Rl. Kimmel et al., 3-DIMENSIONAL HYPERSONIC LAMINAR BOUNDARY-LAYER COMPUTATIONS FOR TRANSITION EXPERIMENT DESIGN, Journal of spacecraft and rockets, 34(4), 1997, pp. 409-415
The stability of boundary layers on sharp-nosed cones with elliptical
cross sections is assessed using Linear stability theory and crossflow
correlations. The objective is to identify a configuration for wind-t
unnel testing that exhibits significant crossflow but also possesses a
sufficient laminar region for boundary-layer stability probing. Parab
olized Navier-Stokes computer codes were used to calculate the mean fl
ow about cones with eccentricities of 1.5:1, 2.0:1, and 4.0:1 at a fre
estream Mach number of 7.95 and freestream unit Reynolds number of 3.3
x 10(6) m(-1). Correlations indicated that transition was possible on
each configuration at the above conditions. All three configurations
showed unstable, inflectional velocity profiles and boundary-layer thi
ckening along the centerline (minor axis) due to the influx of low-mom
entum fluid. Crossflow separation was observed on the 2.0:1 configurat
ion. Linear stability theory was used to calculate stationary crossflo
w N factors on all three configurations, and to calculate traveling-wa
ve N factors on the 1.5:1 and 2.0:1 configurations. All three configur
ations showed crossflow instability, with the 4.0:1 configuration atta
ining the highest N factors. The 1.5:1 and 2.0:1 configurations were u
nstable to a broad spectrum of traveling waves, with the highest N fac
tors attained on centerline, due to the unstable profiles there.