LAUSR

Four problems are conceived which build on flows induced by moving boundaries. In the first problem, a stretching plate moves in the direction of stretching at speed $$u_0$$u0 and in the transverse direction at speed $$v_0$$v0. The second problem superposes uniform shear flow of strength $$\omega _2$$ω2 transverse to the stretching plate. The third problem superposes uniform shear flow of strength $$\omega _1$$ω1 in the direction of stretching or opposite to it. For the second and third problems, we find a one-parameter family of wall shear stresses $$\lambda $$λ that satisfy the plate and far-field conditions. For these cases, unique solutions are selected by the Glauert criterion which requires that the wall shear stress be that for which the solutions asymptotically match the far-field conditions of the flow displaced by the stretching sheet. The fourth problem is uniform shear flow above a radially stretching sheet. Here also a unique solution is selected by the Glauert criterion.