Oscillatory thermocapillary convection in floating zones under normal- and micro-gravity

The thermocapillary convection in a floating zone becomes oscillatory, exceeding a Marangoni number of approximately 10⁴. The oscillatory state of thermocapillary convection has been verified under 1 g and 10^?4 g and the features seem to be fairly independent of the gravity level. The transition point from the laminar to the oscillatory state (critical Marangoni number), however, depends on the magnitude and direction of the buoyant force.     

Two-dimensional convection in liquid layer related to crystal growth techniques in space

In this paper, the Marangoni convection including buoyancy convection in two-dimensional fluid model was investigated experimentally and theoretically. The transparent liquid in the test cell was heated and cooled under various conditions. The fluid flow driven by surface tension and by buoyancy force was visualized and measured. The flow patterns, velocity distributions and temperature field were obtained and they were compared with the results of the numerical solutions. The effect of the configuration and the convection in microgravity on crystal growth was discussed. The temperature field of the crystallizing surface was predicted.     

Thermocapillary migration of bubbles and droplets

The migration of a droplet in a large liquid body possessing a uniform temperature gradient is analyzed in the creeping flow limit for small values of the Marangoni number (ε). The method of matched asymptotic expansions is used for the solution of the field equations. The migration velocity is calculated to 0(ε²) and the result reduces to that of Young, Goldstein and Block [10] in the limit of zero Marangoni number.     

环形浅液池内低Prandtl数流体超临界热毛细对流演化

为研究低Prandtl数（Pr）流体热毛细对流演化过程，对环形浅液池内Pr=0.011的流体热毛细对流进行三维数值模拟.研究发现:当Marangoni数较小时，流动为轴对称稳态流动；当Marangoni数超过某一临界值后，流动失稳并转变为热流体波，其波数随Marangoni数增加而减小，而波动主频增大；随着Marangoni数增加，流动加强，沿周向运动的热流体波演变为沿径向运动的径向波，其波数大大减小；当Marangoni数继续增加时，波动频谱曲线噪声增加，呈广谱特性.因此，在计算范围内热毛细对流的演化过程为:轴对称稳态流动-热流体波-单周期径向波-多周期三维振荡流动.      

微重力环境下蒸发液层热毛细对流的数值模拟

提出了一种新模型来研究由单一物质构成的液层在其纯蒸气中的蒸发.液层置于微重力环境中并且受到水平方向温度梯度的作用,液层的热毛细对流和蒸发耦合在一起,使得气液界面的传热传质规律更加复杂.用理论分析的方法求解了不考虑热毛细效应的纯蒸发模型,得出温度场分布和界面质量流量的解析表达式.对于热毛细对流和蒸发耦合情况,采用有限差分的投影算法同时求解Navier-Stokes方程和能量方程,得到了不同蒸发Biot数和Marangoni数下流场和温度场的稳态数值解.论述了蒸发Biot数和Marangoni数对界面传热传质的影响,提出并解释了蒸发和热毛细对流耦合的三种模式.      

过冷核态池沸腾中的Marangoni效应

分析了过冷核态池沸腾过程中气泡横向运动现象,指出其成因在于相邻气泡界面温度差引起的Mara-ngoni对流对周围液体的吸引.通过对该流动的尺度分析,得到了气泡横向运动特征速度及其可观测度的估算公式,其预测结果与实验观测相一致.特别是对极细小的初始核化气泡,该公式预测了强烈的横向Marangoni对流会导致气泡顶端微射流的形成.该效应在加热面水平向下或微重力沸腾等气泡脱落频率较低的情形中尤为重要.      

