Boundary Effect on Marangoni Convection in a Variable Viscosity Fluid Layer| Science Publications

Journal of Mathematics and Statistics

M. S.M. Noorani¹  N. Z. Abidin¹  N. M. Arifin¹ 

关键词: Marangoni convection;    temperature-dependent viscosity;   

DOI  :  10.3844/jmssp.2008.1.8

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

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, B_i, 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 temperature-dependent viscosity destabilizes the fluid system but it behaves oppositely when a higher relative thermal conductivity ratio or higher depth ratio is taken.

【 授权许可】

Unknown