Supersonic air flow past a sphere with account for vibrational relaxation |
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Authors: | V P Stulov L I Turchak |
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Institution: | (1) Institute of Mechanics, Moscow State University, USSR |
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Abstract: | A numerical solution is obtained for the problem of air flow past a sphere under conditions when nonequilibrium excitation of the vibrational degrees of freedom of the molecular components takes place in the shock layer. The problem is solved using the method of 1]. In calculating the relaxation rates account was taken of two processes: 1) transition of the molecular translational energy into vibrational energy during collision; 2) exchange of vibrational energy between the air components. Expressions for the relaxation rates were computed in 2]. The solution indicates that in the state far from equilibrium a relaxation layer is formed near the sphere surface. A comparison is made of the calculated values of the shock standoff with the experimental data of 3].Notation uVmax, vVmax
velocity components normal and tangential to the sphere surface
- Vmax
maximal velocity
- P
V
max
2
pressure
-
density
- TT
temperature
- eviRT
vibrational energy of the i-th component per mole (i=–O2, N2)
- =rb–1
shock wave shape
-
a
f
the frozen speed of sound
- HRT/m
gas total enthalpy |
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Keywords: | |
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