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Heat Transfer Research
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ISSN Print: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2013006385
pages 119-135

NATURAL CONVECTION FLOW PAST AN OSCILLATING PLATE WITH NEWTONIAN HEATING

Abid Hussanan
Shenzhen University
Muhammad Imran Anwar
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia; Department of Mathematics, Faculty of Science, University of Sargodha UOS, Sargodha, Punjab, Pakistan
Farhad Ali
City University of Science and Information Technology, Peshawar
Ilyas Khan
Ton Duc Thang University
Sharidan Shafie
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Johor, Malaysia

ABSTRACT

An exact analysis of unsteady natural convection flow of viscous fluid past an oscillating plate with Newtonian heating is presented. The mathematical model with radiation effect in the energy equation is reduced to a system of linear partial differential equations. These equations are solved exactly using the Laplace transform technique. Expressions for the velocity and temperature are obtained. They satisfy all imposed initial and boundary conditions. As a special case, these solutions can be reduced to similar solutions in the existing literature. The skin friction and Nusselt number are evaluated analytically as well as numerically in a tabular form. Numerical results for velocity and temperature are shown graphically for various parameters of interest and the physics of the problem is well explored.


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