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A shear flow problem for compressible viscous micropolar fluid: Derivation of the model and numerical solution

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  • Dražić, Ivan
  • Črnjarić-Žic, Nelida
  • Simčić, Loredana

Abstract

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.

Suggested Citation

  • Dražić, Ivan & Črnjarić-Žic, Nelida & Simčić, Loredana, 2019. "A shear flow problem for compressible viscous micropolar fluid: Derivation of the model and numerical solution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 249-267.
    • Handle: RePEc:eee:matcom:v:162:y:2019:i:c:p:249-267
    DOI: 10.1016/j.matcom.2019.01.013
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    References listed on IDEAS

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    1. Črnjarić-Žic, Nelida & Mujaković, Nermina, 2016. "Numerical analysis of the solutions for 1d compressible viscous micropolar fluid flow with different boundary conditions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 126(C), pages 45-62.
    2. Dražić, Ivan & Mujaković, Nermina & Črnjarić-Žic, Nelida, 2017. "Three-dimensional compressible viscous micropolar fluid with cylindrical symmetry: Derivation of the model and a numerical solution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 140(C), pages 107-124.
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