An exact solution of the Navier-Stokes equations for magnetohydrodynamic flow. (English) Zbl 0863.76089

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 within the framework of high-Reynolds number boundary layer theory, in which the pressure distribution cannot be determined.


76W05 Magnetohydrodynamics and electrohydrodynamics
35Q30 Navier-Stokes equations
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