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Heat Transfer Research
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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2014007241
pages 579-588

FREE CONVECTION FLOW OF A SECOND-GRADE FLUID WITH RAMPED WALL TEMPERATURE

Samiulhaq
Department of Mathematics, City University of Science and Information Technology, Dalazak Road, Peshawar, Pakistan; Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Malaysia
Ilyas Khan
Ton Duc Thang University
Farhad Ali
City University of Science and Information Technology, Peshawar
Sharidan Shafie
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Johor, Malaysia

RÉSUMÉ

In this paper, exact solutions for free convection flow of a second-grade fluid with ramped wall temperature are obtained using the Laplace transform technique. The effects of pertinent flow parameters on velocity and skin friction are studied with the aid of various graphs. It is found that with an increasing second-grade parameter, the fluid velocity decreases for both ramped and isothermal wall temperatures and the skin friction increases. However, the magnitude of velocity in the case of the ramped temperature is quite smaller than the isothermal temperature for increasing values of the second-grade parameter.


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