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Flows in convergent channel: comparison of numerical results of different mathematical models

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Abstract

This study deals with numerical solution of 2D unsteady flow of compressible and incompressible viscous fluid in convergent channel for low inlet airflow velocity. Three mathematical models based on system of Navier-Stokes equations for laminar flow are presented and numerical results of the models in the channel are compared. The unsteadiness of the flow is caused by a prescribed periodic motion of a part of the channel wall with large amplitudes, nearly closing the channel during oscillations. The numerical solution is implemented using the finite volume method and the predictor-corrector MacCormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. The unsteady grid of quadrilateral cells is considered in the form of conservation laws using Arbitrary Lagrangian-Eulerian method. The numerical results, acquired from a developed program, are presented for inlet velocity \(\hat{u}_{\infty }=4.12\) ms\(^{-1}\) and Reynolds number Re\(_{\infty } = 4 \times 10^3\) and the wall motion frequency 100 Hz.

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Acknowledgments

This contribution was partially supported by Research Plans MSM 6840770010, GAČR P101/11/0207 and 201/08/0012.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Department of Technical Mathematics, Czech Technical University in Prague, Karlovo nám. 13, 121 35 , Prague 2, Czech Republic

    Petra Pořízková

  2. Institute of Thermomechanics AS CR, Dolejškova 5, Prague 8, Czech Republic

    Karel Kozel & Jaromír Horáček

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  1. Petra Pořízková
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  2. Karel Kozel
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  3. Jaromír Horáček
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Correspondence to Petra Pořízková.

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Pořízková, P., Kozel, K. & Horáček, J. Flows in convergent channel: comparison of numerical results of different mathematical models. Computing 95 (Suppl 1), 573–585 (2013). https://doi.org/10.1007/s00607-012-0269-x

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  • DOI: https://doi.org/10.1007/s00607-012-0269-x

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