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.
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References
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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
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DOI: https://doi.org/10.1007/BF01212646