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 AJCM  Vol.1 No.1 , March 2011
Conjugate Effects of Radiation and Joule Heating on Magnetohydrodynamic Free Convection Flow along a Sphere with Heat Generation
Abstract: The conjugate effects of radiation and joule heating on magnetohydrodynamic (MHD) free convection flow along a sphere with heat generation have been investigated in this paper. The governing equations are transformed into dimensionless non-similar equations by using set of suitable transformations and solved numerically by the finite difference method along with Newton’s linearization approximation. Attention has been focused on the evaluation of shear stress in terms of local skin friction and rate of heat transfer in terms of local Nusselt number, velocity as well as temperature profiles. Numerical results have been shown graphically for some selected values of parameters set consisting of heat generation parameter Q, radiation parameter Rd, magnetic parameter M, joule heating parameter J and the Prandtl number Pr.
Cite this paper: nullM. Ali, M. Alim and L. Andallah, "Conjugate Effects of Radiation and Joule Heating on Magnetohydrodynamic Free Convection Flow along a Sphere with Heat Generation," American Journal of Computational Mathematics, Vol. 1 No. 1, 2011, pp. 18-25. doi: 10.4236/ajcm.2011.11003.
References

[1]   R. Nazar, N. Amin, T. Grosan and I. Pop, “Free Convec-tion Boundary Layer on an Isothermal Sphere in a Mi-cropolar Fluid,” International Communications in Heat and Mass Transfer, Vol. 29, No. 3, 2002, pp. 377-386. doi:10.1016/S0735-1933(02)00327-5

[2]   M. J. Huang and C. K. Chen, “Laminar Free Convection from a Sphere with Blowing and Suction,” Journal of Heat Transfer, Vol. 109, 1987, pp. 529-532. doi:10.1115/1.3248117

[3]   M. M. Molla, M. A. Taher, M. M. K. Chowdhury and Md. A. Hossain, “Magnetohy-drodynamic Natural Convection Flow on a Sphere in Presence of Heat Generation,” Nonlinear Analysis: Mod-elling and Control, Vol. 10, No. 4, 2005, pp. 349-363.

[4]   M. Miraj, M. A. Alim and M. A. H. Ma-mun, “Effect of Radiation on Natural Convection Flow on a Sphere in Presence of Heat Generation,” International Communications in Heat and Mass Transfer, Vol. 37, No. 6, 2010, pp. 660-665. doi:10.1016/j.icheatmasstransfer.2010.01.013

[5]   M. F. El-Amin, “Combined Effect of Viscous Dissipation and Joule Heating on MHD Forced Convection over a Non-Isothermal Horizontal Cylinder Embedded in a Fluid Saturated Porous Medium,” Journal of Magnetism and Magnetic Materials, Vol. 263, No. 3, 2003, pp. 337-343. doi:10.1016/S0304-8853(03)00109-4

[6]   M. A. Hos-sain, “Viscous and Joule Heating Effects on MHD-Free Convection Flow with Variable Plate Temperature,” In-ternational Journal of Heat and Mass Transfer, Vol. 35, No. 12, 1992, pp. 3485-3487. doi:10.1016/0017-9310(92)90234-J

[7]   M. M. Alam, M. A. Alim and M. M. K. Chowdhury, “Viscous Dissipation Effects with MHD Natural Convection Flow on a Sphere in Presence of Heat Generation,” Nonlinear Analysis: Modelling and Control, Vol. 12, No. 4, 2007, pp. 447-459.

[8]   H. B. Keller, “Numerical Methods in Boundary Layer Theory,” Annual Review of Fluid Me-chanics, Vol. 10, 1978, pp. 417-433. doi:10.1146/annurev.fl.10.010178.002221

[9]   T. Cebeci and P. Bradshaw, “Physical and Computational Aspects of Convective Heat Transfer,” Springer, New York, 1984.

 
 
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