Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
Volume 140, Issue -, Pages 107-124Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.matcom.2017.03.006
Keywords
Micropolar fluid flow; Initial boundary value problem; Cylindrical symmetry; Faedo-Galerkin method; Numerical approximations
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Funding
- University of Rijeka [13.14.1.3.03]
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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 R-3 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. (C) 2017 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
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