Peristaltic flow of a second-order fluid in tubes

Abdul M. Siddiqui, W. H. Schwarz

Research output: Contribution to journalArticle

145 Citations (Scopus)

Abstract

We have analyzed the mechanics of peristaltic pumping of a non-Newtonian fluid through an axisymmetric conduit. The material was represented by the constitutive equation for a second-order fluid. A perturbation series (to second order) in dimensionless wavenumber of an infinite harmonic traveling wave was used to obtain explicit forms for the velocity field and a relation between the flow rate and the pressure gradient, in terms of the Reynolds number, the dimensionless non-Newtonian parameters, and the occlusion. Results were compared with other studies, in both Newtonian and non-Newtonian cases. Also, we have shown that the flow of a Newtonian fluid through a rigid, axisymmetric tube with an axial, sinusoidal variation of radius is a special case of this analysis.

Original languageEnglish (US)
Pages (from-to)257-284
Number of pages28
JournalJournal of Non-Newtonian Fluid Mechanics
Volume53
Issue numberC
DOIs
StatePublished - Jan 1 1994

Fingerprint

Second-order Fluid
Peristaltic Flow
Dimensionless
Tube
tubes
Fluids
Newtonian fluids
occlusion
fluids
Non-Newtonian Fluid
Newtonian Fluid
constitutive equations
Pressure Gradient
Constitutive Equation
pressure gradients
Occlusion
traveling waves
Traveling Wave
Flow Rate
Velocity Field

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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Peristaltic flow of a second-order fluid in tubes. / Siddiqui, Abdul M.; Schwarz, W. H.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 53, No. C, 01.01.1994, p. 257-284.

Research output: Contribution to journalArticle

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