Effect of wall properties on the magnetohydrodynamic peristaltic flow of a Maxwell fluid with heat transfer and porous medium

2009 ◽  
pp. NA-NA ◽  
Author(s):  
T. Hayat ◽  
S. Hina ◽  
N. Ali
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Maxwell Fluid ◽  
Peristaltic Flow ◽  
Wall Properties

scholarly journals MHD Peristaltic Flow of Fractional Jeffrey Model through Porous Medium

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Xiaoyi Guo ◽  
Jianwei Zhou ◽  
Huantian Xie ◽  
Ziwu Jiang
Keyword(s):  
Porous Medium ◽  
Pressure Rise ◽  
Maxwell Fluid ◽  
Peristaltic Flow ◽  
Constitutive Relationship ◽  
Second Grade ◽  
Jeffrey Fluid ◽  
Viscoelastic Parameters ◽  
Special Cases ◽  
Generalized Second Grade Fluid

The magnetohydrodynamic (MHD) peristaltic flow of the fractional Jeffrey fluid through porous medium in a nonuniform channel is presented. The fractional calculus is considered in Darcy’s law and the constitutive relationship which included the relaxation and retardation behavior. Under the assumptions of long wavelength and low Reynolds number, the analysis solutions of velocity distribution, pressure gradient, and pressure rise are investigated. The effects of fractional viscoelastic parameters of the generalized Jeffrey fluid on the peristaltic flow and the influence of magnetic field, porous medium, and geometric parameter of the nonuniform channel are presented through graphical illustration. The results of the analogous flow for the generalized second grade fluid, the fractional Maxwell fluid, are also deduced as special cases. The comparison among them is presented graphically.

scholarly journals Transport of MHD Couple Stress Fluid Through Peristalsis in a Porous Medium Under the Influence of Heat Transfer and Slip Effects

2017 ◽  
Vol 22 (2) ◽  
pp. 403-414 ◽  
Author(s):  
G.C. Sankad ◽  
P.S. Nagathan
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Couple Stress ◽  
Hartmann Number ◽  
Peristaltic Flow ◽  
Couple Stress Fluid ◽  
Brinkman Number ◽  
Slip Effects ◽  
Adaptability Parameters ◽  
The Impact

AbstractAn attempt has been made to examine the effects of magnetohydrodynamic couple stress fluid in peristaltic flow with porous medium under the impact of slip, heat transfer and wall properties. The expressions are obtained for temperature, coefficient of heat transfer and velocity. Influences of different parameters, the Hartmann number, Brinkman number and adaptability parameters on the temperature and warmth trade coefficient are discussed through outlines.

Influence of magnetohydrodynamics on peristaltic flow of a Walters B fluid in an inclined asymmetric channel with heat transfer

2018 ◽  
Vol 15 (4) ◽  
pp. 450-467
Author(s):  
K. Ramesh ◽  
M. Devakar
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Inclination Angle ◽  
Pressure Difference ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Grashof Number ◽  
Content Type ◽  
Inclined Asymmetric Channel ◽  
Walters B Fluid

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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