International Journal of Fluid Mechanics Research

ISSN for PRINT: 1064-2277

For Online Access

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2006, Volume33

Issue 2

94 pages

DOI: 10.1615/InterJFluidMechRes.v33.i2

Issue price - $310.00

M. F. El-Amin
Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan, 81258, Egypt

M. A. EL-Hakiem
Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan, Egypt

Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, 2121 Euclid Ave., SH232, Cleveland, Ohio 44115, USA

A boundary layer analysis is presented to investigate the free convection over a nonisothermal two-dimensional body under the action of a transverse nonuniform magnetic field. Two simplifications are used in this work: the first one is used due to the fact that many of the industrial liquids have large Prandtl number and, therefore, the terms that are divided by Pr in the nondimensional governing equations could be neglected; the second simplification is used to treat the shear stress for power law non-Newtonian fluids τ = K(∂u/∂y)ⁿ as a shear stress model. Solutions are obtained with variations in surface temperature or with variations in heat flux. The effects of the magnetic parameter M, the body shape parameter m, and the surface thermal variation parameter ρ as well as the heat flux parameter s are examined. Velocity profiles as well as temperature distributions are shown graphically for two cases: variable wall temperature condition (VWT) and variable wall flux condition (VWF). The numerical values of the wall shear stress and the heat transfer rate are entered in tables for the two cases.

DOI: 10.1615/InterJFluidMechRes.v33.i2.30 Download article, 153-167 pages

Article price - $50.00

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