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.     

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.     

Numerical modelling of the interface conditions in coupled marangoni flows

The implementation in numerical codes of the coupling conditions between bulk phases adjacent to an interface exhibiting Marangoni effect is examined. The conditions are detailed in the case of a vorticity, stream-function, temperature formulation of the field equations. Numerical examples are reported for particular cases.     

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.     

A micro-gravity simulation of the Marangoni convection

An experimental verification of Marangoni convection in the liquid inter-space between two-coaxial discs is carried out at reduced gravity effect using small Bond's number obtained by choice of small characteristical diameter. Silicon oil is used as working fluid. The upper or lower disc can be heated electrically. The flow is visualized by illuminating fine powder of Titandioxide in the fluid with a vertical “light cut” of about 0.1 mm thickness, which is produced by a laser with a cylindrical glass rod and a microscope objective. Photographs and moving pictures are taken from a TV monitor. From these the vortex configuration and the velocity distribution can be determined, which would be expected for the Marangoni convection in the zero-g condition, for example in the spacelab.     

Effects of variable transport properties on thermal Marangoni flows

The effects of temperature dependence of the diffusion coefficients on the solution fields of Thermal Marangoni Flows in micro-gravity is analyzed by using an unsteady—variable mesh—two dimensional—finite difference numerical code to solve the full Navier-Stokes equations.A typical cylindrical floating zone geometry is analyzed and the estimation of the deviations caused by considering a temperature-dependent variable viscosity is verified with respect to the most important field parameters (streamlines, isotherms, isobars, Nusselt heating curves, velocity and temperature profiles).Comparison with TEXUS experiment is finally performed.     

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.     

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 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.     

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 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.     

On the onset of the oscillatory regimes in Marangoni flows

Recent experiments in microgravity environment (Texus, Spacelab) have shown that Marangoni Numbers, at the onset of oscillatory flow in floating zones, exceeded by more than one order of magnitude the value previously proposed as critical values. A new criterion is proposed based on the dynamic Weber number prevailing at the surface conditions; the new parameter seems to fit much better all the available experimental findings obtained so far.     

Regional and seasonal limitations for Mars intrinsic ecopoiesis

Mars ecopoiesis is a human controlled process consisting in changes needed for anaerobic life to be established on planet surface. The daily minimum temperature on present day Mars is well below the water freezing point, due to the low thermal inertia of the surface. A simple time-dependent model to evaluate the ground temperature is developed here. It takes into account the incident solar radiation, the greenhouse effect and surface thermal inertia. The model is applied to two modified Martian atmospheres. Increasing surface thermal inertia seems to be necessary for Mars intrinsic ecopoiesis. This can be done either by removing the regolith layer covering the bedrock or by regolith compression. The Northern hemisphere of the terraformed Mars appears to be more hospitable than the Southern hemisphere, because the amplitude of the daily temperature excursion there is lower and the freezing temperature appears at higher latitudes. A regional (and seasonal) terraforming of Mars is suggested.     

相关信道下一种新的发射天线选择算法

现有的天线选择算法大多都是假设信道是独立同分布的,而实际的信道是相关的。针对这一问题,本文在研究盖尔圆算法的基础上,提出了一种新的用于相关信道的低复杂度天线选择算法。算法利用奇异值估计方法给出最小奇异值的下界,通过递增的方法,选择使信道矩阵最小奇异值的下界最大的列从而提高最小奇异值,使得容量最大化并得到较好的误码性能。理论分析与仿真结果表明,该算法在射频链路较少时具有很低的复杂度,同时容量和误码性能优于随机选择算法,接近最优选择算法。     

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.     

空间站空空支架天线热设计与仿真分析

为研究核心舱飞行姿态、空间外热流、核心舱发动机羽流参数以及天线外表面热控涂层对空间站空空支架天线温度的综合影响,验证天线被动热控设计的有效性,进行了2种低温工况和6种高温工况的热分析。结果显示:低温工况下,通信天线惯性飞行时的最低温度低于正向飞行时的;展开臂多层表面最低温度为-85 ℃,满足温控指标。高温工况下,通信天线惯性飞行时的温度高于正向飞行时的;轨控发动机的羽流热效应大于偏航发动机的。通信天线内外表面均喷涂ACR-1温控白漆,1倍轨控发动机羽流热流密度时,最高温度为123 ℃,可满足实际使用要求。     

烧蚀材料的多光谱真温测量法

应用棱镜分光式多波长光电高温计对氧乙炔焰烧蚀材料的真实温度进行了测量。精心地选择波段及处理方法使烧蚀材料剥离、水蒸汽及烟雾影响减至最小，采用一点标定技术解决了高温区标定问题。     

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.