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

A. M. Siddiqui, A. Provost, W. H. Schwarz

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)249-262
Number of pages14
JournalRheologica Acta
Volume30
Issue number3
DOIs
StatePublished - May 1 1991

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics

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