Document Type
Article
Publication Date
2013
Publication Source
Journal of Porous Media
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.
Inclusive pages
59-67
ISBN/ISSN
1091-028X
Document Version
Postprint
Copyright
Copyright © 2013, Begell House.
Publisher
Begell House
Volume
16
Issue
1
Peer Reviewed
yes
Keywords
non-Newtonian fluid, porous medium, nonlinear equations, regular perturbation, variable viscosity, slip condition
eCommons Citation
Khan, Ambreen Afsar; Ellahi, R.; and Usman, Muhammad, "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" (2013). Mathematics Faculty Publications. 2.
https://ecommons.udayton.edu/mth_fac_pub/2
Comments
The document available for download is the authors' accepted manuscript. Some differences may exist between this version and the published version; as such, researchers wishing to quote directly from this source are advised to consult the version of record.
Permission documentation is on file.