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

Author

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  • Dražić, Ivan
  • Mujaković, Nermina
  • Črnjarić-Žic, Nelida

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.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:140:y:2017:i:c:p:107-124
    DOI: 10.1016/j.matcom.2017.03.006
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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.
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    Cited by:

    1. Chirilă, Adina & Marin, Marin, 2021. "Wave propagation in diffusive microstretch thermoelasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 189(C), pages 99-113.
    2. 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.

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    1. 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.

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