微重力条件下悬浮区中的Marangoni对流

本文研究微重力条件下悬浮区中的表面张力梯度驱动对流。采用有限元方法数值研究二维、轴对称悬浮区中的定常流动和温度分布,讨论P_r数及自由面上散热条件的影响。计算表明,P_r数(M_α数)增大时,流区大部分自由表面上温度梯度减小,流区流速较小,对流热输运较扩散效应增强。只要能维持自由面上一定的温度梯度,在较大的P_r数(M_α数)时,仍能得到收敛的定常解。     

Hydrothermal instability of thermocapillary convection in large-Prandtl-number liquid bridges under microgravity

Linear stability analysis was performed to study the mechanism of transition of thermocapillary convection in liquid bridges with liquid volume ratios ranging from 0.4 to 1.2, aspect ratio of 0.75 and Prandtl number of 100. 2-D governing equations were solved to obtain the steady axi-symmetric basic flow and temperature distributions. 3-D perturbation equations were discretized at the collocation grid points using the Chebyshev-collocation method. Eigenvalues and eigenfunctions were obtained by using the Q–R method.The predicted critical Marangoni numbers and critical frequencies were compared with data from space experiments. The disturbance of the temperature distribution on the free surface causes the onset of oscillatory convection. It is shown that the origin of instability is related to the hydrothermal origin for convections in large-Prandtl-number liquid bridges.     

EURECA and SGF performances

The EURECA platform offers unique characteristics for microgravity research: a very low level micro-gravity spectrum and a long operation time for recoverable experiments.

Five core facilities on board will perform an impressive number of experiments. The main purpose of the Solution Growth Facility (SGF) is growing crystals at low temperatures by using the double diffusion technique in three compartment reactors. The micro-gravity eliminates the convection in the liquid, while Marangoni convection is avoided by the absence of free surfaces. The thermal gradient in the buffer zone is better than 0.01°C/cm. Turbulence is eliminated by control of the valve rate and by a pressure compensation system. All surfaces are coated with Halar. The diffusion rate can be controlled by the use of filters. The SGF contains three independently controlled reactors.

A forth reactor contains an experiment aiming at measuring the Soret coefficient of twenty binary organic mixtures and aqueous electrolyte solutions.     

Attempt to study Marangoni flow of low-Pr-number fluids using a liquid bridge of silver

In order to experimentally investigate the Marangoni flow of low-Prandtl-number fluids in a liquid bridge geometry under the condition of small Marangoni numbers close to the critical Marangoni numbers Ma_c1 and Ma_c2, the formation of a liquid bridge of silver was attempted. The available temperature difference between the upper and lower rods to obtain a small Marangoni number, such as Ma = 50, was calculated for a 5 mm high liquid bridge for several molten metals. For molten silver, the possible temperature difference was estimated to be 16 K, whereas, for molten silicon, this was 0.38 K, which is unrealistic for the purposes of experiments. For silver, a free surface can be obtained in the wide range of oxygen partial pressures, whereas, for molten silicon, the available oxygen partial pressure range is very small; equilibrium oxygen partial pressure for SiO₂ formation is as low as 1.1 × 10⁻¹⁴ Pa. A liquid bridge of molten silver was successfully prepared and temperature oscillation was observed; the estimated Marangoni number was 160 and oscillation frequency was 0.26 Hz.     

The magnitude of thermocapillary convection in larger melt volumes

Thermocapillary convection (TC) has been studied experimentally in a NaNO₃-melt of some cm³ volume. TC has been identified, its streamlines and flow velocities have been visualized and measured. TC dominated over natural convection in this ground based experiment and will be a very significant flow phenomenon in the relevant μ-g materials science experiments with melts with free surfaces. The sensitivity of TC to surface perturbations is pointed out. TC is very difficult to control.     

Two-dimensional Marangoni and buoyancy convection related to crystal growth techniques in space

The natural convection in the horizontal liquid layer driven both by surface tension gradient and buoyancy was investigated experimentally and theoretically.The fluid motion was visualized by mixing fine flakes of aluminum into the liquid. At the same time, the temperature field was visualized by the Mach-Zehnder interferometry and the local temperature gradient distributions were visualized by making use of the refraction of parallel incident light.The numerical analysis using the Galerkin method was also carried out which agreed well with the experimental results.It was found that the velocity and temperature fields of Marangoni convection were varied depending on the aspect ratio of the liquid layer and on the coupled buoyancy convection.     

