Accuracy of an Inverse Method of Characteristics for Multidimensional Steady Supersonic Flow

1978 ◽  
pp. 42-54
Author(s):  
H. H. Frühauf
Keyword(s):  
Supersonic Flow ◽  
Inverse Method ◽  
Method Of Characteristics

3D inverse method of characteristics for hypersonic bump-inlet integration

2020 ◽  
Vol 166 ◽  
pp. 11-22 ◽  
Author(s):  
Zonghan Yu ◽  
Guoping Huang ◽  
Chen Xia
Keyword(s):  
Inverse Method ◽  
Method Of Characteristics

Axially-symmetrical supersonic flow near the centre of an expansion

1950 ◽  
Vol 2 (2) ◽  
pp. 127-142 ◽  
Author(s):  
N.H. Johannesen ◽  
R.E. Meyer
Keyword(s):  
Approximate Solution ◽  
Supersonic Flow ◽  
Conventional Method ◽  
Velocity Gradient ◽  
Method Of Characteristics ◽  
Simple Wave ◽  
Two Dimensional ◽  
Perfect Gas ◽  
Initial Curvature ◽  
Boundary Wall

SummaryWhen a uniform, two-dimensional supersonic flow expands suddenly round a corner in a wall it forms a pattern known as a Prandtl-Meyer expansion or centred simple wave. If the flow is two-dimensional but not initially uniform, or if it is axially-symmetrical, the expansion is still centred, but is not a simple wave. An approximate solution is given in this paper for the isentropic, irrotational, steady two-dimensional or axially-symmetrical flow of a perfect gas in the neighbourhood of the centre of such an expansion. The solution is designed to replace the conventional method of characteristics in such a region.The main application is to a jet issuing from a nozzle that discharges into a container with a pressure lower than that in the nozzle; in particular, a formula is derived for the initial curvature, at the lip of the nozzle, of the boundary of the jet. The solution also applies to the flow near an edge in a boundary wall, and a formula is derived for the velocity gradient on the wall immediately downstream of the edge.

Computational Analysis of the Transonic Flow Field of Two-Dimensional Minimum Length Nozzles

1991 ◽  
Vol 113 (3) ◽  
pp. 479-488 ◽  
Author(s):  
B. M. Argrow ◽  
G. Emanuel
Keyword(s):  
Supersonic Flow ◽  
Flow Field ◽  
Method Of Characteristics ◽  
Reynolds Numbers ◽  
Boundary Layer Separation ◽  
Minimum Length ◽  
Two Dimensional ◽  
Sonic Line ◽  
Inlet Geometry ◽  
Straight Sonic Line

The method of characteristics is used to generate supersonic wall contours for two-dimensional, straight sonic line (SSL) and curved sonic line (CSL) minimum length nozzles for exit Mach numbers of two, four and six. These contours are combined with subsonic inlets to determine the influence of the inlet geometry on the sonic-line shape, its location, and on the supersonic flow field. A modified version of the VNAP2 code is used to compute the inviscid and laminar flow fields for Reynolds numbers of 1,170, 11,700, and 23,400. Supersonic flow field phenomena, including boundary-layer separation and oblique shock waves, are observed to be a result of the inlet geometry. The sonic-line assumptions made for the SSL prove to be superior to those of the CSL.

Method of Characteristics for supersonic flow of a guiding centre plasma

1972 ◽  
Vol 7 (1) ◽  
pp. 87-98 ◽  
Author(s):  
Y. C. Whang
Keyword(s):  
Supersonic Flow ◽  
Acoustic Waves ◽  
Method Of Characteristics ◽  
Three Dimensional ◽  
Oblate Spheroid ◽  
The Moon ◽  
Characteristic Theory ◽  
Analytic Expression ◽  
Field Lines ◽  
Macroscopic Equations

A study of the compressive magneto-acoustic waves in a guiding centre plasma shows that the wave-front that emerges from a point disturbance after a finite time is a simple oblate spheroid with the axis of revolution parallel to the field lines. Thus, in a steady three-dimensional supersonic flow of guiding centre plasma a simple analytic expression can be obtained to represent the characteristic surfaces. From a proper linear combination of the governing macroscopic equations, the characteristic equation is obtained. It represents the propagation of disturbances on the characteristic surface. The characteristic theory can be used to study the interaction of the solar wind with the moon and possibly with other planetary bodies.

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