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

doi:10.1007/s10483-012-1603-6

Abstract

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.

Key words: different tension-compression modulus, neutral axis, beam subjected to lateral force, analytical solution, Johnson-Segalman fluid, induced magnetic field, slip condition

2010 MSC Number:

O357.2

T. HAYAT;S. NOREEN;A. ALSAEDI. Slip and induced magnetic field effects on peristaltic transport of Johnson-Segalman fluid. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 1035-1048.

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