Numerical model for fluid spinup from rest in a partiallyfilled cylinder
Abstract
A theoretical investigation is presented for the axisymmetric spinup of fluid in a partiallyfilled cylindrical cavity. It is an extension of the earlier analyses of Wedemeyer, and of Goller and Ranov, to those cases where the liquid free surface intersects one or both endwalls. The simplifying assumptions of a columnar flow and the quasisteady treatment of the Ekman layer pumping of the secondary flow are retained. Earlier estimates of the laminar Ekman layer pumping are modified heuristically for situations where the layer(s) no longer covers the entire wall. Also, due to the very steep free surface contour in the latter stages of spinup, it was found advantageous to develop the free surface equations in an axial, rather than radial, coordinate frame. The equations are solved using a straightforward finitedifference algorithm. Numerical results for a range of Reynolds number, Froude number, and fill ratio are presented and discussed.
 Publication:

4th Fluid Mechanics, Plasma Dynamics and Lasers Conference
 Pub Date:
 May 1986
 Bibcode:
 1986fmpd.conf.....H
 Keywords:

 Computational Fluid Dynamics;
 Liquid Filled Shells;
 Liquid Sloshing;
 Rotating Cylinders;
 Rotating Liquids;
 Algorithms;
 Axisymmetric Flow;
 Ekman Layer;
 Finite Difference Theory;
 Froude Number;
 Reynolds Number;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer