Marangoni convection with a curved and deforming free surface in a cavity


A finite-volume based computational model is developed to predict Marangoni convection in a cavity with a curved and deforming free surface. The two-dimensional incompressible continuity, momentum and energy equations are solved on a staggered Cartesian grid. The free surface location is computed using the volume-of-fluid transport equation. Normal and tangential boundary conditions at the free surface are modeled using a surface pressure and a continuum surface force technique respectively. Computational predictions of thermocapillary flow in a shallow cavity are shown to be in good agreement with previously published asymptotic results. The new transient model is then used to study the influence of Marangoni number and Capillary number on thermocapillary flows for different static contact angles in a cavity.

Publication Title

American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED

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