https://doi.org/10.1140/epjp/i2014-14256-2
Regular Article
Blood flow study of Williamson fluid through stenosed arteries with permeable walls
1
DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan
2
Department of Mathematics and Statistics, FBAS, IIU, 44000, Islamabad, Pakistan
3
Department of Mechanical Engineering, University of California, Bourns Hall A 373, 92521, Riverside, CA, USA
4
Department of Mathematics, Quaid-i-Azam University 45320, 44000, Islamabad, Pakistan
* e-mail: sriiui@yahoo.com
Received:
27
June
2014
Revised:
22
October
2014
Accepted:
30
October
2014
Published online:
27
November
2014
The present work deals with the theoretical study of the unsteady blood flow of a Williamson fluid through composite stenosed arteries with permeable walls. The highly non-linear momentum equations of the Williamson fluid model are simplified by considering the mild stenosis case and the perturbation solutions are evaluated. The expressions for velocity, flow impedance, wall shear stress and shearing stress at the stenosis throat are computed and discussed through graphs for different physical parameters of interest.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014
