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A shear flow problem for compressible viscous micropolar fluid: derivation of the model and numerical solution

In this paper we consider the nonstationary shear flow between two parallel solid and thermoinsulated horizontal plates with the upper one moving irrotationally. The fluid is compressible, micropolar, viscous and heat- conducting, as well as is in thermodynamical sense perfect and polytropic. We assume that, given a Cartesian coordinate system $x$, $y$ and $z$, solutions of corresponding problem are $x$- dependent only. Mathematical model is derived in the Lagrangian description. By using the Faedo- Galerkin method, as well as homogenization of boundary conditions, we derive an approximate system, which we use to obtain a numerical solution to the given problem.

compressible micropolar fluid, shear flow, numerical solution

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