Numerical Study on Steady Magnetohydrodynamics (MHD) Flow and Heat Transfer in a Heated Rectangular Electrically Insulated Duct under the Action of Strong Oblique Transverse Magnetic Field

Abstract

Steady laminar magnetohydrodynamics flow and heat transfer of an electrically conducting fluid in a rectangular duct in the presence of oblique transverse magnetic field is considered. The walls of the duct are electrically insulated and kept at constant temperature(T_w). The fluid is kept in motion by a constant pressure gradient and the viscous and Joule dissipations are considered in the energy equation. The dimensionless coupled partial differential equations are solved numerically employing finite difference method for velocity, induced magnetic field and temperature distribution. The computed results for velocity, induced magnetic field and temperature are visualized in terms of graphics for different values of oblique angle(??), Hartmaan number(M), Prandtl number(Pr) and the aspect ratio(A), the ratio of the length to the breadth.

References

• Hartmaan J. , Lazarus F. 1937. Experimental investigations on the flow of mercury in a homogeneous magnetic field, K. Dan. Vidensk. Selsk. Mat. Fys. Meed. Vol. 15, pp. 1-45.
• Umavathi J. C. , Chamka A. J. 2013 Steady natural convection flow in a vertical rectangular duct with isothermal wall boundary conditions, International Journal of Energy and Technology, 5(20), pp. 1-10.
• Umavathi J. C. , Liu I. C. , Kumar J. P. , Pop I. 2011. Fully developed magneto convection flow in a vertical rectangular duct, Heat and Mass Transfer: 47(1). , pp. 1-11.
• Garner R. A. , Lykouidis P. S. 1971. Magneto-Fluid-Mechanics Pipe Flow in a Transverse Magnetic Field Part Two. Heat Transfer. J. Fluid Mech. , Vol. 48 Part 1, pp. 129-141.
• Morley N. B. , Abdou M. A. 1997. Study of fully developed, liquid-metal, open-channel flow in a nearly coplanar magnetic field, Fusion Technology, Vol. 31, pp. 135-153.
• Al-Khawaja M. J. , Gardner R. A. , Agarwal R. 1994. Numercal study of Magneto-Fluid-Mechanics forced convection pipe flow. Engineering Journal of Qatar University, Vol. 7, pp. 115-134.
• Al-Khawaja M. J. , Mohammed J. , Selmi, Mohamed. 2006. Highly Accurate Solution of a Laminar Square Duct in a Transverse magnetic Field With Heat Transfer Using Spectral Method. Journal of Heat Transfer, Vol. 128, pp. 413-417.
• Ibrahim C. 2011. Solution of magnetohydrodynamic flow in a rectangular duct by Chebyshev collocation Method, International Journal for Numerical Method in Fluids, Vol. 66, pp. 1325-1340.
• Hosseinzadeha H. , Dehghana M. , D. Mirzaeib D. 2012. The boundary elements method for magnetohydrodynamics(MHD) channel flows at high Hartmaan numbers, AMS classification: 65N38.
• D. Sarma, G. C. Hazarika and P. N. Deka, 2013. Numerical study of liquid metal MHD flow through a square duct under the action of strong transverse magnetic field, International Journal Computer Applications(0975-8887),Vol. -71,No. 8.
• Jain M. K. , Iyenger S. R. K. , Jain R. K. 1994. Computational Method for Partial Differential Equations, Wiley Eastern Limited.
• Sutton G. W. , Sherman A. 1965. Engineering Magnetohydrodynamics, Dover Publication, Inc. Mineola, New York.
• Cramer K. R. , Pai Shih-I. 1973. Magnetofluid Dynamics for Engineers and Applied Physicists, Scripta Publishing Company, Washington, D. C.
• Muller U. , Buhler L. 2001. Magnetohydrodynamics in Channels and containers, Springer.
• Leite E. P. 2010. Matlab-Modelling, Programming and Simulations, Sciyo.
• Mathews J. H. , Fink K. D. 2009. Numerical Methods using Matlab, PHI Learning Private Limited.

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