Stability analysis in a couple-stress fluid layer with variable viscosity heated from below: different conducting boundaries. (English) Zbl 07843858
Summary: The linear stability analysis technique and non-linear stability analysis technique are applied for a couple-stress fluid layer having variable viscosity depending on temperature and pressure. The linear and nonlinear threshold that encapsulates the physics of the onset for convection is found to be same. Eigenvalue problems for free-free (FF), rigid-free (RF) and rigid-rigid (RR) conducting boundaries are solved with the help of a single-term Galerkin technique. The couple stress is seen to have a stabilizing impact while the viscosity variation has destabilizing impact on the system.
MSC:
| 76Exx | Hydrodynamic stability |
| 76Rxx | Diffusion and convection |
| 35Qxx | Partial differential equations of mathematical physics and other areas of application |
Keywords:
couple-stress; variable dependent viscosity; rigid-rigid; free-free; rigid-free boundaries; stabilityReferences:
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