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Asymptotic Behavior of Micropolar Fluid Flow Through a Curved Pipe

Acta Applicandae Mathematicae volume 116, Article number: 1 (2011) Cite this article

Abstract

We study the stationary motion of a micropolar fluid in a thin (or long) curved pipe via rigorous asymptotic analysis. An asymptotic solution is found, showing explicitly the effects of pipe’s distortion and microstructure on the effective behavior of the flow. We justify the obtained model by proving the corresponding error estimate.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička 30, 10000, Zagreb, Croatia

    Igor Pažanin

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  1. Igor Pažanin
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Correspondence to Igor Pažanin.

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Pažanin, I. Asymptotic Behavior of Micropolar Fluid Flow Through a Curved Pipe. Acta Appl Math 116, 1 (2011). https://doi.org/10.1007/s10440-011-9625-7

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  • DOI: https://doi.org/10.1007/s10440-011-9625-7

Keywords

  • Micropolar fluid
  • Curved pipe
  • Curvilinear coordinates
  • Asymptotic expansion