Abstract
The classical Rayleigh problem has been extended to the case of the hydromagnetic free-convective flow of an electrically-conducting and incompressible viscous fluid past an infinite vertical naturally permeable wall in a rotating system. The applied transverse magnetic field is fixed with the moving wall and the magnetic Reynolds number of the flow is taken small so that the induced magnetic field can be neglected in comparison to the applied magnetic field. The permeable wall starts moving from rest in the still fluid and thus arises an initial value problem whose solution has been obtained by the Laplace transform method for two important cases impulsive as well as accelerated start of the plate. Mathematical expression for skin friction components have been also obtained in a closed form. Asymptotic behaviour of the solution is analysed for both the cases, and some interesting particular cases have also been encountered. Influence of various physical parameters occurring into the problem has been discussed with the aid of graphs and tables.
Similar content being viewed by others
References
Abramowitz, M. and Stegun, I. A. (eds.): 1964,Handbook of Mathematical Functions, Dover Publication, Inc., New York.
Chang, C. C. and Yen, J. T.: 1959,Phys. Fluids 2, 393.
Cramer, K. R. and Pai, S. I.: 1973,Magneto-Fluid Dynamics of Engineering and Applied Physicists, McGraw-Hill Publ. Co., New York.
Datta, N. and Jana, R. N.: 1976,Bull. Math. Soc. R.S. Roumanie 20, 63.
Georgantopoulos, G. A., Doukas, C. N., Kafousias, N. G., and Goudas, C. L.: 1979,Letters Heat Mass Trans. 6, 397.
Gupta, A. S.: 1960,J. Phys. Soc. Japan 15, 1894.
Houghton, E. L. and Boswell, R. P.: 1969,Further Aerodynamics for Engineering Students, Edward Arnold Ltd., p. 252.
Kafousias, N. G., Nanousis N. D., and Georgantopoulos, G. A.: 1979,Astrophys. Space Sci. 64, 391.
Nanousis, N. D., Georgantopoulos, G. A., and Papaionnou, A. I.: 1980,Astrophys. Space Sci. 70, 377.
Raptis, A. and Singh, A. K.: 1983,Int. Comm. Heat Mass Trans. 10, 313.
Raptis, A. and Singh, A. K.: 1985,Mech. Res. Comm. 12, 31.
Raptis, A. and Singh, A. K.: 1986,Acta Phys. Hungarica 60, 221.
Rossow, V. J.: 1957,NACA Rept., No. 3971.
Rossow, V. J.: 1958,NACA Rept., No. 1358.
Singh, A. K.: 1982,Astrophys. Space Sci. 87, 455.
Singh, A. K.: 1983,Astrophys. Space Sci. 95, 283.
Singh, A. K.: 1984a,Int. Comm. Heat Mass Trans. 11, 399.
Singh, A. K.: 1984b,Astrophys. Space Sci. 103, 155.
Soundalgekar, V. M.: 1965,Appl. Sci. Res. 10A, 141.
Soundalgekar, V. M.: 1977,Trans. ASME J. Heat Mass Trans. 99C, 399.
Soundalgekar, V. M. and Pop, I.: 1970,Bull. Math. Soc. Math. R.S. Roumanie 14, 375.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Singh, A.K., Singh, J.N. Transient MHD free convection in a rotating system. Astrophys Space Sci 162, 85–106 (1989). https://doi.org/10.1007/BF00653347
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00653347