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Thermal Radiation Effects on the Flow by an Exponentially Stretching Surface: a Series Solution

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Thermal Radiation Effects on the Flow by an Exponentially Stretching Surface: a Series Solution

Sohail Nadeema, Tasawar Hayata,b, Muhammad Yousaf Malika, and Saeed Ahmed Rajputa

aDepartment of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan

bDepartment of Mathematics, Colledge of Sciences, King Saud University, P. O. Box 2455, Riyadh 11451 Saudi Arabia

Reprint requests to S. N.; E-mail: snqau@hotmail.com

Z. Naturforsch.65a,495 – 503 (2010); received January 19, 2009 / revised July 14, 2009

This article analytically describes the thermal radiation effects on the flow and heat transfer charac- teristics. The flow in a second-grade fluid is created due to an exponentially porous stretching surface.

The series solutions of velocity and temperature are developed by a homotopy analysis method. The heat transfer results are obtained for the two cases, namely, (i) the prescribed exponential order sur- face temperature (PEST) and (ii) the prescribed exponential order heat flux (PEHF). It is noticed that the temperature profile in both cases decreases when radiation parameter is increased.

Key words:Second-Grade Fluid; Porous Stretching Surface; Series Solutions.

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