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

A. M. Siddiqui, W. H. Schwarz

Research output: Contribution to journalArticlepeer-review

65 Scopus citations

Abstract

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
Volume32
Issue number1
DOIs
StatePublished - Jan 1 1993

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Peristaltic motion of a third-order fluid in a planar channel'. Together they form a unique fingerprint.

Cite this