engleski

A shear flow problem for compressible viscous and heat conducting micropolar fluid

We consider the non-stationary 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. In this work we present the existence and uniqueness results for corresponding problem with non-homogeneous boundary data for velocity and homogeneous boundary data for microrotation and heat flux, under the additional assumption that the initial density and initial temperature are strictly positive.

compressible micropolar fluid ; shear flow

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