Analysis of a Fluid Behavior in a Rectangular Enclosure under the Effect of Magnetic Field
In this research, a 2-D computational analysis of
steady state free convection in a rectangular enclosure filled with an
electrically conducting fluid under Effect of Magnetic Field has been
performed. The governing equations (mass, momentum, and energy)
are formulated and solved by a finite volume method (FVM)
subjected to different boundary conditions. A parametric study has
been conducted to consider the influence of Grashof number (Gr),
Prantdl number (Pr) and the orientation of magnetic field on the flow
and heat transfer characteristics. It is observed that Nusselt number
(Nu) and heat flux will increase with increasing Grashof and Prandtl
numbers and decreasing the slope of the orientation of magnetic field.
[1] Rudraiah, N., Barron, R.M., Venkatachalappa, M., Subbaraya, C.K.,
1995, "Effect of a magnetic field on free convection in a rectangular
cavity", Int. J. Eng. Sci, 33, pp. 1075-1084.
[2] Pirmohammadi, M., Ghassemi, G.A., Sheikhzadeh, 2009, "Effect of a
magnetic field on buoyancy driven convection in differentially heated
square cavity", IEEE Trans. Magn, 45(1), pp. 407-411.
[3] Sparrow, E.M., Cess, R.D., 1961, "The effect of a magnetic field on fre
convection heat transfer", Int. J. Heat & Mass Transfer, 3, pp. 267-274.
[4] Lykoudis, P.S., 1962, "Natural convection of an electrically conducting
fluid in the presence of a magnetic field", Int. J. Heat & Mass Transfer,
5, pp. 23-34.
[5] Papailiou, D.D., Lykoudis, P.S., 1968, "Magnetofluid-mechanic laminar
natural convection- and experiment", Int. J. Heat & Mass Transfer, 11,
pp. 1385-1391.
[6] Papailiou, D.D., Lykoudis, P.S., 1968, "Magnetofluid-mechanic free
convection turbulent flow", Int. J. Heat & Mass Transfer, 17, pp. 1181-
1189.
[7] Seki, M., Kawamura, H., Sanokawa, K., 1979, "Natural convection of
mercury in a magnetic field parallel to the gravity", ASME Journal of
Heat Transfer, 101, pp. 227-232.
[8] Fumizawa, M., 1980, "Natural convection experiment with liquid NaK
under transverse magnetic field ", Journal of Nuclear Science and
Technology, 17, pp. 98-105.
[9] Takhar, H.S., 1982, "Dissipation effects on MHD free convection flow
past a semi-infinite vertical plate ", Applied Scientific Research, 36, pp.
163-171.
[10] Kim, K.M., 1982, "Suppression of thermal convection by transverse
magnetic field", Journal of the Electrochemical Society, 129, pp. 427-
429.
[11] Langlois, W.E., Lee, K., 1983, "Czochralski crystal growth in an axial
magnetic field: effects of joule heating", Journal of Crystal Growth, 62,
pp. 481-486.
[12] Kerr, O.S., Wheeler, A.A., 1989, "The effect of a weak vertical magnetic
field on the buoyancy-driven boundary-layer flow past a vertical heated
wall", Journal of Fluid Mechanics, 199, pp. 217-236.
[13] Okada, K., Ozoe, H., 1992, "Experimental heat transfer rates of natural
of molten gallium suppressed under an external magnetic field in either
the X, Y or Z direction", ASME Journal of Heat Transfer, 114, pp. 107-
114.
[14] Barth, T.J., and Jesperson, D., 1989, "The Design and Application of
Upwind Schemes on Unstructured Meshes," AIAA paper No.89-0366.
[15] Leonard, B. P., 1995, "Order of Accuracy of Quick and Related
Convection-Diffusion Schemes," Appl. Math. Model, 19, p. 640.
[16] Vandoormall, J.P., and Raithby, G.D., 1984, "Enhancements of the
Simple Method for Predicting Incompressible Fluid Flow," Numerical
Heat Transfer, 7, pp.147-163.
[17] Davis, G.D.V., 1983, "Natural convection of air in a square cavity: a
benchmark solution," Int. J. Numer. Meth. Fluids, 3, pp.249-264.
[18] Markatos, N.C., Pericleous, K.A., 1984, "Laminar and turbulent natural
convection in an enclosed cavity," Int. J. Heat Mass Transfer, 27,pp.755-
772.
[19] Hadjisophocleous, G.V., Sousa, A.C.M.,Venart, J.E.S., 1998,
"Predicting the transient natural convection in enclosures of arbitrary
geometry using a no orthogonal numerical model," Numer. Heat
Transfer a, 13, pp.373-392.
