Numerical simulations are presented of the steady-state airflow over a hemi
sphere cylinder of 1-m radius having hypersonic Mach numbers, where vibrati
onal relaxation is the dominant mechanism and the dissociation of oxygen is
small. A Mach 6.5 Row was analyzed at freestream pressure of 50 Pa with a
nonequilibrium freestream translational temperature of 300 K and vibrationa
l temperature of 4000 K; a Mach 1.5 flow was also studied to delineate effe
cts of vibration-translation (V-T) energy losses due to N-2-O collisions, T
he effects on the vibrational population distribution, temperature, and pre
ssure in the flowfield were studied for various media: pure nitrogen and ai
r mixtures of 0.0001, 0.1, and 1% oxygen atoms, Code validation was perform
ed with previously reported computational results and experimental data for
equilibrium Row in freestream, but nonequilibrium in the shock layer, An u
pwind difference numerical scheme was used to solve the inviscid Euler equa
tions coupled to a vibrational kinetics model of N-2, assumed as an anharmo
nic oscillator of 40 quantum levels. The shock-standoff distance comparison
with experimental data for a Mach 7.7 and 8.6 airflow past a blunt body sh
owed good agreement. For the Mach 1.5 flow at nonequilibrium freestream con
ditions, the high efficiency of the V-T rates of N-2-O collisions introduce
s additional heating in the shock layer for 0.1% and higher atomic oxygen,
thus increasing the shock-standoff distance; for the Mach 6.5 flow, a 0.1%
atomic oxygen in air decreases the translational temperature in air compare
d to that of pure nitrogen in the stagnation region.