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Influence of Heat Transfer and Magnetic Field on a Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel with Partial Slip

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Influence of Heat Transfer and Magnetic Field on a Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel with Partial Slip

Sohail Nadeem and Safia Akram

Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan Reprint requests to S. N.; Fax: +92 92512275341; E-mail: snqau@hotmail.com

Z. Naturforsch.65a,483 – 494 (2010); received March 3, 2009 / revised September 15, 2009 In the present paper, we have studied the influence of heat transfer and magnetic field on a peri- staltic transport of a Jeffrey fluid in an asymmetric channel with partial slip. The complicated Jeffrey fluid equations are simplified using the long wave length and low Reynolds number assumptions.

In the wave frame of reference, an exact and closed form of Adomian solution is presented. The expressions for pressure drop, pressure rise, stream function, and temperature field have been calcu- lated. The behaviour of different physical parameters has been discussed graphically. The pumping and trapping phenomena of various wave forms (sinusoidal, multisinusoidal, square, triangular, and trapezoidal) are also studied.

Key words:Exact Solution; Adomian Solution; Partial Slip; Peristaltic Flow; Asymmetric Channel;

Heat Transfer Analysis.

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