Thermocapillary flow with evaporation and condensation at low gravity. Part 1. Non-deforming surface

Author:

Schmidt G. R.,Chung T. J.,Nadarajah A.

Abstract

The problem of steady motion and thermal behaviour of a volatile, wetting liquid in an open cavity under low gravity is defined and examined. The domain geometrically approximates a two-phase pore of liquid on a wicking structure surface, and consists of a 1 to 102 μu wide rectangular cavity bounded by a saturated vapour and liquid reservoir on its upper and lower surfaces, respectively. Thermal non-equilibrium and convection are established by symmetrically superheating or subcooling the pore boundaries by ∼ 1 K relative to the vapour. Numerical analyses show that although thermocapillary flow competes with interfacial phase change in dictating the circulation and flow structure, it tends to reinforce the convective effects of evaporation and condensation on surface temperature and heat transport. In addition, highly wetting fluids with curved menisci are characterized by greater circulation intensities and dynamic pressure gradients than a flat surface. The magnitude of these gradients suggests that the fixed menisci shapes assumed in this study are unrealistic, and that the influence of convection on surface morphology should be considered.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference30 articles.

1. Hadid, H. & Roux, B. 1992 Buoyancy- and thermocapillary-driven flows in differentially heated cavities for low Prandtl number fluids.J. Fluid Mech. 235,1–36.

2. Schmidt, G. R. 1993 Thermocapillary flow with evaporation and condensation and its effect on liquid retention in low-g fluid acquisition devices. PhD dissertation, The University of Alabama in Huntsville.

3. Patankar, S. V. 1980 Numerical Heat Transfer and Fluid Flow. Hemisphere.

4. Potash, M. & Wayner, P. 1972 Evaporation from a two-dimensional extended meniscus.Intl J. Heat Mass Transfer 15,1851–1863.

5. Swanson, L. W. & Peterson, G. P. 1994 Evaporating extended meniscus in a V-shaped channel.AIAA J. Thermo. Heat Transfer 8,172–180.

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