Three-dimensional compressible viscous micropolar fluid with cylindrical symmetry: Derivation of the model and a numerical solution

Ivan Dražić, Nermina Mujaković and Nelida Črnjarić-Žic

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 140, issue C, 107-124

Abstract: In this paper we consider the nonstationary 3D flow of a compressible viscous and heat-conducting micropolar fluid, which is in the thermodynamical sense perfect and polytropic. The fluid domain is the subset of R3 bounded with two coaxial cylinders that present solid thermoinsulated walls. We assume that the initial mass density, temperature, as well as the velocity and microrotation vectors are radially dependent only. The corresponding solution is also spatially radially dependent. We derive the mathematical model in the Lagrangian description and by using the Faedo–Galerkin method we introduce a system of approximate equations and construct its solutions. We also analyze two numerical examples.

Keywords: Micropolar fluid flow; Initial–boundary value problem; Cylindrical symmetry; Faedo–Galerkin method; Numerical approximations (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:140:y:2017:i:c:p:107-124

DOI: 10.1016/j.matcom.2017.03.006

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