Peristaltic Transport of MHD Walters B Fluid Through Porous Medium with Heat Transfer

Author(s):  
K. Ramesh ◽  
M. Devakar
2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
E. Abo-Eldahab ◽  
E. Barakat ◽  
Kh. Nowar

The influences of Hall currents and heat transfer on peristaltic transport of a Newtonian fluid in a vertical asymmetric channel through a porous medium are investigated theoretically and graphically under assumptions of low Reynolds number and long wavelength. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Analytical solutions have been obtained for temperature, axial velocity, stream function, pressure gradient, and shear stresses. The trapping phenomenon is discussed. Graphical results are sketched for various embedded parameters and interpreted.


2018 ◽  
Vol 15 (4) ◽  
pp. 450-467
Author(s):  
K. Ramesh ◽  
M. Devakar

Purpose The main purpose of this paper is to study the effect of heat transfer on the peristaltic flow of a magnetohydrodynamic Walters B fluid through a porous medium in an inclined asymmetric channel. Design/methodology/approach The approximate analytical solutions of the governing partial differential equations are obtained using the regular perturbation method by taking wave number as a small parameter. The solutions for the pressure difference and friction forces are evaluated using numerical integration. Findings It is noticed that the pressure gradient and pressure difference are increasing functions of inclination angle and Grashof number. The temperature and heat transfer coefficients both increase with increase in inclination angle, Darcy number, Grashof number and Prandtl number. Increase in Hartmann number and phase difference decreases the size of trapped bolus. Originality/value The problem is original, as no work has been reported on the effect of magnetohydrodynamics on the peristaltic flow of a Walters B fluid through a porous medium in an inclined asymmetric channel with heat transfer.


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