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Peristaltic Flow of a Jeffrey Fluid in Contact with a Newtonian Fluid in a Vertical Channel

  • R. Sivaiah
  • R. Hemadri ReddyEmail author
  • R. Saravana
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The flow of a Jeffrey fluid is extended to include a Newtonian fluid through a vertical symmetric channel with peristalsis under the assumptions of long wavelength and small Reynolds number. The model is applicable to study the behavior in physiological systems. The velocity field, stream function, interface shape, pressure rise (drop), and frictional force at the wall over a cycle of wavelength are obtained, and the results are shown graphically. It is observed that the variation of interface shape yields the thinner peripheral region in the dilated region with increasing Jeffrey parameter λ1 and thicker peripheral region in the dilated region for low viscosity ratio.

Keywords

Jeffrey fluid Newtonian fluid interface vertical channel 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematics, School of Advanced SciencesVIT UniversityVelloreIndia
  2. 2.Department of MathematicsMadanapalle Institute of Technology and ScienceMadanapalleIndia

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