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.     

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.      

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.     

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.     

上随体Maxwell(UCM)流体热毛细液层弹性失稳的理论分析

通过对上随体Maxwell（UCM）流体热毛细液层线性稳定性的研究分析,发现流场会发生弹性失稳.扰动的增长速率随波数的增加而增加.与牛顿流体不同,UCM流体不存在临界Marangoni数,当波数达到某一临界值时会出现不稳定的弹性扰动波.该临界波数随弹性数和Marangoni数的增加而减小,当弹性数趋近于0时,流体即变为牛顿流体,而相应的临界波数趋于无穷.不同波数及传播方向上,弹性波的波速相同,而其增长速率在特定方向上达到最大.能量分析表明弹性波的扰动能量来自扰动应力做功.      

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.      

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.     

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.     

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.     

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.      

Conditions for the onset of temperature oscillations in a simulated floating-zone configuration

The floating-zone method for crystal growth is studied in simulated low-gravity conditions by suspending a drop of fluid vertically between two circular rods and heating the upper rod with a heater. Flow and temperature oscillations are observed under certain conditions. The temperature oscillation level and the oscillation frequency are measured against the Marangoni number for several aspect ratios using hexadecane and Fluorinert as the test fluids. It is observed that, contrary to what has been believed, the Marangoni number is not the proper parameter to describe the onset of oscillation.     

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.     

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.     

Magnetic flux expulsion as an acceleration mechanism for stellar winds

Observations of the Sun show that magnetic flux is emerging through the surface in small scales in rather copious amounts. In order to maintain a steady state field strength, this flux must either be locally dissipated or explelled or both. We believe that magnetic reconnection and subsequent flux explusion is the most effective manner in which to achieve this. If new flux emerges into an already preexisting coronal magnetic field, the ambient field must be pushed aside to allow room for the new flux. If the ambient field strength decreases outward with radial distance as is expected for all stars, it may pinch off the emerging flux through magnetic reconnection and expell it outward. The net force on an isolated diamagnetic plasmoid produced by this process is shown to assume a particularly simple form, depending only on the plasmoid's mass, its temperature, and the radial gradient of the logarithm of the undisturbed magnetic pressure. If a sufficient number of these magnetic elements are produced per unit time, this process translates to a net outward magnetic force on the coronal plasma which can be greater that the gas pressure force. Thus, a stellar wind can be produced by magnetic forces alone without the need for a high coronal gas pressure — a mechanism which could be effective in explaining why stars, such as the late-type giants, which possess cool coronae nevertheless exhibit vigorous coronal expansions.     

Thermocapillary-driven convection in supported and floating-zone crystallization

Marangoni flow was induced in a thin disk of molten tin with an atomically clean surface by heating it from below in an ultra high vacuum apparatus. The radial distribution of temperature was measured and no temperature oscillations were observed. Strong mechanical disturbances introduced at a Marangoni number of about 4300 died out quickly with time indicating that the system was stable. Mathematical models indicate that strong flows in a two cell structure exist under the conditions studied, and that the velocity profile in the cell near the surface is of the bouindary layer type which varies rapidly with depth.     

天舟一号货运飞船空间实验装置蒸发相变地面实验

以天舟一号货运飞船为依托,开展空间蒸发相变传热规律的科学实验研究,探索重力对蒸发传热传质过程的影响规律.设计了一套地面蒸发实验平台,以蒸发相变液体FC-72为研究对象,通过红外热像仪测温、热流量计、差分热电偶等手段,观测FC-72液层在不同台面温度、注液量等情况下的相变界面变化、蒸发表面特性、流体物性及Marangoni对流涡胞的变化等,获取其蒸发两相流体的液层温度差、表面温度场、热流量值、蒸发速率和涡胞结构等.实验结果表明:在其他条件不变的情况下,FC-72液层与蒸发台面的温差越高,其蒸发速率越快;注液量越大,蒸发速率也越大;在蒸发过程中出现了浮力对流涡胞和Marangoni对流涡胞.此外,通过地面蒸发实验可以确定空间科学实验选用的实验介质和材料,进而优化确定空间科学实验的工况、参数及流程等,部分地面实验结果也将直接成为天地对比实验的科学成果.      

MPDT超导磁喷管外部磁场影响分析

由于传统提供附加磁场的液冷铜线圈存在体积大、质量大、电耗大等显著缺点,因此电流密度高、体积小、损耗低的高温超导（HTS）磁体在附加场磁等离子发动机（AF MPDT）上的应用受到了广泛的关注。然而由于超导材料的临界特性,HTS磁体容易受到外部磁场的影响而发生失超。文章通过对MPDT放电回路的简化,采用仿真和试验的方法来分析简化回路通电时激发的磁场,并研究其对外围HTS磁体的影响程度。仿真结果表明,MPDT放电室内部磁场以周向磁场为主,且由于阳极壁面电流对内部磁场的屏蔽作用,使得外部几乎没有磁场分布。试验结果和仿真也取得了良好的一致性,因此在设计超导磁喷管时几乎可以不考虑来自MPDT放电室磁场的影响。该研究为HTS磁体在AF MPDT上的应用提供了参考。     

Mass and heat exchange in liquids enclosed in containing walls at zero gravity

The dominant phenomena in miscible binary mixtures of melts are the four transport processes (thermal diffusion, heat transfer, concentration diffusion and diffusive heat transfer). In binary melts with no perfect solubility of the components in solid and liquid phase also internal Marangoni convections driven by interfacial forces seem to be possible.     

Convective stability of immiscible fluids in parallel shearing motion —role of the diffusion

Coupling between the Laplace and the Marangoni effects in a parallelly moving diffusion system is studied. Convective instability arises from either pure Marangoni effect or Laplace effect which is always influenced by the Marangoni contribution. Near to , a common stable region is found under disturbances of concentrations and micro interface deformations. Gravity plays a role through the Laplace condition.     

Recent development of Marangoni flows theory and experimental results

Microgravity fluid dynamics deals with the thermodynamics and dynamics of fluid systems in low-gravity environments and, thus, covers a rather large variety of subjects /1/. Among them, free convection in systems with fluid-fluid interfaces has received renewed attention because these systems are found in many materials sciences processes and exhibit a number of new, interesting phenomena. This paper surveys some recent studies by the author and his coworkers on the free convection occurring in a system of two interfacing, immiscible fluids subject to an imposed temperature gradient in a gravity environment. In such a system, three classes of free convection may be distinguished: natural, Marangoni, and combined free convection, according to whether it is caused by thermally induced buoyant forces, Marangoni stresses, or both. For each class one may further distinguish different regimes according to the relative importance of convective and diffusive transport of momentum and internal energy.First, the use of order of magnitude analysis is illustrated to identify and determine the types of flow regimes that can be established for each class of free convection. Subsequently, the attention is focused on the study of the main features of the two classes of flow regimes that can be established when the leading driving action is the Marangoni stress: Marangoni boundary layers and Marangoni-Stokes flow. Finally, a brief review of the experimental experience of the author's team is reported, looking in particular at the space experiments performed on board the missions SL1 and D1 of the Spacelab.