Sonic and subsonic axisymmetric nozzle flows

Journal Article · Sun Aug 01 04:00:00 EDT 1999 · SIAM Journal on Applied Mathematics (Society for Industrial and Applied Mathematics)

DOI:https://doi.org/10.1137/S0036139997327356· OSTI ID:20000622

Cook, L P; Newman, E; Rimbey, S; Schleiniger, G

In this paper the authors consider steady, inviscid, compressible, axisymmetric flow from nozzles. The study of nozzle flows is important for a variety of engineering applications. Here, the boundary value problems governing compressible, steady, inviscid, axisymmetric flow from a nozzle are formulated and solved numerically. The Legendre, or contact, potential formulation is used in the hodograph plane to determine flows that are at most sonic. The complication for axisymmetric flow is the nonlinearity of the governing hodograph equations which are linear in the two-dimensional case. A small disturbance formulation of this problem, applicable for small angle nozzles and nearly sonic conditions, is also presented. This has a simpler mathematical framework and provides a check of the appropriate exact results. The larger goal of this research is to provide insight and a workable framework for more general axisymmetric transonic flows.

• Research Organization: Univ. of Delaware, Newark, DE (US)
• OSTI ID: 20000622
• Journal Information: SIAM Journal on Applied Mathematics (Society for Industrial and Applied Mathematics), Journal Name: SIAM Journal on Applied Mathematics (Society for Industrial and Applied Mathematics) Journal Issue: 5 Vol. 59; ISSN SMJMAP; ISSN 0036-1399
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
BOUNDARY-VALUE PROBLEMS
COMPRESSIBLE FLOW
IDEAL FLOW
NOZZLES
NUMERICAL SOLUTION
STEADY FLOW
SUBSONIC FLOW
TRANSONIC FLOW