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Z. Naturforsch. 69a, 451 – 461
(2014)
doi:10.5560/ZNA.2014-0041
Peristaltic Motion of a non-Newtonian Nanofluid in an Asymmetric Channel
1 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
2 Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
3 College of Engineering, Peking University, Beijing, China
Received December 23, 2013 / revised April 12, 2014 / published online July 30, 2014
Reprint requests to: F. M. A.; E-mail:
abbasisarkar@gmail.com
The peristaltic transport of a Carreau–Yasuda fluid in an asymmetric channel is studied. Problem formulation is given in the presence of nanoparticles and contributions of Brownian motion and thermophoresis are taken into account. Lubrication approach is employed. The resulting nonlinear system of equations is solved numerically, and the effects of sundry parameters on the velocity, temperature, and concentration are analyzed. Heat and mass transfer rates are computed and examined. The results show that the impact of the non-Newtonian parameters on flow quantities get reversed when we move from shear thinning to shear thickening fluids. The temperature of the nanofluid in presence of Brownian motion increases, furthermore the influence of Brownian motion parameter on temperature and concentration distributions is opposite.
Key words: Nanoparticles; Carreau–Yasuda Fluid; Peristaltic Motion; Mathematical Modelling.