Convection of a micropolar fluid with stretch

U. Walzer


As a model for the Bénard convection in the asthenosphere
the problem of the hydrodynamic stability of an infinite horizontal
layer is calculated. The layer consists of a micropolar fluid with streich.
The field equations for the velocity vector, microrotation vector, microstretch,
microinertia, density, temperature, and pressure form a system
of eleven partial differential equations for the determination of eleven unknown
scalar functions. We succeed in decoupling the system and reducing
the problem to an ordinary differential equation. The analytical solution
can be given for the special case of a micropolar Boussinesq fluid.

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Published by INGV, Istituto Nazionale di Geofisica e Vulcanologia - ISSN: 2037-416X