Open AccessConvection of a micropolar fluid with stretch
Author(s) -
Uwe Walzer
Publication year - 2010
Publication title -
annals of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 60
eISSN - 2037-416X
pISSN - 1593-5213
DOI - 10.4401/ag-4803
Subject(s) - decoupling (probability) , vector field , convection , physics , partial differential equation , ordinary differential equation , mechanics , differential equation , classical mechanics , mathematics , mathematical analysis , control engineering , engineering
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
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