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1-D flow of a p-th power viscous micropolar and heat-conducting fluid

In this work we consider the nonstationary one- dimensional flow of of a p-th power viscous micropolar and heat-conducting fluid, ie the fluid with the pressure defined by p=ρ^pθ, where ρ is mass density, θ is temperature and p≥1 is the pressure exponent. The mathematical model is derived in the Lagrangian description. We form the corresponding initial-boundary problem with homogeneous boundary conditions for velocity, microrotation and heat flux, as well as with smooth enough initial conditions, whereby we assume that initial density and initial temperature are strictly positive functions. Using the Faedo-Galerkin method we introduce a system of approximate equations and construct its solutions.

micropolar fluid, numerical solution, p-power fluid, compressible fluid

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