Effects of Magnetic Field, Buoyancy and Conjugate Heat Transfer on Flow over a Vertical Thin Plate
Abstract
In this study, effects of magnetic field, conjugate heat transfer and buoyancy have been numerically investigated on flow over a thin vertical plate. The fluid is assumed to be incompressible and dense. The nonlinear coupled parabolic partial differential equations governing the flow are transformed into the boundary layer equations, which are then solved numerically using the Keller box method. The effects of the conjugate heat transfer parameter p, the mixed convection parameter Ri, the magnetic parameter Mn and the electric field parameter E1 on the velocity and temperature profiles as well as on the local skin friction and local heat transfer are presented and analyzed. The validity of the methodology and analysis is checked by comparing the results obtained for some specific cases with those available in the literature.
Keywords
References
- Mamun, A.A., Chowdhury, Z.R., Azim, M.A. and Maleque, M.A., “Conjugate heat transfer for a vertical flat plate with heat generation effect”, Nonlinear Analysis: Modelling and Control, 13(2), 213–223, 2008.
- Chang C.L., “Numerical simulation of micropolar fluid flow along a flat plate with wall conduction and buoyancy effects”, Journal of Physics D: Applied Physics, 39, 1132–1140, 2006.
- Miyamoto, M., Sumikawa, J., Akıyohi, T. and Nakamura, T., “Effects of axial heat conduction in a vertical flat plate on free convection heat transfer”, International Journal of Heat and Mass Transfer, 23, 1545-1553, 1980.
- Sparrow, E.M. and Chyu, M.K., “Conjugated forced convection–conduction analysis of heat transfer in a plate fin”, ASME Journal of Heat Transfer, 104, 204–206, 1982.
- Char, M.I., Chen, C.K. and Cleaver, J.W., “Conjugate forced convection heat transfer from a continuous, moving flat sheet”, International Journal of Heat and Fluid Flow, 11, 57–261, 1990. Wang, T.Y., “The coupling of conduction with mixed convection of micropolar fluids past a vertical flat plate”, International Communications in Heat and Mass Transfer, 25(8), 1075-1084, 19
- Pop, I., Ingham, B. and Yuan, Y., “Mixed convective conjugate heat transfer from a vertical flat plate”, ZAMM-Zeitschrift Fur Angewandte Mathematik und Mechanik, 76 (5), 281-289, 1996.
- Hsiao, K.L. and Hsu, C.H., “Conjugate heat transfer of mixed convection for viscoelastic fluid past a horizontal flat-plate fin”, Applied Thermal Engineering, 29, 28–36, 2009.
- Pal, D. and Mondal, H., “Hydromagnetic nonDarcy flow and heat transfer over a stretching sheet in the presence of thermal radiation and Ohmic dissipation”, Communucation Nonlinear Science Numerical Simulation, 15, 1197–1209, 20
Details
Primary Language
English
Subjects
-
Journal Section
-
Publication Date
August 17, 2013
Submission Date
April 5, 2013
Acceptance Date
-
Published in Issue
Year 2013 Volume: 16 Number: 1