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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2012005716
pages 687-702

SECOND-GRADE FLUID FLOW WITH POWER-LAW HEAT FLUX AND A HEAT SOURCE

Tasawar Hayat
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
Sabir A. Shehzad
Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan
MUHAMMAD QASIM
COMSATS Institute of Information Technoogy,Islamabad-Pakistan
Fuad Eid Salem Alsaadi
Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
Ahmed Alsaedi
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box. 80257, Jeddah 21589, Saudi Arabia

ABSTRACT

The aim of the present paper is to discuss the flow and heat transfer in a second-grade fluid filling a semi-infinite porous medium. The flow is induced by a permeable stretched surface in the presence of a heat source. The surface is subjected to a power-law heat flux. The governing problem is first modeled and then solved by employing the homotopy analysis method (HAM). The influence of various parameters of interest have been examined by plotting graphs. Numerical values of the local Nusselt number are also computed.


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