Summary
Viscous flow past a stretching sheet in the presence of a uniform magnetic field is considered. An exact similarity solution for velocity and pressure of the two-dimensional Navier-Stokes equations is presented, which is formally valid for all Reynolds numbers. The solution for the velocity field turns out to be the identical solution derived earlier by Pavlov [1] within the framework of high-Reynolds-number boundary layer theory, in which the pressure distribution cannot be determined.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Pavlov, K. B.: Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface. Magnitnaya Gidrodinamika (U.S.S.R.)4, 146–147 (1974).
Chakrabarti, A., Gupta, A. S.: Hydromagnetic flow and heat transfer over a stretching sheet. Q. Appl. Math.37, 73–78 (1979).
Takhar, H. S., Ali, M. A., Gupta, A. S.: Stability of magnetohydrodynamic flow over a stretching sheet. In. Liquid metal hydrodynamics (Lielpeteris, J., Moreau, R., eds.), pp. 465–471. Dordrecht: Kluwer 1989.
Andersson, H. I.: MHD flow of a viscoelastic fluid past a stretching surface. Acta Mech.95, 227–230 (1992).
Andersson, H. I., Bech, K. H., Dandapat, B. S.: Magnetohydrodynamic flow of a power-law fluid over a stretching sheet. Int. J. Non-Linear Mech.27, 929–936 (1992).
Wang, C. Y.: Exact solutions of the steady-state Navier-Stokes equations. Ann. Rev. Fluid Mech.23, 159–177 (1991)
Shercliff, J. A.: A textbook of magnetohydrodynamics. Oxford: Pergamon Press 1965.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Andersson, H.I. An exact solution of the Navier-Stokes equations for magnetohydrodynamic flow. Acta Mechanica 113, 241–244 (1995). https://doi.org/10.1007/BF01212646
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01212646