A B C
Z. Naturforsch. 69a, 43 – 51 (2014)
doi:10.5560/ZNA.2013-0074
Hall and Ohmic Heating Effects on the Peristaltic Transport of a Carreau–Yasuda Fluid in an Asymmetric Channel
Tasawar Hayat1,3, Fahad M. Abbasi1, Ahmed Alsaedi2, and Fuad Alsaadi3
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 Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Saudi Arabia
Received May 22, 2013 / revised September 13, 2013 / published online December 18, 2013
Reprint requests to: F. M. A.; E-mail: abbasisarkar@gmail.com
The effects of Hall current and Ohmic heating are analyzed for the peristaltic flow of a Carreau–Yasuda fluid in an asymmetric channel. The mathematical model for peristalsis of the Carreau–Yasuda fluid is provided for the first time in the literature. The problem is developed in the presence of viscous dissipation. Solutions for pressure gradient, stream function, axial velocity, and temperature are established and discussed. The heat transfer rate at the wall is first computed numerically and then examined. A comparative study for viscous, Carreau, and Carreau–Yasuda fluids is also made.
Key words: Mathematical Modelling; Carreau–Yasuda Fluid; Ohmic Heating; Hall Effects.
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