Affiliation:
1. Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093, USA
Abstract
Summary
In this article, axisymmetric solutions of the Navier–Stokes equations governing the flow induced by a half-line source when the fluid domain is bounded by a conical wall are discussed. Two types of boundary conditions are identified; one in which the radial velocity along the axis is prescribed, and the other in which the radial velocity along the axis is obtained as an eigenvalue of the problem. The existence of these solutions is limited to a range of Reynolds numbers, and the transition from one case to the other is discussed in detail.
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference19 articles.
1. New exact solution of the Navier–Stokes equations;Landau;Dokl. Akad. Nauk SSSR,1944
2. The round laminar jet;Squire;Q. J. Mech. Appl. Math.,1951
3. On a class of laminar viscous flows within one or two bounding cones;Morgan;Aeronaut. Quart.,1956
4. Counterflows