Time asymptotic solutions of blunt-body stagnation-region flows withnongray emission and absorption of radiation

1968 ◽  
Author(s):  
L. CALLIS
Keyword(s):  
Blunt Body ◽  
Asymptotic Solutions ◽  
Stagnation Region

Effect of radiative heat loss on steady hypersonic flow past a blunt body

1967 ◽  
Vol 29 (3) ◽  
pp. 485-494 ◽  
Author(s):  
M. I. G. Bloor
Keyword(s):  
Numerical Solution ◽  
Heat Loss ◽  
Blunt Body ◽  
Radiative Heat ◽  
Constant Density ◽  
Axially Symmetric ◽  
Radiative Heat Loss ◽  
Stagnation Region ◽  
Expansion Procedure ◽  
Axis Of Symmetry

Using the grey gas approximation, the effect of radiative heat loss on axially symmetric flows is studied. Using an expansion procedure about the axis of symmetry, a numerical solution for the stagnation region is found taking the shock to be spherical. The results of this calculation are compared with the results of Lighthill's non-radiative constant density solution.

On the stability of two-dimensional stagnation flow

1970 ◽  
Vol 44 (3) ◽  
pp. 461-479 ◽  
Author(s):  
J. Kestin ◽  
R. T. Wood
Keyword(s):  
Blunt Body ◽  
Theoretical Estimate ◽  
Three Dimensional ◽  
Liouville Problem ◽  
Radius Of Curvature ◽  
Two Dimensional ◽  
Stagnation Flow ◽  
Stagnation Region ◽  
Free Stream Turbulence ◽  
The Stability

The paper examines the stability of the uniform flow which approaches a two-dimensional stagnation region formed when a cylinder or a two-dimensional blunt body of finite curvature is immersed in a crossflow. It is shown that such a flow is unstable with respect to three-dimensional disturbances. This conclusion is reached on the basis of a mathematical analysis of a simplified form of the disturbance equation for the stream-wise component of the vorticity vector. The ultimate, or stable, flow pattern is governed by a singular Sturm–Liouville problem whose solution possesses a single eigenvalue. The resulting flow is one in which a regularly distributed system of counter-rotating vortices is super-imposed on the basic, Hiemenz-like pattern of streamlines. The spacing of the vortices is a unique function of the characteristics of the flow, and a theoretical estimate for it agrees well with experimental results. The analysis is extended heuristically to include the effect of free-stream turbulence on the spacing.The problem is similar to the classical Görtler–Hämmerlin study of the stability of stagnation flow against an infinite flat plate, which revealed the existence of a spectrum of eigenvalues for the disturbance equation. The present analysis yields the same result when an infinite radius of curvature is assumed for the blunt body.

Stagnation-Point Heat Transfer: The Effect of the First Damko¨hler Similarity Parameter

1972 ◽  
Vol 94 (4) ◽  
pp. 410-414 ◽  
Author(s):  
A. Alkidas ◽  
P. Durbetaki
Keyword(s):  
Heat Transfer ◽  
Blunt Body ◽  
Combustible Mixture ◽  
Surface Heat ◽  
Arrhenius Law ◽  
Governing Equations ◽  
Similarity Parameter ◽  
Stagnation Region ◽  
Kinetics Of ◽  
Temperature Surface

The present study considers the heat interaction between a combustible mixture and a constant-temperature surface near the stagnation region of a blunt body. The steady-state governing equations have been solved numerically for the case of Le = 1. A second-order Arrhenius law is assumed to describe the chemical kinetics of the mixture. The first Damko¨hler similarity parameter is shown to critically influence the surface heat transfer. The parameter represents a measure of the convective time to the chemical time.

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