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ESCI SJR: 0.376 SNIP: 0.466 CiteScore™: 0.83

ISSN 打印: 2151-4798
ISSN 在线: 2151-562X

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DOI: 10.1615/SpecialTopicsRevPorousMedia.v3.i2.80
pages 169-175

DEVELOPMENT OF FLOW AND HEAT TRANSFER IN THE VICINITY OF A VERTICAL PLATE EMBEDDED IN A POROUS MEDIUM WITH VISCOUS DISSIPATION EFFECTS

Mohamed F. El-Amin
Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan, 81258; King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia
Amgad Salama
Research Associate
Shuyu Sun
Department of Mathematical Sciences, Clemson University, USA; Computational Transport Phenomena Laboratory (CTPL), Division of Physical Sciences and Engineering (PSE), King Abdullah University of Science and Technology (KAUST), Saudi Arabia
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

ABSTRACT

In this paper, the effects of viscous dissipation on unsteady free convection from an isothermal vertical flat plate in a fluid-saturated porous medium are investigated. The Darcy−Brinkman model is employed to describe the flow field. A new model of viscous dissipation is used for the Darcy−Brinkman model of porous media. The simultaneous development of the momentum and thermal boundary layers is obtained by using a finite-difference method. Boundary layer and Boussinesq approximation have been incorporated. Numerical calculations are carried out for various parameters entering into the problem. Velocity and temperature profiles as well as the local friction factor and local Nusselt number are displayed graphically. It is found that as time approaches infinity, the values of the friction factor and heat transfer coefficient approach steady state.