On mechanism of peristaltic flows for power-law fluids |
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| Affiliation: | 1. Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan;2. School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan;3. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;4. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. Department of Mathematics and Statistics, FBAS IIUI, Islamabad, Pakistan;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, China;3. Department of Mathematical Sciences, North West University, Mafikeng Campus, Mmabatho, South Africa |
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| Abstract: | This paper presents a mathematical model for flow induced by peristaltic waves through a deformable tube. An incompressible power-law fluid is considered. The two dimensional model is formulated based upon the fundamental equation of mass conservation and momentum. Exact analytical solutions have been derived for the stream function, axial velocity and pressure gradient which is the main goal of this work. Moreover, pressure rise per wavelength has been evaluated numerically. The present analysis has been performed under long wavelength and low Reynolds number assumptions. The effects of various physical parameters are also discussed through graphs. |
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