Mixed magnetoconvection in a lid-driven cavity with a sinusoidal wavy wall and a central heat conducting body
DOI:
https://doi.org/10.3329/jname.v8i1.6793Keywords:
Mixed magnetoconvection, wavy wall, cavity, finite element method, heat conducting body.Abstract
A numerical study has been performed to explore the mixed magnetoconvective flow and heat transfer characteristics of fluid contained in a lid-driven cavity having a sinusoidal wavy vertical surface. A heat conducting square body is located at the centre of cavity. The cavity horizontal walls are perfectly insulated while the corrugated right vertical surface is maintained at a uniform temperature higher than the left lid. The flow is assumed to be two-dimensional and Joule heating effect is considered. Calculations are carried out through solving governing equations for different parameters by using Galarkins weighted residual finite element method. The flow pattern and the heat transfer characteristics inside the cavity are presented in the form of streamlines, isotherms, average temperature of the fluid and temperature of solid body centre for various values of Prandtl number Pr, Richardson number Ri and magnetic parameter Ha. The heat transfer rate is detected maximum for the highest Pr and absence of magnetic field.
Downloads
185
158
References
Adjlout, L., Imine, O., Azzi, A., Belkadi, M. (2002): Laminar natural convection in an inclined cavity with a wavy-wall, International Journal of Heat and Mass Transfer, Vol. 45, pp. 21412152.
Al-Amiri, A., Khanafer, K., Bull, J., Pop, Ioan (2007): Effect of sinusoidal wavy bottom surface on mixed convection heat transfer in a lid-driven cavity, International Journal of Heat and Mass Transfer, Vol. 50, pp. 17711780.
Bums, J.C., Parkes, T. (1967): Peristaltic motion, Journal of Fluid Mechanics, Vol. 29, pp. 731743.
Buscaglia, Gustavo C. and Dari, Enzo A. (2003): Numerical investigation of flow through a cavity with internal heat generation, Numerical Heat Transfer, Part A, Vol. 43, pp. 525541.
Chamkha, A.J. (2002): Hydromagnetic combined convection flow in a vertical lid-driven cavity with internal heat generation or absorption, Numerical Heat Transfer, Part A, Vol. 41, pp. 529-546.
Das, P.K., Mahmud, S. (2003): Numerical investigation of natural convection inside a wavy enclosure, Int. J. Therm. Sci., Vol. 42, pp. 397406.
Dechaumphai, P. (1999): Finite Element Method in Engineering, 2nd ed., Chulalongkorn University Press, Bangkok.
Goldstein, J.L., Sparrow, E.M. (1977): Heat/mass transfer characteristics for flow in a corrugated wall channel, ASME Journal of Heat Transfer, Vol. 99, pp. 187195.
Kumar, B.V.R. (2000): A study of free convection induced by a vertical wavy surface with heat flux in a porous enclosure, Numerical Heat Transfer, Part A, Vol. 37, pp. 493510.
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: Modelling and Control, Vol. 15, No. 2, pp. 199211.
Rahman, M.M., Alim, M.A., Chowdhury, M.K. (2009): Magnetohydrodynamics mixed convection around a heat conducting horizontal circular cylinder in a rectangular cavity with joule heating, Journal of Scientific Research, Vol. 1, No. 3, pp. 461-472.
Rahman, Md. M., Alim, M.A. Saha, Sumon and. Chowdhury, M.K. (2008): Mixed convection in a vented square cavity with a heat conducting horizontal solid circular cylinder, Journal of Naval Architecture and Marine Engineering, Vol. 5, No. 2, pp. 37-46.
Reddy, J.N. (1993): An Introduction to Finite Element Analysis, McGraw-Hill, New-York.
Saha, Goutam (2010): Finite element simulation of magnetoconvection inside a sinusoidal corrugated enclosure with discrete isoflux heating from below, International Communications in Heat and Mass Transfer, 37, No. 4, pp. 393-400.
Taylor, C., Hood, P. (1973): A numerical solution of the Navier-Stokes equations using finite element technique, Computers and Fluids, Vol. 1, No. 1, pp. 7389.
Wang, C.-C., Chen, C.-K. (2002): Forced convection in a wavy-wall channel, International Journal of Heat and Mass Transfer, Vol. 45, pp. 25872595.
Zeinkiewicz, O.C., Taylor, R.L., Too, J.M. (1971): Reduced integration technique in general analysis of plates and shells, International Journal for Numerical Methods in Engineering, Vol. 3, pp. 275-290.
Downloads
Published
How to Cite
Issue
Section
License
Please download the Copyright Transfer Agreement and send it after duly filled in.
Link to FaceBook
