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FINITE-ELEMENT SIMULATION OF A HEATED THIN FLUID LAYER

2004; Taylor & Francis; Volume: 45; Issue: 9 Linguagem: Inglês

10.1080/10407780490440354

1521-0634

Xiaowen Wang, Graham F. Carey,

Metallurgical Processes and Thermodynamics

Abstract This investigation deals with finite-element modeling and numerical approximation of thermocapillary effects in long-wavelength evolution of inclined heated thin liquid layers. We consider several aspects, including model development, scaling and perturbation analysis, variational formulations, finite-element approximation, and application studies. A linear stability analysis of the thermocapillary problem for the layer at small inclination angle is also developed, and its implications are explored numerically over the related parameter space. This research has been supported in part by NASA grant NCCSS-154. We would like to thank Harry Swinney for his helpful comments.