Study of the Marangoni convection around a surface tension minimum under microgravity conditions

At equilibrium, aqueous fatty alcohol solutions presents a surface tension minimum versus temperature. The influence of such an extremum on the Marangoni convection is studied. Two experiments have been performed under microgravity conditions (Texus 8 (1983) and Texus 9 (1984) flights). The velocity fields are determined by following the paths of tracer particles and furthermore, in the Texus 9 experiment, differential interferograms have been recorded.     

Correlation of oscillations of flow and temperature in floating zone under microgravity

The correlation between oscillations of flow and temperature of the Marangoni convection in a cylindric floating zone are studied. Photographs of the oscillating flow patterns are taken by triggering with a thermocouple signal of the temperature oscillation to reveal the frequency and phase correlations. Whilst both frequencies coincide, phase shift between temperature and flow oscillations exists.     

枝晶生长中的对流效应与形态选择——地基实验研究

通过在生长界面前区域创生液相流动,研究了在稀薄合金中对流对强制性枝晶生长的作用。本文首次报告了对流对强制性枝晶生长的影响。SCN—Acc.模型合金中的定量实验表明,枝晶生长的动力学和形态是温度梯度、生长速度和枝晶端前沿液体流动速度的函数。作为以地面为基础的实验研究,将有助于理解太空凝固试验的结果。     

The effect of temperature gradient on the motion of a bubble in reduced gravity

The bubble motion is described as a function of thermal variation of surface tension of a bubble, temperature gradient, gravity, bubble diameter, viscosity and density. The relations among those values are shown in graphs, from which the requirements for the measurements to ascertain the velocity due to thermal variation of surface tension are made clear. According to these requirements, the experiments on the velocity of the bubble in a temperature gradient were conducted and the Marangoni effect on a bubble motion was ascertained.     

Natural convection driven by buoyancy and surface tension forces under external magnetic field

Two-dimensional natural convection driven both by buoyancy and surface tension in the horizontal layer of an electrically conducting liquid which is subjected to a horizontal temperature gradient and a vertical magnetic field is studied theoretically. The flow and temperature distribution in the liquid layer is analysed for two cases; (1) the top surface is free and the bottom is a rigid wall, and (2) both surfaces are rigid. The effect of the magnetic field on the flow velocity and the temperature distribution is made clear and the simple expressions are obtained for two extreme cases of the sufficiently large magnetic field and the small magnetic field.     

Marangoni convection in a liquid layer under the simultaneous action of a transverse magnetic field and rotation

Asymptotic stability characteristics with respect to the onset of Marangoni convection in a liquid layer under the simultaneous action of a large transverse magnetic field and a large rate of rotation are investigated. In certain parameter ranges there is a decrease in critical Marangoni number for increasing magnetic field and rotation depending on the coupling between interfacial perturbations and rotation.     

纵向非均匀多孔介质Marangoni对流不稳定性

理论研究了纵向非均匀多孔介质中流体表面张力驱动的对流不稳定性.充满液体的多孔介质层从下方加热,上方自由表面冷却,形成可引起多孔介质液层Marangoni-Benaxd对流流动的纵向温度梯度.采用线性化的Brinkman-Forchheimier方程作为控制方程组,对孔隙率分别为线性函数、正弦三角函数分布的非均匀多孔介质液层的Marangoni-Benaxd问题进行了线性稳定性分析.通过采用Chebyshev-Tau谱方法求解广义特征值问题,得到了系统临界Maxangoni数随无量纲波数变化的中性稳定性曲线,分析和比较了孔隙率的变化对液层对流稳定性和流场结构的影响,获得了纵向非均匀多孔介质液层不稳定性现象的新特征.