Peristaltic motion of a third-order fluid in a planar channel

A. M. Siddiqui, W. H. Schwarz

Research output: Contribution to journalArticlepeer-review

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In order to determine the characteristics of the peristaltic transport of shear thinning non-Newtonian materials, the motion of a third-order fluid in a planar channel having walls that are transversely displaced by an infinite, harmonic traveling wave of large wavelength and negligibly small Reynolds number was analyzed using a perturbation expansion in terms of a variant of the Deborah number. Within the range of validity of this analysis, we found the pumping rate of a shear-thinning fluid is less than that for a Newtonian fluid having a shear viscosity the same as the lower-limiting viscosity of the nonNewtonian material. Also, the space of variables for which trapping of a bolus of fluid occurs is reduced for the shear-thinning fluid investigated here.

Original languageEnglish (US)
Pages (from-to)47-56
Number of pages10
JournalRheologica Acta
Issue number1
StatePublished - Jan 1993

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Chemical Engineering (miscellaneous)
  • General Materials Science


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