Peristaltic flow of Johnson-Segalman fluid in asymmetric channel with convective boundary condition

doi:10.1007/s10483-014-1823-6

Abstract

Abstract:

This work is concerned with the peristaltic transport of the Johnson-Segalman fluid in an asymmetric channel with convective boundary conditions. The mathematical modeling is based upon the conservation laws of mass, linear momentum, and energy. The resulting equations are solved after long wavelength and low Reynolds number are used. The results for the axial pressure gradient, velocity, and temperature profiles are obtained for small Weissenberg number. The expressions of the pressure gra-dient, velocity, and temperature are analyzed for various embedded parameters. Pumping and trapping phenomena are also explored.

Key words: solution space, Janet number, Nayler-Stokes equation, convective condition, asymmetric channel, pumping and trapping, Johnson-Segalman fluid

2010 MSC Number:

H. YASMIN;T. HAYAT;A. ALSAEDI;H. H. ALSULAMI. Peristaltic flow of Johnson-Segalman fluid in asymmetric channel with convective boundary condition. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 697-716.

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