Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel

M. Kothandapani, V. Pushparaj, J. Prakash
2018 Journal of King Saud University: Engineering Sciences  
The problem of peristaltic transport of an incompressible non-Newtonian fluid in a tapered asymmetric channel is debated under long-wavelength and low-Reynolds number assumptions. The fluid is considered to be fourth order and electrically conducting by a transverse magnetic field. The tapered asymmetry in the flow is induced by taking peristaltic wave imposed on the non uniform boundary walls to possess different amplitudes and phase. Series solutions for stream function, axial velocity and
more » ... ial velocity and pressure gradient are given using regular perturbation technique, when Deborah number is small. Numerical computations have been performed for the pressure rise per wavelength. Influences of different physical parameters entering into the problem have also been discussed in detail. Ó 2016 Production and hosting by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Production and hosting by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Please cite this article in press as: Kothandapani, M. et al., Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel. Journal of King Saud University -Engineering Sciences (2016), http://dx.
doi:10.1016/j.jksues.2015.12.009 fatcat:twaullvitbc5dgpk4vmcac5d3u