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INFLUENCE OF HEAT TRANSFER IN THE SQUEEZING FLOW BETWEEN PARALLEL DISKS
Authors:T Hayat  Arshia Yousaf  S Asghar
Affiliation:1. Department of Mathematics , Quard-I-Azam University , Islamabad , Pakistan;2. Department of Mathematics, Faculty of Science , Abdulaziz University , Jeddah , Saudi Arabia;3. Department of Mathematics , Quard-I-Azam University , Islamabad , Pakistan;4. Department of Mathematics , CIIT, H-8 , Islamabad , Pakistan
Abstract:This article addresses the squeezing flow and heat transfer between parallel disks when one disk is impermeable and the other is porous. Appropriate similarity transformations are invoked to convert the partial differential equations into ordinary ones. Expressions for velocity and temperature fields have been obtained by homotopy analysis method (HAM). The effects of embedding parameters such as squeeze number (S), Hartman number (M), Prandtl number (Pr), and Eckert number (Ec) are analyzed through graphs for the velocity and temperature profiles and tables for skin friction coefficient and local Nusselt number. It is observed that the series solutions are convergent only at third-order of approximation. The obtained results for velocity are also compared with the homotopy perturbation method (Domairry and Aziz, 2009).
Keywords:Heat transfer  MHD fluid  Nonlinear analysis  Squeezing flow  Series solutions
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