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Stability of a cosserat fluid layer heated from below

Research paper by G. Ahmadi

Indexed on: 01 Sep '79Published on: 01 Sep '79Published in: Acta mechanica



Abstract

The stability of a layer of Cosserat fluid (fluid with couple stresses) heated from below is studied employing a linear theory as well as energy method. The principle of exchange of stability is proved to be valid and the critical Rayleigh number is obtained. It is observed that the Cosserat fluid layer heated from below is more stable as compared with the classical viscous fluid. The stability of finite amplitude disturbances is then studied via Serrin's energy method. It is observed that there is no region of subcritical instability and the nonlinear theory predicts the same critical Rayleigh number.