Stability analysis of soret-driven double-diffusive convection of Maxwell fluid in a porous medium |
| |
| Authors: | Shaowei Wang Wenchang Tan |
| |
| Institution: | a School of Civil Engineering, Shandong University, Jinan 250061, PR China
b State Key Laboratory for Turbulence and Complex System, Department of Mechanics and Aerospace Engineering, Peking University, Beijing 100871, PR China |
| |
| Abstract: | Stability analysis of double-diffusive convection for viscoelastic fluid with Soret effect in a porous medium is investigated using a modified-Maxwell-Darcy model. We use the linear stability analysis to investigate how the Soret parameter and the relaxation time of viscoelastic fluid effect the onset of convection and the selection of an unstable wavenumber. It is found that the Soret effect is to destabilize the system for oscillatory convection. The relaxation time also enhances the instability of the system. The effects of Soret coefficient and relaxation time on the heat transfer rate in a porous medium are studied using the nonlinear stability analysis, the variation of the Nusselt number with respect to the Rayleigh number is derived for stationary and oscillatory convection modes. Some previous results can be reduced as the special cases of the present paper. |
| |
| Keywords: | Maxwell fluid Double diffusive Porous media Darcy-Maxwell model Soret effect |
| 本文献已被 ScienceDirect 等数据库收录！ |
