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ISSN 打印: 1064-2285
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DOI: 10.1615/HeatTransRes.2016007485
pages 327-342

EXACT SOLUTION FOR PERISTALTIC FLOW OF A COUPLE STRESS FLUID IN AN ASYMMETRIC CHANNEL UNDER CONVECTIVE CONDITIONS

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
Humaira Yasmin
Majmaah University
Ahmed Alsaedi
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

ABSTRACT

This article considers the heat transfer effects in peristaltic flow of a couple stress fluid. An incompressible fluid is considered in a channel under convective boundary conditions. This study is motivated by investigations of physiological flow through particle size effect. The long wavelength and low Reynolds number approach is adopted. Effects of various physical parameters reflecting the couple stress parameter and Brinkman and Biot numbers on the velocity profile, streamlines pattern, temperature profile, pumping action, and trapping are studied. Computational results are presented in a graphical form. It is revealed that pressure rises and axial velocity decreases with increase in the couple stress parameter. The temperature also decreases by increasing the Biot number.


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