Z. Naturforsch. 68a, 380 – 390
Magnetohydrodynamic Peristaltic Flow of a Pseudoplastic Fluid in a Curved Channel
1 Department of Mathematics, Comsats Institute of Information Technology, Attock 43600, Pakistan
2 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
3 Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O.Box 80257, Jeddah 21589, Saudi Arabia
Received June 23, 2012 / revised Dezember 17, 2012 / published online March 6, 2013
A mathematical model is developed to examine the effects of an induced magnetic field on the peristaltic flow in a curved channel. The non-Newtonian pseudoplastic fluid model is used to depict the combined elastic and viscous properties. The analysis has been carried out in the wave frame of reference, long wavelength and low Reynolds scheme are implemented. A series solution is obtained through perturbation analysis. Results for stream function, pressure gradient, magnetic force function, induced magnetic field, and current density are constructed. The effects of significant parameters on the flow quantities are sketched and discussed.
Key words: Curved Channel; Induced Magnetic Field.