Keywords:-
Article Content:-
Abstract
The problem of MHD natural convection heat transfer in a square open cavity containing a heated circular cylinder at the centre has been investigated in this research. As boundary conditions the left vertical wall of the cavity is kept at a constant heat flux, bottom and top walls of the cavity are kept at different high and low temperature respectively. The right side wall is open. The software COMSOL Multiphysics is used to visualize the temperature distribution and fluid flow solving two-dimensional governing mass, momentum and energy equations for steady state, natural convection flow in presence of magnetic field in side an open square cavity. A uniformly heated circular cylinder is placed at the centre of the cavity. The objectives of this study is to describe the effects of Rayleigh number (Ra) on natural convection heat transfer and flow fields in a complicated domain like it in presence of magnetic field by visualization and line graphs. The investigations are conducted for different values of Rayleigh number and some fixed Hartmann numbers (Ha) with buoyancy effect. In the results it has been observed that an increase in Raleigh number of fluid corresponds to an increase in the total heat transfer when Hartmann number is fixed. Whichis a good agreement with the existing Heat Transfer Theory.
References:-
References
Chan, Y. L. and Tien, C.L.(1985), A Numerical Study of Two-Dimensional Laminar
Natural Convection in Shallow Open Cavities . International Journal Heat Mass
Transfer, Vol. 28, pp. 603-612.
Mohamad, A. (1995) “Natural convection in open cavities and slots.” Numerical Heat
Transfer, Vol. 27, pp. 705-716.
Ostrach, S. (1988), “Natural Convection in Enclosures. ASME Journal of Heat
Transfer”, Vol. 110, pp. 1175-1190.
Davis, S.H. (1967), “ Convection in a Box: Linear Theory”. Journal of Fluid
Machanics, Vol.30, pp. 465-478. 5. Hossain, M. A. and Wilson, M. (2002), Natural Convection Flow in a fluid-Saturated
Porous Medium Enclosed by Non-Isothermal Walls with Heat Generation.
International Journal of Thermal Sciences, Vol. 41, pp. 447-454.
Hossain, M. A.,Hafiz, M. S. and Rees, D. A. S.. (2005), Buoyancy and
Thermocapillary Driven Convection Flow of an Electrically Conducting Fluid in an
Enclosure with Heat Generation. International Journal of Thermal Sciences, Vol. 44,
pp. 676-684.. . International J. Heat Mass Transfer, Vol.48, pp. 3443-3453.
S. Roy, T. Basak, (2005), Finite Element Analysis of NNatural Convection Flows in a
Square Cavity with Non-Uniformly Heated Walls. J. Eng. Sci., “ Vol. 43, pp. 668-680.
S. Parvin, R. Nasrin (2011), “Analysis of the flow and heat transfer characteristics for
MHD free convection in an enclosure”. Nonlinear Analysis, Modeling and Control,
Vol. 16, No. 1. p. 89-99.
Sheikh Anwar Hossain & M A Alim (2012), “Effect of Natural Convection from an
Open Square Cavity Containing a Heated Circular Cylinder”. BJSIR, Dhaka,
Vol.47(1) Jan-March, 2012. p. 19-28. 10. Saha S. (2013), “ Effect of MHD and heat generation on natural convection flow in an
open square cavity under microgravity condition” Int. Journal of Engineering
Computations- Australia”, pp. 5-20.
Hossain, S. A., Alim, M. A. and Saha, S. K. (2015) “ A Finite Element Analysis on
MHD Free Convection Flow in Open Square Cavity Containing Heated Circular
Cylinder”. American Journal of Computational Mathematics, 5, 41-54.
http://dx.doi.org/10.4236/ajcm.2015.51003
C. Taylor and P. Hood, Int. J. of Computational Fluids, Vol. 1, pp. 73-89.
Chandrasekhor, S. (1961), “Hydrodynamics and Hydromagnetic Stablity”, Oxford
Clanderon Press, London, pp. 09-79.
P. Dechaumphai, Finite Element Method in Engineering, 2nd edition, Chulalongkorn
University Press, Bangkok, 1999.