ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

# 多孔介质期刊

DOI: 10.1615/JPorMedia.v16.i1.60
pages 59-67

## THE EFFECTS OF VARIABLE VISCOSITY ON THE PERISTALTIC FLOW OF NON-NEWTONIAN FLUID THROUGH A POROUS MEDIUM IN AN INCLINED CHANNEL WITH SLIP BOUNDARY CONDITIONS

Ambreen Afsar Khan
Department of Mathematics & Statistics, FBAS, IIU, Islamabad, 44000, Pakistan
Rahmat Ellahi
Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia; Department of Mathematics & Statistics, Faculty of Applied Sciences, IIUI, Pakistan
University of Dayton

### ABSTRACT

The present paper investigates the peristaltic motion of an incompressible non-Newtonian fluid with variable viscosity through a porous medium in an inclined symmetric channel under the effect of the slip condition. A long wavelength approximation is used in mathematical modeling. The system of the governing nonlinear partial differential equation has been solved by using the regular perturbation method and the analytical solutions for velocity and pressure rise have been obtained in the form of stream function. In the obtained solution expressions, the long wavelength and low Reynolds number assumptions are utilized. The salient features of pumping and trapping phenomena are discussed explicitly. The flow is investigated in a wave frame of reference moving with velocity of the wave. The features of the flow characteristics are analyzed by plotting the graphs of various values of the physical parameters in detail.

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