bridge we can change the critical wave number. Particularly, by placing the liquid bridge of diameter 2r = 6mm into another cylindrical volume of the diameter 2R = 12mm kept at constant temperature, the critical mode is switched from m = 1 to m = 2.     

Theoretical study about the Marangoni convection in a liquid column in zero-gravity

The thermal Marangoni effect on the surface of a liquid bridge induces a convection inside the liquid. For an imposed arbitrary periodic axial circumferential temperature distribution on the liquid surface the velocity distributions in radial-, angular- and axial direction are determined theoretically by solving the linearized Navier-Stokes equations. Of particular interest is the effect of the viscosity parameter $\text{v}\text{a}{}^2$ and axial wave length to diameter ratio $\text{l}\text{a}$. It was found that the increase of viscosity decreases the magnitude of the velocity distributions and that for small axial wave length to diameter ratios the radial- and axial velocities exhibit peak values close to the free surface of the liquid. This is in a less pronounced way also true for the angular velocity, which shows for increasing moderate values $\text{l}\text{a}\text{(0 ≤}\text{l}\text{a}\text{≤ 2}$) a strong increase in magnitude and for larger axial wavelength a decrease again. For increasing axial wavelength the peak value of the radial- and axial velocity shifts towards the center of the liquid bridge, of which for a further increase a decrease of the magnitude appears.     

The effect of surfactant redistribution on combined gravitational and thermocapillary interactions of deformable drops

Trajectories are calculated by the boundary-integral method for two contaminated deformable drops under the combined influence of buoyancy and a constant temperature gradient at low Reynolds number and with negligible thermal convection. The surfactant is bulk-insoluble, and its coverage is determined by solution of the time-dependent convective-diffusion equation. Two limits are considered. For small drops, the deformation is small, and thermocapillary and buoyant effects are of the same order of magnitude. In this case, comparison is made with incompressible surfactant results to determine when surfactant redistribution becomes important. Convection of surfactant can lead to elimination of interesting features, such as the possibility of two different-sized drops migrating with fixed separation and orientation, and can increase the difference between the drops' velocities. For larger drops, deformation can be significant, leading to smaller or larger drop breakup, and buoyant motion dominates thermocapillarity. In this case, convection of surfactant can increase deformation and offset previously observed inhibition of breakup for clean drops when the driving forces are opposed. This effect is less pronounced for larger size ratios. By extension, redistribution of surfactant can enhance deformation-increasing tendencies seen with driving forces aligned in the same direction.     

Influence of a surface tension minimum as a function of temperature on the marangoni convection

Aqueous long chain alcohol solutions have a surface tension which presents a minimum as a function of the temperature. At this particular temperature, the dimensionless Marangoni number is vanishing. It is thus expected that around the temperature of the minimum, Marangoni Convection would be slowered with a convective pattern deeply modified. An experiment to be performed in microgravity during the Texus 8 flight is described.     

Convection of liquid with internal heat release in a rotating container

The convection of heat-generating fluid in a rotating horizontal cylinder is experimentally investigated. The threshold of convection excitation, the structure of convective flows and the heat transfer in the cylinder depending on the heat release capacity, liquid viscosity and aspect ratio of the cavity are studied. It is found that the average convection is excited by the thermovibrational mechanism —the gravity force, rotating in the cavity frame, produces the oscillations of non-isothermal fluid relative to the wall, which in turn result in excitation of mean convective flows. It is shown that the structure of convective flows depends on the dimensionless velocity of rotation. At relatively low rotation velocity the convection develops in the form of a periodic system of vortices regularly distributed along the cylinder axis. The threshold of excitation (critical value of vibration parameter) of three-dimensional vortex structures grows with rotation velocity. Above some definite rotation velocity the convection develops as two-dimensional rolls parallel to the axis of rotation. The threshold of two-dimensional structures excitation does not depend on the rotation velocity. Besides the structure of thermal convective flows the analysis of the relatively weak currents generated by the inertial waves below the threshold of convection is performed.     

