An exact solution of the Navier-Stokes equations for magnetohydrodynamic flow
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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  within the framework of high-Reynolds-number boundary layer theory, in which the pressure distribution cannot be determined.
KeywordsMagnetic Field Boundary Layer Dynamical System Reynolds Number Exact Solution
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