Abstract

The effect of gravity modulation in controlling the onset of convection in a porous medium saturated with a second grade fluid of Rivlin-Ericksen type is studied. The Brinkman equation of flow through porous media is considered with effective viscosity different from fluid viscosity. Necessary conditions for the occurrence of instability due to infinitesimal perturbations is found using the method of normal modes. Following Floquet analysis, the thresholds corresponding to synchronous and subharmonic solutions and the transition between them are predicted using the Mathieu functions.

This content is only available via PDF.

Article PDF first page preview

Article PDF first page preview
You do not currently have access to this content.