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Z. Naturforsch. 69a, 425 – 432
(2014)
doi:10.5560/ZNA.2014-0038
Exact Solution for Peristaltic Transport of a Micropolar Fluid in a Channel with Convective Boundary Conditions and Heat Source/Sink
1 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
2 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
3 State Key Laboratory of Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China
Received December 11, 2013 / revised March 19, 2014 / published online July 16, 2014
Reprint requests to: H. Y.; E-mail:
qau2011@gmail.com
This paper investigates the peristaltic transport of an incompressible micropolar fluid in an asymmetric channel with heat source/sink and convective boundary conditions. Mathematical formulation is completed in a wave frame of reference. Long wavelength and low Reynolds number approach is adopted. The solutions for velocity, microrotation component, axial pressure gradient, temperature, stream function, and pressure rise over a wavelength are obtained. Velocity and temperature distributions are analyzed for different parameters of interest.
Key words: Peristalsis; Micropolar Fluid; Convective Conditions.