Numerical Investigation of Thermocapillary Convection in a Liquid Layer with Free Surface

2014 ◽  
Vol 25 (6) ◽  
pp. 335-341 ◽  
Author(s):  
Xiaoming Zhou ◽  
Xiulan Huai
Author(s):  
Takamasa Watanabe ◽  
Hiroshi Kawamura

To produce high-quality materials, a large number of studies have been carried out for the solidification and melting process of metals and semiconductors in both terrestrial and space environments. The previous studies focused mainly upon the solidification and melting processes themselves. In the real system, however, one cannot neglect effects of convection in molten materials, such as natural and thermocapillary convections, upon the resultant quality of the materials. This study aims to investigate experimentally the effect of the thermocapillary convection upon the directional solidification in a liquid layer with the free surface. Especially, the solidification morphology is emphasized. Three types of interface morphology, planar, cellular and dendrite, can be seen during the growth of solid-liquid interface (SLI). These three types emerge depending upon the increasing interface instability in the order of the planar to the dendrite. The interface instability is a function of the growth rate and the temperature gradient. In case of no convection, it is already known which morphology among the three types emerges according to the balance between the growth rate and temperature gradient. In this experiment, succinonitrile-acetone (SCN-ACE) system was used as test fluid for a model of an alloy. This is often used for solidification experiments, because its coagulation form is similar to real metal and its main physical properties and phase diagram are known in detail. Basically experimental set-up was a typical Bridgman-type furnace. The temperature gradient and the growth rate were able to be controlled independently. Thermocapillary convection was induced over the molten material surface, because a temperature gradient was imposed in a liquid layer with the free surface. The growth of SLI was observed with a microscope. All of experimental apparatus were placed into a glove box filled with Ar gas because SCN-ACE oxidized easily. In case of the experiment without the free surface, a single type of morphology emerged depending upon the solidification condition. On the other hand, in case of “with” the free surface, two types of morphology co-existed across the thickness in a fairly large range of experimental condition. Even if the growth rate of the SLI at the free and bottom surfaces is equal, a distinct difference is observed in the solidification morphology between the both surfaces. That is, either planar or cellular morphology appears in the free surface while the dendrite in the bottom surface (see Fig. A).


2001 ◽  
Author(s):  
Bok-Cheol Sim ◽  
Abdelfattah Zebib

Abstract Thermocapillary convection driven by a uniform heat flux in an open cylindrical container of unit aspect ratio is investigated by two- and three-dimensional numerical simulations. The undeformable free surface is either flat or curved as determined by the fluid volume (V ≤ 1) and the Young-Laplace equation. Convection is steady and axisymmetric at sufficiently low values of the Reynolds number (Re) with either flat or curved interfaces. Only steady convection is possible in strictly axisymmetric computations. Transition to oscillatory three-dimensional motions occurs as Re increases beyond a critical value dependent on Pr and V. With a flat free surface (V = 1), two-lobed pulsating waves are found on the free surface and prevail with increasing Re. While the critical Re increases with increasing Pr, the critical frequency decreases. In the case of a concave surface, four azimuthal waves are found rotating clockwise on the surface. The critical Re decreases with increasing fluid volume, and the critical frequency is found to increase. The numerical results with either flat or curved free surfaces are in good quantitative agreement with space experiments.


2020 ◽  
Vol 24 (6 Part B) ◽  
pp. 4159-4171
Author(s):  
Shuo Yang ◽  
Rui Ma ◽  
Qiaosheng Deng ◽  
Guofeng Wang ◽  
Yu Gao ◽  
...  

A uniform axial or transverse magnetic field is applied on the silicon oil based ferrofluid of high Prandtl number fluid (Pr ? 111.67), and the effect of magnetic field on the thermocapillary convection is investigated. It is shown that the location of vortex core of thermocapillary convection is mainly near the free surface of liquid bridge due to the inhibition of the axial magnetic field. A velocity stagnation region is formed inside the liquid bridge under the axial magnetic field (B = 0.3-0.5 T). The disturbance of bulk reflux and surface flow is suppressed by the increasing axial magnetic field. There is a dynamic response of free surface deformation to the axial magnetic field, and then the contact angle variation of the free surface at the hot corner is as following, ?hot, B = 0.5 T = 83.34? > ?hot, B = 0.3 T = 72.16? > > ?hot,B = 0.1 T = 54.21? > ?hot, B = 0 T = 43.33?. The results show that temperature distribution near the free surface is less and less affected by thermocapillary convection with the increasing magnetic field, and it presents a characteristic of heat-conduction. In addition, the transverse magnetic field does not realize the fundamental inhibition for thermocapillary convection, but it transfers the influence of thermocapillary convection to the free surface.


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