Stability analysis in a couple-stress fluid layer with variable viscosity heated from below: Different conducting boundaries

•The linear and nonlinear theory results coincide.•Increase in couple stress stabilizes the system.•Destabilizing effect of variable viscosity is observed. The linear stability analysis technique and non-linear stability analysis technique are applied for a couple-stress fluid layer having variable...

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Bibliographic Details
Published inChinese journal of physics (Taipei) Vol. 83; pp. 94 - 102
Main Authors Choudhary, Shalu, Devi, Reeta, Mahajan, Amit, Sunil
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2023
Subjects
Couple-stress
Free – free
Rigid – free boundaries
Rigid – rigid
Stability
Variable dependent viscosity
Couple-stress
Rigid – rigid
Free – free
Rigid – free boundaries
Stability
Variable dependent viscosity
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Summary:•The linear and nonlinear theory results coincide.•Increase in couple stress stabilizes the system.•Destabilizing effect of variable viscosity is observed. 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.
ISSN:0577-9073
DOI:10.1016/j.cjph.2023.02.007