This paper presents a rigorous proof of the existence of steady flows in a channel either with no-slip at one wall and constant uniform suction or injection through another wall, or with two accelerating walls. The flows are governed by the fourth order nonlinear differential equation
In the former case, the flow is subject to the boundary conditions
In the latter case, the boundary conditions are
Published November 12, 1998.
Mathematics Subject Classifications: 34B15, 76D05.
Key words and phrases: laminar flow, similarity solutions, Navier-Stokes equations.
Show me the PDF file (152K), TEX file, and other files for this article.