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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v28.i4.20
21 pages

Hydromagnetic Flow and Heat Transfer over a Non-Isothermal Power-Law Stretched Surface with Heat Generation

Ali J. Chamkha
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Kingdom of Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, United Arab Emirates, 10021


General boundary-layer equations governing steady, laminar, hydromag-netic flow and heat transfer over a non-isothermal permeable surface stretching with a power-law velocity with heat generation and suction/injection effects and in the presence of a non-uniform transverse magnetic field are developed. A similarity transformation is used to transform the governing partial differential equations into ordinary differential equations. Linearized flow solutions for the case of large magnetic numbers are derived. The dimension-less similar equations are then solved numerically by using a standard fully implicit, iterative, tri-diagonal finite-difference method. Favorable agreement between the finite-difference and the linearized flow solutions are obtained. In addition, comparisons with previously published work on various aspects of the problem are performed and found to be in excellent agreement. A parametric study of all the physical parameters involved in the problem is conducted. A representative set of numerical results is illustrated graphically and discussed.