Liquid film on an unsteady stretching surface. (English) Zbl 0714.76036

Summary: A fluid film lies on an accelerating stretching surface. A similarity transform reduces the unsteady Navier-Stokes equations to a nonlinear ordinary differential equation governed by a nondimensional unsteady parameter. Asymptotic and numerical solutions are found. The results represent rare exact similarity solutions of the unsteady Navier-Stokes equations.


76D08 Lubrication theory
35Q30 Navier-Stokes equations
Full Text: DOI