scholarly journals Variable-mesh difference equation for the stream function in axially symmetric flow

AIAA Journal ◽  
1964 ◽  
Vol 2 (1) ◽  
pp. 163-164
Author(s):  
J. C. LYSEN
Keyword(s):  
Difference Equation ◽  
Stream Function ◽  
Axially Symmetric ◽  
Symmetric Flow ◽  
Variable Mesh

scholarly journals The iterated equation of generalized axially symmetric potential theory. I. Particular solutions

1967 ◽  
Vol 7 (3) ◽  
pp. 263-276 ◽  
Author(s):  
J. C. Burns
Keyword(s):  
Potential Theory ◽  
Stream Function ◽  
Two Dimensional ◽  
Axially Symmetric ◽  
Symmetric Flow ◽  
Symmetric Potential ◽  
Dimensional Flow ◽  
Physical Problems ◽  
Two Dimensional Flow ◽  
Image Position

The iterated equation of generalized axially symmetric potential theory (GASPT) [1] is defined by the relations (1) where (2) and Particular cases of this equation occur in many physical problems. In classical hydrodynamics, for example, the case n = 1 appears in the study of the irrotational motion of an incompressible fluid where, in two-dimensional flow, both the velocity potential φ and the stream function Ψ satisfy Laplace's equation, L0(f) = 0; and, in axially symmetric flow, φ and satisfy the equations L1 (φ) = 0, L-1 (ψ) = 0. The case n = 2 occurs in the study of the Stokes flow of a viscous fluid where the stream function satisfies the equation L2k(ψ) = 0 with k = 0 in two-dimensional flow and k = −1 in axially symmetric flow.

Axially symmetric flow with free boundary

1995 ◽  
Vol 47 (4) ◽  
pp. 555-566 ◽  
Author(s):  
A. S. Minenko
Keyword(s):  
Free Boundary ◽  
Axially Symmetric ◽  
Symmetric Flow

Impingement of Under-Expanded Jets on a Flat Plate

1990 ◽  
Vol 112 (2) ◽  
pp. 179-184 ◽  
Author(s):  
J. Iwamoto
Keyword(s):  
Shock Wave ◽  
Flow Field ◽  
Flat Plate ◽  
Maximum Pressure ◽  
Axially Symmetric ◽  
Symmetric Flow ◽  
Reversed Flow ◽  
Pressure Distributions ◽  
Sonic Jet ◽  
Wave Forms

When an under-expanded sonic jet impinges on a perpendicular flat plate, a shock wave forms just in front of the plate and some interesting phenomena can occur in the flow field between the shock and the plate. In this paper, experimental and numerical results on the flow pattern of this impinging jet are presented. In the experiments the flow field was visualized using shadow-photography and Mach-Zehnder interferometry. In the numerical calculations, the two-step Lax-Wendroff scheme was applied, assuming inviscid, axially symmetric flow. Some of the pressure distributions on the plate show that the maximum pressure does not occur at the center of the plate and that a region of reversed flow exists near the center of the plate.

Sign in / Sign up

Export Citation Format

Share Document