Applied Mathematics and Mechanics >
Slip and induced magnetic field effects on peristaltic transport of Johnson-Segalman fluid
Received date: 2011-05-18
Revised date: 2011-12-28
Online published: 2012-08-10
Supported by
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
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.
T. HAYAT;S. NOREEN;A. ALSAEDI . Slip and induced magnetic field effects on peristaltic transport of Johnson-Segalman fluid[J]. Applied Mathematics and Mechanics, 2012 , 33(8) : 1035 -1048 . DOI: 10.1007/s10483-012-1603-6
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