Abstract

Boundary layers, regions of concentration of vorticity, appear adjacent to boundaries in the flow of a linearly viscous fluid at high Reynolds numbers. When the equations governing the flow of the linearly viscous fluid are appropriately non-dimensionalized, we find that the inertial term is multiplied by the Reynolds number, and this term while it is the only non-linear term in the equation is of lower order than the highest order term in the equation usually leading to a singular perturbation problem at high Reynolds numbers. The study of boundary layers in such fluids has led to significant developments in singular perturbation theory.

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