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New Achievements in Continuum Mechanics and Thermodynamics pp 411–432Cite as

Cavity Flow of a Micropolar Fluid - a Parameter Study

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 108))

Abstract

This paper presents a parameter study of the flow of a micropolar fluid. The underlying equations and the choice of boundary conditions are discussed. Two flow situations are considered: Couette flow as a reference problem and the liddriven cavity problem. The governing equations are specialized for the case of twodimensional flow and discussed in dimensionless form. Several dimensionless parameters common in the theory of micropolar fluids are identified and their impact on the solutions is analyzed using the finite element method.

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Authors and Affiliations

  1. Institute of Mechanics, Technische Universität Berlin, Einsteinufer 5, 10587, Berlin, Germany

    Wilhelm Rickert & Sebastian Glane

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  1. Wilhelm Rickert
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  2. Sebastian Glane
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Correspondence to Wilhelm Rickert .

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Editors and Affiliations

  1. Institute of Mechanics, Technische Universität Berlin, Berlin, Germany

    Bilen Emek Abali

  2. Institut für Mechanik, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany

    Holm Altenbach

  3. Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli Studi di Roma “La Sapienza”, Roma, Italy

    Francesco dell'Isola

  4. Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Gdansk, Poland

    Victor A. Eremeyev

  5. Fakultät Maschinenbau, Esslingen University of Applied Sciences, Esslingen, Germany

    Andreas Öchsner

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Rickert, W., Glane, S. (2019). Cavity Flow of a Micropolar Fluid - a Parameter Study. In: Abali, B., Altenbach, H., dell'Isola, F., Eremeyev, V., Öchsner, A. (eds) New Achievements in Continuum Mechanics and Thermodynamics. Advanced Structured Materials, vol 108. Springer, Cham. https://doi.org/10.1007/978-3-030-13307-8_28

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  • DOI: https://doi.org/10.1007/978-3-030-13307-8_28

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