[1] Rudraiah, N., Barron, R.M., Venkatachalappa, M., Subbaraya, C.K.,
1995, "Effect of a magnetic field on free convection in a rectangular
cavity", Int. J. Eng. Sci, 33, pp. 1075-1084.
[2] Pirmohammadi, M., Ghassemi, G.A., Sheikhzadeh, 2009, "Effect of a
magnetic field on buoyancy driven convection in differentially heated
square cavity", IEEE Trans. Magn, 45(1), pp. 407-411.
[3] Sparrow, E.M., Cess, R.D., 1961, "The effect of a magnetic field on fre
convection heat transfer", Int. J. Heat & Mass Transfer, 3, pp. 267-274.
[4] Lykoudis, P.S., 1962, "Natural convection of an electrically conducting
fluid in the presence of a magnetic field", Int. J. Heat & Mass Transfer,
5, pp. 23-34.
[5] Papailiou, D.D., Lykoudis, P.S., 1968, "Magnetofluid-mechanic laminar
natural convection- and experiment", Int. J. Heat & Mass Transfer, 11,
pp. 1385-1391.
[6] Papailiou, D.D., Lykoudis, P.S., 1968, "Magnetofluid-mechanic free
convection turbulent flow", Int. J. Heat & Mass Transfer, 17, pp. 1181-
1189.
[7] Seki, M., Kawamura, H., Sanokawa, K., 1979, "Natural convection of
mercury in a magnetic field parallel to the gravity", ASME Journal of
Heat Transfer, 101, pp. 227-232.
[8] Fumizawa, M., 1980, "Natural convection experiment with liquid NaK
under transverse magnetic field ", Journal of Nuclear Science and
Technology, 17, pp. 98-105.
[9] Takhar, H.S., 1982, "Dissipation effects on MHD free convection flow
past a semi-infinite vertical plate ", Applied Scientific Research, 36, pp.
163-171.
[10] Kim, K.M., 1982, "Suppression of thermal convection by transverse
magnetic field", Journal of the Electrochemical Society, 129, pp. 427-
429.
[11] Langlois, W.E., Lee, K., 1983, "Czochralski crystal growth in an axial
magnetic field: effects of joule heating", Journal of Crystal Growth, 62,
pp. 481-486.
[12] Kerr, O.S., Wheeler, A.A., 1989, "The effect of a weak vertical magnetic
field on the buoyancy-driven boundary-layer flow past a vertical heated
wall", Journal of Fluid Mechanics, 199, pp. 217-236.
[13] Okada, K., Ozoe, H., 1992, "Experimental heat transfer rates of natural
of molten gallium suppressed under an external magnetic field in either
the X, Y or Z direction", ASME Journal of Heat Transfer, 114, pp. 107-
114.
[14] Barth, T.J., and Jesperson, D., 1989, "The Design and Application of
Upwind Schemes on Unstructured Meshes," AIAA paper No.89-0366.
[15] Leonard, B. P., 1995, "Order of Accuracy of Quick and Related
Convection-Diffusion Schemes," Appl. Math. Model, 19, p. 640.
[16] Vandoormall, J.P., and Raithby, G.D., 1984, "Enhancements of the
Simple Method for Predicting Incompressible Fluid Flow," Numerical
Heat Transfer, 7, pp.147-163.
[17] Davis, G.D.V., 1983, "Natural convection of air in a square cavity: a
benchmark solution," Int. J. Numer. Meth. Fluids, 3, pp.249-264.
[18] Markatos, N.C., Pericleous, K.A., 1984, "Laminar and turbulent natural
convection in an enclosed cavity," Int. J. Heat Mass Transfer, 27,pp.755-
772.
[19] Hadjisophocleous, G.V., Sousa, A.C.M.,Venart, J.E.S., 1998,
"Predicting the transient natural convection in enclosures of arbitrary
geometry using a no orthogonal numerical model," Numer. Heat
Transfer a, 13, pp.373-392.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:62585", author = "Y.Bakhshan and H.Ashoori", title = "Analysis of a Fluid Behavior in a Rectangular Enclosure under the Effect of Magnetic Field", abstract = "In this research, a 2-D computational analysis of
steady state free convection in a rectangular enclosure filled with an
electrically conducting fluid under Effect of Magnetic Field has been
performed. The governing equations (mass, momentum, and energy)
are formulated and solved by a finite volume method (FVM)
subjected to different boundary conditions. A parametric study has
been conducted to consider the influence of Grashof number (Gr),
Prantdl number (Pr) and the orientation of magnetic field on the flow
and heat transfer characteristics. It is observed that Nusselt number
(Nu) and heat flux will increase with increasing Grashof and Prandtl
numbers and decreasing the slope of the orientation of magnetic field.", keywords = "Rectangular Cavity, magneto-hydrodynamic, free
convection, simulation", volume = "6", number = "1", pages = "318-5", }
