Nonlinear peristaltic motion of a Jeffery nanofluid with shear stress and MHD effects

  • M Kothandapani University College of Engineering, A constituent college of Anna University, Chennai Thatchur, Arni - 632 326, Tamil Nadu, India.
  • V Pushparaj Department of Mathematics, C. Abdul Hakeem College of Engineering & Technology, Melvisharam – 632 509, Tamil Nadu, India.
  • J Prakash Department of Mathematics, Arulmigu Meenakshi Amman College of Engineering, Vadamavandal – 604 410, Tamil Nadu, India
Keywords: Peristaltic transport, Jeffrey Nanofluid, Shear stress, MHD, Tapered asymmetric channel.

Abstract

A mathematical model based on Jeffrey nanofluid under the effect of magnetic field and thermal radiation parameter for the peristaltic flow is considered in a channel, which is assumed to be in the form of a tapered asymmetric walls.  The tapered asymmetry channel is produced by choosing the peristaltic wave train on the non-uniform walls to have different amplitudes and phase but with same wave speed. The analytical expressions for temperature field, nanoparticle fraction field, axial velocity, stream function, pressure gradient and shear stress are derived under the assumptions of long wavelength and low Reynolds number approximations. The salient characteristics of pumping and trapping are discussed with particular focus on the effect of geometry parameters, Hartmann number, thermal radiation parameter and rheological parameter. It has been observed that the pressure rise and axial velocity increase with increasing rheological parameter.

DOI: http://dx.doi.org/10.5755/j01.mech.23.3.14481

Author Biographies

M Kothandapani, University College of Engineering, A constituent college of Anna University, Chennai Thatchur, Arni - 632 326, Tamil Nadu, India.

Dr.Kothandapani,

Assistant Professor (Senior Grade).

V Pushparaj, Department of Mathematics, C. Abdul Hakeem College of Engineering & Technology, Melvisharam – 632 509, Tamil Nadu, India.

Department of Mathematics,

Assistant Professor.

J Prakash, Department of Mathematics, Arulmigu Meenakshi Amman College of Engineering, Vadamavandal – 604 410, Tamil Nadu, India

Department of Mathematics,

Assistant Professor,

Published
2017-06-27
Section
MECHANICS OF FLUIDS AND GASES