Applied Mathematics and Nonlinear Sciences (Oct 2018)

Wall Properties and Slip Consequences on Peristaltic Transport of a Casson Liquid in a Flexible Channel with Heat Transfer

  • Devaki P.,
  • Sreenadh S.,
  • Vajravelu K.,
  • Prasad K. V.,
  • Vaidya Hanumesh

DOI
https://doi.org/10.21042/AMNS.2018.1.00021
Journal volume & issue
Vol. 3, no. 1
pp. 277 – 290

Abstract

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In this paper, the peristaltic wave propagation of a Non-Newtonian Casson liquid in a non-uniform (flexible)channel with wall properties and heat transfer is analyzed. Long wavelength and low Reynolds number approximations are considered. Analytical solution for velocity, stream function and temperature in terms of various physical parameters is obtained. The impact of yield stress, elasticity, slip and non-uniformity parameters on the peristaltic flow of Casson liquidare observed through graphs and discussed. The important outcome is that an increase in rigidity, stiffness and viscous damping force of the wall results in the enhancement of the size and number of bolus formed in the flow pattern.

Keywords