Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
Volume 162, Issue -, Pages 249-267Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.matcom.2019.01.013
Keywords
Compressible micropolar fluid; Shear flow; Numerical solution
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Funding
- University of Rijeka, Croatia [17.10.2.2.01]
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In this paper we consider the nonstationary shear flow between two parallel solid and thermoinsulated horizontal plates with the upper one moving irrotationally. The fluid is compressible, micropolar, viscous and heat-conducting, as well as in the thermodynamical sense perfect and polytropic. We assume that, given a Cartesian coordinate system x, y and z, solutions of corresponding problem are x -dependent only. Mathematical model is derived in the Lagrangian description. By using the Faedo-Galerkin method, as well as homogenization of boundary conditions, we derive an approximate system, which we use to obtain a numerical solution to the given problem. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.Y. All rights reserved.
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