Influence of centered conducting obstacle on MHD combined convection in a wavy chamber
DOI:
https://doi.org/10.3329/jname.v8i2.7392Keywords:
Combined convection, MHD, wavy chamber, heat conducting obstacle, finite element simulationAbstract
The development of centered heat conducting obstacle effect on combined magnetoconvective flow in a lid driven chamber has been numerically studied. The enclosure considered has rectangular horizontal lower surfaces and vertical side surfaces. The lower and upper surfaces are insulated. The left wall is mechanically lid driven having uniform temperature Ti and velocity v0 while other vertical side is wavy and maintains higher temperature Th than the lid. The governing two-dimensional flow equations have been solved by using Galerkin weighted residual finite element technique. The investigations are conducted for different values of Richardson number (Ri) and physical parameter i.e. diameter (D) of square solid body. Various characteristics such as streamlines, isotherms and heat transfer rate in terms of the mean Nusselt number (Nu), the average temperature (?av) of the fluid and temperature of obstacle center (?c) are presented. The results indicate that the mentioned parameters strongly affect the flow phenomenon and temperature field inside the chamber. Conducting largest obstacle is preferable for effective heat transfer mechanism in presence of magnetic field.
Keywords: Combined convection, MHD, wavy chamber, heat conducting obstacle, finite element simulation.
doi: http://dx.doi.org/10.3329/jname.v8i2.7392
Journal of Naval Architecture and Marine Engineering 8(2011) 93-104
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References
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.
Bhoite, M. T., Narasimham, G. S. V. L., Murthy, M. V. K (2005): Mixed convection in a shallow enclosure with a series of heat generating components, International Journal of Thermal Sciences, Vol. 44, No. 2, pp.121-135.
Calmidi, V.V., Mahajan, R.L. (1998): Mixed convection over a heated horizontal surface in a partial enclosure, International Journal of Heat and Fluid Flow, Vol.19, pp.358-367.
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.
Garandet, J.P., Alboussiere, T., Moreau, R. (1992): Buoyancy driven convection in a rectangular enclosure with a transverse magnetic field, International Journal of Heat Mass Transfer, Vol. 35, pp. 741-748.
House, J.M., Beckermann, C., Smith, T.F. (1990): Effect of a centered conducting body on natural convection heat transfer in an enclosure, Numerical Heat Transfer, Part A, Vol. 18, pp. 213225.
Hsu, T.H. and How, S.P. (1999): Mixed convection in an enclosure with a heat-conducting body. Acta Mechanica, Vol. 133, pp. 87-104.
Omri, A. and Nasrallah, S.B. (1999): Control Volume Finite Element Numerical Simulation of Mixed Convection in an Air-Cooled Cavity, Numerical Heat Transfer, Part A, Vol. 36, pp. 615-637.
Oztop, H.F., Zhao, Z., YU, Bo (2009): Fluid flow due to combined convection in lid-driven enclosure having a circular body, International Journal Heat Fluid Flow, Vol. 30, No. 5, pp. 886-901.
Papanicolaou, E., Jaluria, Y. (1990): Mixed convection from an isolated heat source in a rectangular enclosure, Numerical Heat Transfer, Part A, Vol.18, pp. 427-461.
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., Sarker, M.M.A. (2010): Numerical study on the conjugate effect of joule heating and magneto-hydrodynamics mixed convection in an obstructed lid-driven square cavity, International Communications in Heat and Mass Transfer, Vol. 37, pp. 524-535.
Reddy, J.N. (1993): An Introduction to Finite Element Analysis, McGraw-Hill, New-York.
Rudraiah, N., Venkatachalappa, M., Subbaraya, C.K. (1995): Combined surface tension and buoyancy-driven convection in a rectangular open cavity in the presence of magnetic field, International Journal of Non-linear Mechanics, Vol. 30 No. 5, pp. 759-770.
Sivasankaran, S., Malleswaran, A., Lee, Jinho and Sundar, Pon (2011): Hydro-magnetic combined convection in a lid-driven cavity with sinusoidal boundary conditions on both sidewalls, International Journal of Heat and Mass Transfer, Vol. 54, No. 1-3, pp. 512-525.
Shi, W., Vafai, K. (2010): Mixed convection in an obstructed open-ended cavity, Numerical Heat Transfer; Part A: Applications, Vol. 57, No. 10 pp. 709-729.
Shokouhmand, H. and Sayehvand, H. (2004): Numerical study of flow and heat transfer in a square driven cavity, International Journal of Engineering, Transactions A: Basics, Vol. 17, No. 3, pp. 301-317.
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.
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