, Volume 33, Issue 8, pp 1035-1048
Date: 28 Jul 2012

Slip and induced magnetic field effects on peristaltic transport of Johnson-Segalman fluid

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Abstract

The peristaltic flow of a Johnson-Segalman fluid in a planar channel is investigated in an induced magnetic field with the slip condition. The symmetric nature of the flow in a channel is utilized. The velocity slip condition in terms of shear stresses is considered. The mathematical formulation is presented, and the equations are solved under long wavelength and low Reynolds number approximations. The perturbation solutions are established for the pressure, the axial velocity, the micro-rotation component, the stream function, the magnetic-force function, the axial induced magnetic field, and the current distribution across the channel. The solution expressions for small Weissenberg numbers are derived. The flow quantities of interest are sketched and analyzed.

Project supported by the Higher Education Commission (HEC) of Pakistan (No. 074-2997-Ps4-021) and the Deanship of Scientific Research (DSR) of King Abdualaziz University of Saudi Arabia