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Mixed convection of power-law fluids along a vertical wedge with convective boundary condition in a porous medium

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Abstract

The mixed convection of power-law fluids along a wedge in a porous medium is investigated numerically using an implicit finite difference method. Robin boundary condition is applied at the wedge surface. To explore the effects of mixed convection, both forced and free convection dominated regimes are considered separately. Non-similarity solutions are obtained for the variable heat transfer coefficient. Local dimensionless skin friction and Nusselt number are presented in tabular and graphical forms for the selected values of wedge and convective parameters. The wedge angle geometry parameter r m, power index of pseudoplastic fluids n and mixed convection parameter ξ range from 0 to 1 in both regimes, whereas different values of convective parameter h c are considered for investigating the behavior of skin friction and heat transfer rates.

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Correspondence to Waqar A. Khan.

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This paper was recommended for publication in revised form by Associate Editor Jun Sang Park

Waqar Ahmad Khan is a Professor of Mechanical Engineering at the National University of Sciences and Technology, Pakistan. Dr. Khan received a B.E. in Mechanical Engineering from NED University of Engineering and Technology, Pakistan in 1982, M. A. in Applied Mathematics from Karachi university in 1988, M.E. in Mechanical Engineering from the Stevens Institute of Technology, New Jersey, USA. in 1996 and Ph.D. in Mechanical Engineering from the University of Waterloo in 2004. Dr. Khan has developed several unique analytical models for the fluid flow and heat transfer across single cylinders (circular/elliptical), tube banks and pin-fin heat sinks to Newtonian and Non-Newtonian fluids. Dr. Khan has more than 45 publications in refereed journals and international conferences.

Rama Gorla is Fenn Distinguished Research Professor in the Department of Mechanical Engineering at Cleveland State University. He received the Ph.D. in Mechanical Engineering from the University of Toledo in 1972. His primary research areas are combustion, heat transfer and fluid dynamics. He has been recently involved in the testing and development of a three-dimensional Navier Stokes Computational Code for Wright Patterson Air Force Base. He worked as a turbomachinery design engineer at Teledyne Continental Motors Turbine Engines (TCM-TE) in Toledo, Ohio and as a design engineer of the aerothermodynamics of rotating machinery at Chrysler Corporation in Highland Park, Michigan. Dr. Gorla has published over 400 technical papers in refereed journals and contributed several book chapters in Encyclopedia of Fluid Mechanics.

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Khan, W.A., Gorla, R.S.R. Mixed convection of power-law fluids along a vertical wedge with convective boundary condition in a porous medium. J Mech Sci Technol 24, 1919–1925 (2010). https://doi.org/10.1007/s12206-010-0624-9

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  • DOI: https://doi.org/10.1007/s12206-010-0624-9

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