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Non-homogeneous boundary value problem for one-dimensional micropolar fluid model with rapidly variable initial conditions

We consider nonstationary 1-D flow of a micropolar viscous compressible fluid, which is in a thermodynamic sense perfect and polytropic. Assuming that the velocity and microrotation satisfy the non-homogeneous boundary conditions and that the initial data for the specific volume, velocity, microrotation velocity and temperature are rapidly variable functions, we find out the homogenized model of the considered flow. This result is obtained by the method of two-scale asymptotic expansion.

micropolar fluid; homogenization; strong solution

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