The paper deals with the criterion for the onset of surface tension-driven convection in the presence of temperature gradients in a two-layer system comprising a fluid saturated anisotropic porous layer over which lies a layer of fluid. The lower rigid surface is assumed to be insulated to temperature perturbations, while at the upper non-deformable free surface a general thermal condition is invoked. Both the Beavers-Joseph and the Jones conditions have been used at the interface to know their preference and prominence in the study of the problem. The resulting eigenvalue problem is solved exactly and also by regular perturbation technique when both the boundaries are insulating to temperature perturbations. It is found that the depth of the relative layers, mechanical and thermal anisotropy parameters have a profound effect on the stability of the system. Decreasing the mechanical anisotropy parameter and increasing the thermal anisotropy parameter leads to stabilization of the system. Besides, the possibility of control of Marangoni convection by suitable choice of physical parameters is discussed in detail.
|Number of pages
|International Journal of Heat and Mass Transfer
|Published - 2011 Jan 31
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanical Engineering
- Fluid Flow and Transfer Processes