Wj. Solomon et al., TRANSITION LENGTH PREDICTION FOR FLOWS WITH RAPIDLY CHANGING PRESSURE-GRADIENTS, Journal of turbomachinery, 118(4), 1996, pp. 744-751
A new method for calculating intermittency in trasitional boundary lay
ers with changing pressure gradients is proposed and tested against st
andard turbomachinery flow cases. It is based on recent experimental s
tudies, which show the local pressure gradient parameter to have a sig
nificant effect on turbulent spot spreading angles and propagation vel
ocities (and hence transition length). This can be very important for
some turbomachinery flows. On a turbine blade suction surface, for exa
mple, it is possible for transition to start in a legion of favorable
pressure gradient and finish in a region of adverse pressure gradient.
Calculation methods that estimate the transition length from the loca
l pressure gradient parameter at the start of transition will seriousl
y overestimate the transition length under these conditions. Conventio
nal methods based on correlation overestimate pressure gradient transi
tion data are similarly inaccurate. The new calculation method continu
ously adjusts the spot growth parameters in response to changes in the
local pressure gradient through transition wing correlations based on
data given in the companion paper by Gostelow et al. (1996). Recent e
xperimental correlations of Gostelow et al. (1994a) are used to estima
te the turbulent spot generation rate at the start of transition. The
method has been incorporated in a linear combination integral computat
ion and tested with good results on cases that report both the intermi
ttency and surface pressure distribution data. It has resulted in a mu
ch reduced sensitivity to errors in predicting the start of the transi
tion zone, and can be recommended for engineering use in calculating b
oundary layer development on axial turbomachine blades.