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Influence of slip condition on the peristaltic transport in an asymmetric channel with heat transfer: An exact solution
Authors:T Hayat  Q Hussain  M Umar Qureshi  N Ali  Awatif A Hendi
Institution:1. Department of Mathematics, Quaid‐I‐Azam University 45320, Islamabad 44000, Pakistan;2. Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;3. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan;4. Department of Mathematics, International Islamic University, Islamabad 44000, Pakistan;5. Department of Physics, Faculty of Science, King Saud University, Riyadh, Saudi Arabia
Abstract:The mechanism of peristaltic magnetohydrodynamic (MHD) flow based on slip and heat transfer effects is studied in an asymmetric channel. An incompressible viscous fluid fills the porous space inside the channel. Long wavelength and zero Reynolds number approximation are used in the flow modeling. Expressions of stream function, longitudinal pressure gradient, and temperature are developed. Various interesting phenomena associated with peristalsis, such as pumping and trapping, are discussed in detail. Further the effects of various pertinent parameters on temperature field and heat transfer coefficient are explained with the help of graphs and tables. It is found that pressure rise over one wavelength decreases in pumping region for large values of slip parameter. Similar behavior is observed for temperature field by increasing the slip parameter. However, the volume of trapped bolus decreases by increasing the slip parameter. Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:slip condition  heat transfer  porous space  MHD  peristalsis
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