STUDY OF THERMOCAPILLARY EFFECTS IN TWO FLUID SYSTEMS USING A SINGLE PHASE MODEL | ||
| The International Conference on Applied Mechanics and Mechanical Engineering | ||
| Article 20, Volume 13, 13th International Conference on Applied Mechanics and Mechanical Engineering., May 2008, Pages 67-91 PDF (471.41 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/amme.2008.39003 | ||
| Authors | ||
| SAKR I. M.1; BALABEL A.2; HEGAB A. M.3; SELIM S. M.4 | ||
| 1Lecturer, Dpt. of Mech. Power Eng., Faculty of Eng., Menoufiya Uni., Shebin El- Kom-Egypt. | ||
| 2Lecturer, Dpt. of Mech. Power Eng., Faculty of Eng., Menoufiya Uni. Shebin El-kom-Egypt. | ||
| 3Assoc. Prof., Dpt. of Mech. Power Eng., Faculty of Eng., Menoufiya Uni., Shebin El- kom-Egypt. | ||
| 4Prof., Dpt. of Mech. Power Eng., Faculty of Eng., Menoufiya Uni., Shebin El-Kom- Egypt. | ||
| Abstract | ||
| ABSTRACT Thermocapillary flows within a differentially heated rectangular cavity containing two immiscible liquid layers are of considerable technological importance in materials processing applications particularly under microgravity conditions where the influence of buoyancy-driven convection is minimized. In the present study, for the first time, we account the affect of normal and tangential forces that control the track of the moving interface by using level set method (LSM). A 2-D numerical procedure for two immiscible fluid systems on the basis of a single phase model and the level set formulation is developed. The time dependent Navier-Stokes and energy equations are solved by means of the control volume approach on a staggered rectangular grid system. The numerical model interprets the tangential and the normal stresses by a single-phase model using a heavy side function. The topological change of the interface between the two immiscible flows is described by the level set method. According to our background this is the first study of such cases using the single phase model and the control volume formulation. Two cases have been studied: the first case contains a system with only one liquid interface (melt/encapsulant) between the two immiscible fluids. The second one has a system with encapsulant free surface opened to air (and so, subjected to a second thermocapillary forces). Both the liquid-liquid interface and the free surface are assumed to be initially flat, which is a valid assumption according to earlier theoretical and experimental results. In later cases, the liquid-liquid interface is allowed to deform. The numerical results are compared with the available analytical models and experimental results. The comparisons showed an acceptable agreement between the present predicted results and the available data shown in the available references. | ||
| Keywords | ||
| Thermocapillary flow; Marangoni flow; two fluid systems; Level set method | ||
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