Boundary Effect on Marangoni Convection in a Variable Viscosity Fluid Layer

Abstract

Abstract:The onset of Marangoni convection in a horizontal fluid layer with a free surface overlying a solid layer heated from below is studied. Problem is focused on the effect of the solid layer depth or its conductivity. The viscosity group, R v , Biot number, Bi, depth ratio, d r and conductivity ratio, k r , are significant on determining the critical Marangoni number M c with the corresponding critical wavenumber α c . The characteristics problem is solved numerically. Results show that the temperaturedependent viscosity destabilizes the fluid system but it behaves oppositely when a higher relative thermal conductivity ratio or higher depth ratio is taken.

Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity

“…Cloot and Lebon [7] studied the steady Marangoni convection with undeformable surface and in microgravity. Abidin et al [2] and Arifin and Abidin [3]- [4] studied the temperature-dependent viscosity effect together with others effects such as the feedback control, deformable surface and boundary effect in a fluid layer. White [23] did an overall study where he studied both theoretical and experimental in a Benard convection meanwhile Manga et al [13] compared the temperature effect experimentally with boundary layer models.…”