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Peristaltic pumping of a second-order fluid in a planar channel

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Abstract

The peristaltic motion of a non-Newtonian fluid represented by the constitutive equation for a second-order fluid was studied for the case of a planar channel with harmonically undulating extensible walls. A perturbation series for the parameter δ (δ ≡ half-width of channel/wave length) obtained explicit terms of 0(δ2), 0(δ2Re2) and 0(λ1Reδ2) respectively representing curvature, inertia and the non-Newtonian character of the fluid. Numerical computations were performed and compared to the perturbation analysis in order to determine the range of validity of the terms.

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Author notes

  1. A. M. Siddiqui

    Present address: Department of Mathematics, The Pennsylvania State University, 17403, York Campus, York PA, USA

Authors and Affiliations

  1. Department of Chemical Engineering, The Johns Hopkins University, Baltimore, Maryland, USA

    A. Provost & W. H. Schwarz

Authors
  1. A. M. Siddiqui
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  2. A. Provost
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  3. W. H. Schwarz
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Siddiqui, A.M., Provost, A. & Schwarz, W.H. Peristaltic pumping of a second-order fluid in a planar channel. Rheol Acta 30, 249–262 (1991). https://doi.org/10.1007/BF00366638

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  • DOI: https://doi.org/10.1007/BF00366638

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