References
A. S. Gupta, Flow of an electrically conducting fluid past a porous flat plate in the presence of a transverse magnetic field, J. Appl. Math. Physics, 11, 43 (1960).
T. Kakutani, Hydrodynamic flow over a plane wall with uniform suction, J. Appl. Math. Physics, 12, 219 (1961).
J. Serrin, Mathematical principles of classical fluid mechanics, Handbuch der Physik, Vol. VIII, Part 1, 125 (1959).
P. Chiarulli & J. C. Freeman, Stability of the boundary layer, Tech. Rep. No. F-TR-1197-1A, Headquarters Air Material Command, Dayton, 1948.
T. H. Hughes & W. H. Reid, On the stability of the asymptotic suction boundary layer profile, Jour. Fluid Mechanics, 23, 715 (1965).
D. F. Jankowski, The energy stability limit for the asymptotic suction profile, Jour. Fluid Mechanics, 23, 715 (1965).
A. M. Liftshits, Stability of the asymptotic boundary layer with suction against finite amplitude disturbances, Uzvestya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, 15, 140 (1980).
R. L. Simpson, W. M. Kays & R. Y. Moffatt, The turbulent boundary layer on a porous plate: an experimental study of the dynamics of injection and suction, Report No. HNT-2, Stanford, California, 173 (1967).
O. A. Likhachev, Self-oscillatory flow in asymptotic boundary layers, Zhur. Prikl. Mekh. Tekj. Fiz., 2, 194 (1976).
T. G. Cowling, Magnetohydrodynamics, Interscience Publishers, New York (1957).
D. D. Joseph, Stability of fluid motions II, Springer-Verlag, Berlin-Heidelberg-New York (1976).
Author information
Authors and Affiliations
Additional information
Communicated by D. D. Joseph
Rights and permissions
About this article
Cite this article
Rajagopal, K.R., Gupta, A.S. & Dandapat, B.S. On the nonlinear stability of flow of a conducting fluid past a porous flat plate in a transverse magnetic field. Arch. Rational Mech. Anal. 83, 91–98 (1983). https://doi.org/10.1007/BF00281088
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00281088