Tl. Jiang et Ch. Shen, NUMERICAL PREDICTIONS OF THE BIFURCATION OF CONFINED SWIRLING FLOWS, International journal for numerical methods in fluids, 19(11), 1994, pp. 961-979
The bifurcation of confined swirling flows was numerically investigate
d by employing both the k-epsilon and algebraic stress turbulence mode
ls. Depending upon the branch solution examined, dual flow patterns we
re predicted at certain swirl levels. In the lower-branch solution whi
ch is obtained by gradually increasing the swirl level from a low-swir
l flow, the flow changes with increasing swirl number from the low-swi
rl flow pattern to a high-swirl flow pattern. In the upper-branch solu
tion which is acquired by gradually decreasing the swirl level from a
high-swirl flow, on the other hand, the flow can maintain itself in th
e high-swirl flow pattern at the swirl levels where it exhibits the lo
w-swirl flow pattern in the lower branch. The bifurcation of confined
swirling flows was predicted with either the k-epsilon model or the al
gebraic stress model being employed. Both the k-epsilon and algebraic
stress models result in comparable and sufficiently good predictions f
or confined swirling hows if high-order numerical schemes are used. Th
e reported poor performance of the k-epsilon model was clarified to be
mainly attributable to the occurrence of the bifurcation and the use
of low-order numerical schemes.