Abstract
A general, implicit, numerical, marching procedure is presented for the solution of parabolic partial differential equations, with special reference to those of the boundary layer. The main novelty lies in the choice of a grid which adjusts its width so as to conform to the thickness of the layer in which significant property gradients are present. The non-dimensional stream function is employed as the independent variable across the layer. The capabilities of the method are demonstrated by application to: the heated flat plate in a high-Mach-number laminar stream; the axi-symmetrical turbulent jet in moving and stagnant surroundings; and the radial turbulent wall jet.
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