Numerical study of magneto-hydrodynamic (MHD) mixed convection flow in a lid-driven triangular cavity
DOI:
https://doi.org/10.3329/jname.v12i1.12910Keywords:
MHD, Mixed convection, Lid-driven Triangular cavity, Finite element technique, Hartmann number, Rayleigh number.Abstract
In the present paper, the effect of magneto-hydrodynamic (MHD) on mixed convection flow within a lid-driven triangular cavity has been numerically investigated. The bottom wall of the cavity is considered as heated. Besides, the left and the inclined wall of the triangular cavity are assumed to be cool and adiabatic. The cooled wall of the cavity is moving up in the vertical direction. The developed mathematical model is governed by the coupled equations of continuity, momentum and energy to determine the fluid flow and heat transfer characteristics in the cavity as a function of Rayleigh number, Hartmann number and the cavity aspect ratio. The present numerical procedure adopted in this investigation yields consistent performance over a wide range of parameters Rayleigh number Ra (103-104), Prandtl number Pr (0.7 - 3) and Hartmann number Ha (5 - 50). The numerical results are presented in terms of stream functions, temperature profile and Nussult numbers. It is found that the streamlines, isotherms, average Nusselt number, average fluid bulk temperature and dimensionless temperature in the cavity strongly depend on the Rayleigh number, Hartmann number and Prandtl number.
Downloads
413
301
References
Basak, T., Roy, S. and Thirumalesha, C. (2007): Finite Element Analysis of Natural Convection in a Triangular Enclosure: Effects of Various Thermal Boundary Conditions, Chemical Engineering Science, Vol. 62, No.9, pp. 2623 2640.
Chamkha, A. J. (2002): Hydro-Magnetic Combined Convection Flow in a Vertical Lid-Driven Cavity With Internal Heat Generation or Absorption, Numerical Heat Transfer, Part A, Vol. 41, No.5, pp. 529-546.
Dechaumphai, P.: Finite Element Method in Engineering, Second Ed., Chulalongkorn University Press, Bangkok,1999.
Babu, H. D. and Narayana, P.V. S. (2013): Influence of Variable Permeability and Radiation Absorption on the Heat and Mass Transfer in MHD Micropolar Flow Over a Vertical Moving Porous Plate, ISRN Thermodynamics, Vol. 2013, pp.1-17. http://dx.doi.org/10.1155/2013/953536.
Kumar, J. G., Narayana, P.V. S. and Ramakrishna, S. (2009): Effects of The Chemical Reaction and Mass Transfer on MHD Unsteady Free Convection Flow Past an Infinite Vertical Plate With Constant Suction and Heat Sink, Ultra Science, Vol. 21, No. 3, pp.639-650.
Narayana, P. V. S., Venkateswarlu, B. and Venkataramana, S.V. (2013a): Effects of Hall Current and Radiation Absorption on MHD Micropolar Fluid in a Rotating System, Ain Shams Engineering Journal,Vol.4, No.4, pp.843-854.
Narayana , P.V. S., Venkateswarlu, B. and Venkataramana, S.V. (2013b): Thermal Radiation and Heat Source Effects on MHD Nanofluid Past a Vertical Plate in A Rotating System With Porous Medium, Heat Transfer-Asian Research, Vol. 44, No.1, pp. 1-19. http://dx.doi.org/10.1002/htj.21101.
Oreper, G. M. and Szekely, J.(1983): The Effect of an Externally Imposed Magnetic Field on Buoyancy Driven Flow in a Rectangular Cavity, Journal of Crystal Growth, Vol. 64, No.3, pp. 505-515.
Ozoe, H., and Maruo, M.,(1987): Magnetic and Gravitational Natural Convection of Melted Silicon-Two Dimensional Numerical Computations for The Rate of Heat Transfer, JSME, Vol. 30, No.363, pp. 774-784.
Raju, K.V.S., Reddy, T. Sudhakar, Raju, M.C. and Narayana, P.V. S. and Venkataramana, S.V. (2013): MHD Convective Flow Through Porous Medium in a Horizontal Channel With Insulated and Impermeable Bottom Wall in The Presenceof Viscous Dissipation and Joule Heating, Ain Shams Engineering Journal, Vol.5, No.1, pp. 543-551. http://dx.doi.org/10.1016/j.asej.2013.10.007
Rahman, M. M., Alim, M. A. and Mamun, M. A. H.(2009a): Effect Of a Heat Conducting Horizontal Circular Cylinder on MHD Mixed Convection in A Lid- Driven Cavity Along With Joule Heating, International Journal of Mechanical and Materials Eng. (IJMME), Vol. 4, No. 3, pp.256-265.
Rahman, M.M., Alim, M.A. Mamun, and Chowdhury, M.K. (2009b): Magneto-hydrodynamic Mixed Convection Around A Heat Conducting Horizontal Circular Cylinder In A Rectangular Lid-Driven Cavity With Joule Heating, Journal of Scientific Research, Vol.1, No.3, pp.461-472.
Rahman, M. M. and Alim, M. A. (2010): MHD Mixed Convection Flow in a Vertical Lid-Driven Square Enclosure Including a Heat Conducting Horizontal Circular Cylinder With Joule Heating, Nonlinear Analysis: Modeling and Control, Vol. 15, No. 2, pp.199-211.
Rudraiah, N. Venkataachalaaappa,M.and subbaraya,C.K. (1995a): Combined Surface Tension and Buoyancy-Driven Convection In A Rectangular Open Cavity In The Presence Of Magnetic Field International Journal Non-linear Mechanics, Vol. 30, No.5, pp. 759-770.
Rudraiah, N., Venkataachalaaappa, M. and Subbaraya, C. K. (1995b): Effect of Magnetic Field on Free Convection in a Rectangular Enclosure, International Journal of Engineering Science, Vol. 33, No.8,pp. 1075-1084.
Zienkiewicz, O. C. and Taylor, R. L. The Finite Element Method, Fourth Ed., McGraw-Hill, 1991.
Downloads
Published
How to Cite
Issue
Section
License
Please download the Copyright Transfer Agreement and send it after duly filled in.
Link to FaceBook
