Nonequilibrium blunt-body flow using the method of integral relations

AIAA Journal ◽  
1964 ◽  
Vol 2 (6) ◽  
pp. 1062-1071 ◽  
Author(s):  
W. C. L. SHIH ◽  
J. R. BARON
Keyword(s):  
Blunt Body ◽  
Method Of Integral Relations ◽  
Integral Relations

Nonadiabatic Flow Around Blunt Bodies at Hyperbolic Speeds

1970 ◽  
Vol 37 (2) ◽  
pp. 461-466
Author(s):  
H. S. Bluston
Keyword(s):  
Shock Layer ◽  
Blunt Body ◽  
Energy Equation ◽  
Numerical Results ◽  
Temperature Profiles ◽  
Differential Approximation ◽  
Blunt Bodies ◽  
Method Of Integral Relations ◽  
Nonadiabatic Effects ◽  
Integral Relations

This investigation applies Belotserkovskii’s method of integral relations to the nonadiabatic, self-absorbing radiative flow of a gray gas about a sharp-cornered blunt body. The radiative quantities are represented by means of the “differential approximation.” Nonadiabatic effects are included both in the energy equation and in the shock layer temperature profiles. Numerical results are presented for flow about an Apollo-type capsule reentering the Earth’s atmosphere at an altitude of 190,000 ft and a velocity of 48,000 fps.

scholarly journals Application of the Method of Integral Relations to the Calculation of Two-Dimensional Incompressible Turbulent Boundary Layer

1981 ◽  
Vol 48 (4) ◽  
pp. 701-706 ◽  
Author(s):  
W.-S. Yeung ◽  
R.-J. Yang
Keyword(s):  
Experimental Data ◽  
Boundary Layer ◽  
Turbulent Boundary Layer ◽  
Pressure Gradient ◽  
Numerical Solutions ◽  
Experimental Results ◽  
Two Dimensional ◽  
Incompressible Turbulent Boundary Layer ◽  
Method Of Integral Relations ◽  
Integral Relations

The orthonormal version of the Method of Integral Relations (MIR) was applied to solve for a two-dimensional incompressible turbulent boundary layer. The flow was assumed to be nonseparating. Flows with favorable, unfavorable, and zero pressure gradient were considered, and comparisons made with available experimental data. In general, the method predicted very well the experimental results for flows with favorable or zero pressure gradient; for flows with unfavorable pressure gradient, it predicted the experimental data well only up to a certain distance from the initial station. This result is due to the flow not being in equilibrium beyond that distance. Finally, the scheme was shown to be efficient in obtaining numerical solutions.

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