IJPAM: Volume 105, No. 4 (2015)

COMBINED EFFECT OF HEAT AND MASS TRANSFER ON
MHD PERISTALTIC TRANSPORT OF A COUPLE STRESS
FLUID IN A INCLINED ASYMMETRIC CHANNEL
THROUGH A POROUS MEDIUM

A. Govindarajan$^1$, E.P. Siva$^2$, M. Vidhya$^3$
$^{1,2}$Department of Mathematics
SRM University
Kattankulathur, 603203, INDIA
$^3$Department of Mathematics
Sathyabama University
Sholinganallur, 600119, INDIA


Abstract. This paper describes the combined effect of heat and mass transfer on two dimensional peristaltic transport of a couple stress fluid in the presence of heat absorption in a inclined asymmetric channel. The fluid is electrically conducting through a porous medium in the presence of uniform magnetic field. Chemical reaction effect is included in the mathematical model. The systems of governing PDEs are solved analytically. The analytical solution is carried out under long wave length approximation. The solutions are obtained for the primary velocity of the fluid, pressure gradient, temperature and concentration of the fluid. The flow is found in the wave frame of reference moving with a velocity of the wave. The expression for average rise in pressure and frictional force and heat transfer coefficient are calculated by numerical integration and analyzed for various parameters by plotting the graphs and discussed in detail.

Received: August 23, 2015

AMS Subject Classification: 76S05, 76T20, 74F10, 35K41

Key Words and Phrases: couple stress fluid, peristaltic transport, heat transfer, MHD, mass transfer, inclined asymmetric channel

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DOI: 10.12732/ijpam.v105i4.9 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 4
Pages: 685 - 707


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