Oscillatory Thermocapillary Flows in Simulated Floating-zones with Time-dependent Temperature Boundary Conditions

This study deals with numerical simulations of the Maxus sounding rocket experiment on oscillatory Marangoni convection in liquid bridges. The problem is investigated through direct numerical solution of the non-linear, time-dependent, three-dimensional Navier–Stokes equations. In particular, a liquid bridge of silicon oil 2[cs] with a length L=20 [mm] and a diameter D=20 (mm) is considered. A temperature difference ΔT=30 [K] is imposed between the supporting disks, by heating the top disk and cooling the bottom one with different rates of ramping. The results show that the oscillatory flow starts as an ‘axially running wave', but after a transient time the instability is described by the dynamic model of a ‘standing wave', with an azimuthal spatial distribution corresponding to m=1 (where m is the critical wave number). After the transition, the disturbances become larger and the azimuthal velocity plays a more important role and the oscillatory field is characterized by a travelling wave. The characteristic times for the onset of the different flow regimes are computed for different rates of ramping.     

Investigation of Thermal Convection and Low-Frequency Microgravity by the DACON Sensor aboard the MirOrbital Complex

The DACON instrument for studying the convection caused by low frequency microaccelerations aboard spacecraft is described. The convection sensor serves as a measuring element of this instrument. This is a cylindrical cavity filled with air, where two crossed differential thermocouples are located. The thermocouple junctions lay on two mutually perpendicular lines parallel to the bases of the cylinder and crossing at its axis. The distances from the junctions to this axis are equal. The lateral surface of the cylinder is thermally insulated, the difference of temperatures on its bases being kept constant. One of the tasks for the sensor is to prepare the data for checking the adequacy of mathematical models of fluid convection under weightlessness conditions and for obtaining quantitative characteristics of the microgravitational medium. The results of ground-based tests of the DACON instrument and the results of experiments with it aboard the Mirstation are presented.     

Oscillatory thermocapillary flows in simulated floating-zones with time-dependent temperature boundary conditions

This study deals with numerical simulations of the Maxus sounding rocket experiment on oscillatory Marangoni convection in liquid bridges. The problem is investigated through direct numerical solution of the non-linear, time-dependent, three-dimensional Navier-Stokes equations. In particular, a liquid bridge of silicon oil 2[cs] with a length L = 20 [mm] and a diameter D = 20 (mm) is considered. A temperature difference ΔT = 30 [K] is imposed between the supporting disks, by heating the top disk and cooling the bottom one with different rates of ramping. The results show that the oscillatory flow starts as an ‘axially running wave’, but after a transient time the instability is described by the dynamic model of a ‘standing wave’, with an azimuthal spatial distribution corresponding to m = 1 (where m is the critical wave number). After the transition, the disturbances become larger and the azimuthal velocity plays a more important role and the oscillatory field is characterized by a travelling wave. The characteristic times for the onset of the different flow regimes are computed for different rates of ramping.     

Effect of gravity on the solidification of binary alloys—A numerical simulation

The paper illustrates the influence of gravity on convection in the mushy zone of solidifying alloys by numerical solution of the governing equations for the fluid flow.Different models for the permeability are compared and the effect of convection in the liquid ahead of the solidification front is taken into account.     

Non-intrusive,three-dimensional temperature and composition measurements inside fluid cells in microgravity using a confocal holography microscope

Application of a confocal scanning laser holography (CSLH) microscope to the study of fluid flow in a microgravity environment is described herein. This microscope offers a new, non-intrusive means to determine three-dimensional density gradients within solid objects, fluids, and plasmas, including flames. The index-of-refraction is determined from the phase measurements of the microscope, which is a function of the object temperature and composition. The object being studied is a fluid-cell chamber, which is heated and cooled on opposing walls to produce a steady-state fluid flow due to convection and heat transfer. The holograms are created from the interference of a “known” reference beam with an “unknown” object beam. A three-dimensional amplitude and phase image of the object is produced by the reconstruction of many holograms, where each hologram represents a scanned point inside the object.     

高空飞行环境中液体运载火箭底部热环境研究

采用数值模拟和飞行测试验证相结合的方法对液体运载火箭高空对流/辐射耦合换热问题开展系统深入研究。基于燃气多组分输运Navier-Stokes方程、热辐射方程、Realizable k-ε两方程湍流模型,建立了高空含自由流的运载火箭燃气喷流流动模型。辐射模型采用离散坐标法(DOM),空间离散采用二阶迎风TVD格式,对多个典型飞行高度火箭底部热流进行大型并行计算,将数值结果与试验数据进行广泛对比,验证了计算模型的精度和有效性。数值研究表明,火箭底部辐射热流在刚起飞阶段达到最大值,随着飞行高度上升,辐射热流逐渐降低,火箭底部对流热流表现为先升高后降低的趋势,并在20 km高空达到峰值。本文的预测分析方法对液体运载火箭底部热防护设计具有重要的理论意义和工程应用价值。