N. Matsuda et al., Comparison of numerical analysis based on stream functions with experimetal results for the low frequency fluctuations in an agitated vessel, KAG KOG RON, 27(3), 2001, pp. 386-391
Four independent stream functions which satisfied the boundary conditions w
ere presumed for an agitated vessel. Differential equations for the stream
functions, which were derived from the Navier Stokes equation, were solved
numerically. An analysis of the cross-correlation of the velocity component
s showed that the low frequency fluctuations in the flow corresponded to la
rge-scale flow patterns over the entire vessel. The correspondence was also
observed experimentally. The period of the low frequency motion was about
34 times that oi the external input stream function, which agreed with the
value of 20-30 times the blade passage frequency that was found experimenta
lly. The increase in the number of the stream functions from 3 to 4 contrib
uted to describing the characteristics of the local phenomena in the flow r
ather than to changing the dynamics, as was shown bp the results of the fre
quency analysis and the mutual correlation function. It was confirmed that
this deterministic analysis with the small number of variables was very eff
ective to predict the dynamic behavior for the low frequency fluctuations i
n an agitated vessel.