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Mixed Convection on a Vertical Flat Plate with Variable Magnetic Field

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The steady laminar incompressible boundary layer mixed convection flow of an electrically conducting fluid on a vertical flat plate in the presence of an applied magnetic field has been studied. The effect of the induced magnetic field has been considered in the analysis. The resulting partial differential equations are transformed into a system of ordinary differential equations which have been solved numerically using shooting method. Two cases are considered here for the buoyancy force: (i) when it acts in the same direction as the forced flow (Tw > T∞), (ii) when it acts in the opposite direction to the forced flow (Tw < T∞). The velocity profiles, temperature profiles, the skin friction on the plate and the rate of heat transfer coeffcient (Nusselt number) are computed and discussed for different values of the magnetic force number β, the thermal buoyancy force ╏, reciprocal of the magnetic Prandtl number α and viscous dissipation parameter (Eckert number) Ec for the two cases.
Rocznik
Strony
97--112
Opis fizyczny
Bibliogr. 25 poz.
Twórcy
autor
  • Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
Bibliografia
  • [1] Ramachandran, N., Chen, T. C., Armaly, B. F.: J. Heat Transfer, 1988, 110, pp. 373- 380 .
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  • [7] Hossain, M. A., Ahmed, M.: Int. J. Heat Mass Transfer, 1990 33, pp. 517-575.
  • [8] Hossain, M. A.: Int. J. Heat Mass Transfer,1992 3, pp. 3485-3487.
  • [9] Ibrahim, F. N.: Ilnouvo Cimento, 1995, 17 D, pp. 1089- 1101.
  • [10] Kumari, M., Takhar, H. S., Nath G.: Int. J. Engng. Sci., 1992, 30, pp. 1789-1800.
  • [11] Takhar, H. S., Chamkha, A. J., Nath G.: Int. J. Engng. Sci. 1999, 37, pp. 1723-1736.
  • [12] Sutton, G. W., Sherman, A.: Engineering Magnitohydrodynamics. McGrow-Hill, 1965
  • [13] Gribben, R. J.: Proc. R. Soc., London, 1965, 287A, pp. 123-129.
  • [14] Nachtsheim, P. R., Swiger P.: Nacatnd, 1965.
  • [15] Pop, I., Subba, R., Gorla, R., Rashid M.: Int. J. Engng. Sci., 1992, 30, No 1, pp. 1-6.
  • [16] Schilichting, H.: Boundary Layer Theory, McGrow-Hill book company, 1968.
  • [17] Elbashbeshy, E. M. A.: Int. J. Engng. Sci. 34,1997 No. 5, 515 .
  • [18] Graham, W., Roland, H.: Int. J. Heat Mass Transfer, 1987, 30, No. 6, pp. 1119-1131.
  • [19] Cramer, K. R., I Pai, S.: Magnetofluid Dynamics For Engineers And Applied Physics , McGraw-Hill 1973.
  • [20] Sutton, W. G., Sherman, A.: Engineering Magnetohydrodynamics, McGraw-Hill, 1974.
  • [21] Eskinazi S.: Vector Mechanics of fluids and Magnetofluids, McGraw-Hill, 1967.
  • [22] Ibrahim, F. N., Terbeche, M.: Solution of laminar boundary layer equations for a conducting power law non-Newtonian fluid in a transverse magnetic field, J. Phys. D: Appl. Phys., 1994, 27, pp. 740-747.
  • [23] Gribben R. J.: Proc. R. Soc. Lond., 1965, 287A, 123.
  • [24] Chen, T. S., Sparrow, E. M., Mucoglu M.: Mixed convection in boundary layer flow on a horizontal plate, J. Heat Transfer, 1977, Febrauary pp. 66-71.
  • [25] Anjalidevi, S. P., Kandasamy, R.: Effect of chemical reaction, heat and mass transfer on laminar flow along a semi infinite horizontal plate, J. Heat and Mass Transfer, 1999, 35, pp. 465-467.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD9-0011-0019
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