Calculation of liquid spin-up in cylindrical vessels

The spin-up from rest of a liquid with an impulsive start has been calculated for cylindrical vessels with constant and variable radius side walls. For all cases, large amplitude inertial oscillations of the angular momentum at a given point occur in the vessel; however, the particular flow pattern is extremely sensitive to the side wall geometry. The inertial oscillations are the result of trying to force high angular momentum fluid into smaller radius locations in the cylinder, and there are also serious numerical problems associated with the oscillations. These numerical problems are the result of a lack of resolution of time-dependent shear layers and can only be solved with an adaptive gridding method.