Stagnation-point velocity distribution for a compressible fluid

AIAA Journal ◽  
1965 ◽  
Vol 3 (4) ◽  
pp. 762-764
Author(s):  
ROBERT A. GRAFF
1965 ◽  
Vol 69 (654) ◽  
pp. 407-408 ◽  
Author(s):  
D. R. Topham

When stagnation heat transfer rates are expressed in terms of free stream flow properties, the following combination of terms is found to occur: —where ps pressure at the stagnation pointp∞free stream pressureU∞free stream velocityDnose diameterßstagnation point velocity gradient.


AIAA Journal ◽  
1969 ◽  
Vol 7 (10) ◽  
pp. 2040-2041 ◽  
Author(s):  
LARRY L. TRIMMER ◽  
EDWARD L. CLARK

1982 ◽  
Vol 24 (3) ◽  
pp. 113-117 ◽  
Author(s):  
T. Saitoh ◽  
S. Ishiguro

A transient analysis was performed for extinction of the counter flow diffusion flame utilizing the assumptions of inviscid, incompressible, and laminar stagnation-point boundary layer flows. The unsteadiness was induced via linear time variation of the stagnation point velocity gradient. The physical meaning of the middle solution of the quasi-steady theory was clarified. The effects of acceleration and deceleration of the flow were examined and it was found that strong acceleration tends to support the flame up to a small Damkohler number, which implies that the flame strength becomes large for flames under acceleration.


The theory of compressible flow in a laminar boundary layer has been developed for the case when the viscosity is assumed to be proportional to the absolute temperature and the Prandtl number is unity. (These assumptions may be compared with the empirical relations u∝ oc T® and σ = 0*715 suggested by Cope.) It is shown that a transformation of the ordinate normal to the layer can lead to a simplified form of equation of motion very similar to the ordinary incompressible equation but modified by a multiplicative factor G in the pressure term. This factor is greater than unity at the boundary and tends to one at the outside of the layer. Several particular solutions are considered including accelerated flow with a linearly increasing velocity and retarded flow along a flat plate with a linearly decreasing velocity. The general implications of the theory are discussed and qualitative conclusions are drawn when the mainstream velocity starts from a stagnation point, rises to a maximum and subsequently falls. It is concluded that for such a velocity distribution increasing compressibility will reduce the skin friction, increase the boundary layer thickness and cause earlier separation as compared with the incompressible flow with the same mainstream velocity distribution and the kinematic viscosity corresponding to conditions at the stagnation point.


1997 ◽  
Vol 79 (21) ◽  
pp. 4159-4161 ◽  
Author(s):  
G. Falkovich ◽  
V. Lebedev

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