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A Parametric Study of the Effect of Wall-Shape on Laminar Flow in Corrugated Pipes

[+] Author Affiliations
Patricio I. Rosen Esquivel, Jan H. M. ten Thije Boonkkamp, Robert M. M. Mattheij

Eindhoven University of Technology, Eindhoven, The Netherlands

Jacques A. M. Dam

Imtech SMS, The Hague, The Netherlands

Paper No. AJK2011-03044, pp. 1389-1398; 10 pages
doi:10.1115/AJK2011-03044
From:
  • ASME-JSME-KSME 2011 Joint Fluids Engineering Conference
  • ASME-JSME-KSME 2011 Joint Fluids Engineering Conference: Volume 1, Symposia – Parts A, B, C, and D
  • Hamamatsu, Japan, July 24–29, 2011
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 978-0-7918-4440-3
  • Copyright © 2011 by ASME

abstract

In this paper we study the effect of wall-shape on laminar flow in corrugated pipes. The main objectives of this paper are to characterize how the flow rate varies with wall-shape, and to identify which shapes enhance the flow rate. We conduct our study by numerically solving the Navier-Stokes equations for a periodic section of the pipe. The numerical model is validated with experimental data on the pressure drop and friction factor. The effect of wall-shape is studied by considering a family of periodic pipes, in which the wall-shape is characterized by the amplitude, and the ratio between the lengths of expansion and contraction of a periodic section. We study the effect that varying these parameters has on the flow. We show that for small Reynolds numbers, a symmetric shape yields a higher flow rate than an asymmetric shape. For large Reynolds numbers, a configuration with a large expansion region, followed by a short contraction region, performs better. We show that when the amplitude is fixed, there exists an optimal ratio of expansion/contraction which maximizes the flow rate. The flow rate can be increased by 8% , for a geometry with small period; in the case of a geometry with large period, the flow rate increases by 35% , for large Reynolds number, and even 120% for small Reynolds numbers.

Copyright © 2011 by ASME
Topics: Laminar flow , Pipes , Shapes

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