MAGNETO HYDRODYNAMIC NATURAL CONVECTION FLOW ON A VERTICAL CYLINDER WITH A PRESENCE OF HEAT GENERATION AND RADIATION
Main Article Content
Abstract
The present work investigates the effect of magneto – hydrodynamic (MHD) laminar natural convection flow on a vertical cylinder in presence of heat generation and radiation. The governing equations which used are Continuity, Momentum and Energy equations. These equations are transformed to dimensionless equations using Vorticity-Stream Function method and the resulting nonlinear system
of partial differential equations are then solved numerically using finite difference approximation. A thermal boundary condition of a constant wall temperature is considered. A computer program (Fortran 90) was built to calculate the rate of heat transfer in terms of local Nusselt number, total mean Nusselt number, velocity distribution as well as temperature distribution for a selection of parameters sets
consisting of dimensionless heat generation parameter (0.0 ≤ Q ≤ 2.0), conduction – radiation parameter (0.0 ≤ N ≤ 10.0), and the dimensionless magneto hydrodynamic parameter (0.0 ≤ M ≤ 1.0). Numerical solution have been considered for a fluid Prandtl number fixed at (Pr=0.7), Rayleigh number (102 ≤ ≤ 105 ) l Ra . The results are shown reasonable representation to the relation between Nusselt number and Rayleigh number with other parameters (M, N and Q). Generally, Nu increase with increasing Ra, M, N and Q separately. When the MHD, N, and Q effect added to the heat transfer mechanism, the heat transfer rate increased and this effect increased with increasing in Ra, MHD, N, and Q. The effect of magneto hydrodynamic, heat generation and heat radiation on the rate of heat transfer is concluded by correlation
equations. The results are found to be in good agreement compared with the results of other researchers.
Article Details
How to Cite
Publication Dates
References
Branover Herman, (1978), "Magneto hydrodynamic Flow in Ducts", The MIT Cambridge, Massachusetts, and
London, England.
Brewster M.Q., (1992), "Thermal Radiative Transfer and Properties", John Willey & Sons. Inc., New York.
Filar P., Fornalik E. and Kaneda M., 2005 "Three Dimensional Numerical Convection of Air Inside a Cylinder
Heated and Cooled Isothermally from a Side Wall", Int. J. Heat and Mass Transfer. Vol. 48, pp. 1858-1867.
Ganesan P., and Loganathan P., (2002) "Radiation and mass transfer effects on flow of an incompressible viscous fluid
past a moving vertical cylinder", Int. J. Heat and Mass Transfer. Vol. 45. pp. 4281-4288.
Mc Adms, W. H. , (1954) "Heat Transmission", 3d ed. McGrew-Hill Book Company, New York.
Molla1 Md. M., Taher1 M.A., Chowdhury1 Md. M.K. and Hossain Md. A., (2005), "Magneto hydrodynamic Natural ConvectionFlow on a Sphere in Presence of Heat Generation ", Int. J. Heat and Mass Transfer. Vol. 10, No. 4, 349–363.
Patanker, S. V., (1980) “Numerical Heat Transfer and Fluid Flow”, Series In Computational Methods, McGraw- Hill, 1st Edition.
Schwab, T. H., and De Witt, K. J., (1970) “Numerical Investigation of Free Convection between Two Vertical Coaxial Cylinders”, AICHE J., Vol. 16, pp.1005-1010.
Singh N. P. and Ajay Kumar Singh, 2003 "MHD Free Convection and Mass Transfer Flow Past a Flat Plate"
the Arabian Journal for Science and Engineering, Vol. 32, number 1A .