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Fluid flow through a helical pipe

Zeitschrift für angewandte Mathematik und Physik volume 58, pages 81–99 (2007)Cite this article

Abstract.

In this paper we study the flow of incompressible Newtonian fluid through a helical pipe with prescribed pressures at its ends. Pipe’s thickness and the helix step are considered as the small parameter ɛ. By rigorous asymptotic analysis, as ɛ→ 0 , the effective behaviour of the flow is found. The error estimate for the approximation is proved.

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Authors and Affiliations

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

    Eduard Marušić-Paloka & Igor Pažanin

Authors
  1. Eduard Marušić-Paloka
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  2. Igor Pažanin
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Correspondence to Eduard Marušić-Paloka.

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Marušić-Paloka, E., Pažanin, I. Fluid flow through a helical pipe. Z. angew. Math. Phys. 58, 81–99 (2007). https://doi.org/10.1007/s00033-006-0073-6

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  • DOI: https://doi.org/10.1007/s00033-006-0073-6

Mathematics Subject Classification (2000).

  • 35B40
  • 35Q30
  • 76D05

Keywords.

  • Navier–Stokes equations
  • helical pipe
  • asymptotic analysis
  • curvilinear coordinates