engleski

Local Solvability for Micropolar Real Gas Flow Model

We analyze the micropolar, viscous, polytropic, and heat-conducting real gas, whereby we assume the generalized form of pressure function in the sense that pressure is the affine function of temperature and power function of mass density. Using the stated thermodynamical and constitutive assumptions, we derive a onedimensional model based on balance laws. Using Faedo-Galerkin method we construct a sequence of approximate solutions to our problem and prove that the generalized solution exists locally in time. We also solve the problem numerically using the obtained approximate solutions.

micropolar real gas ; generalized solution ; local existence ; numerical solution

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