Numerical simulation of unsteady incompressible flow in a partiallyfilled rotating cylinder
Abstract
The liquid flowfield in a full or partiallyfilled right circular cylinder in rapid axial rotation is investigated numerically. The governing equations are the axisymmetric, unsteady, viscous, incompressible NavierStokes equations. These equations are written in stream functionvorticity form for a cylindrical coordinate system in a nonrotating reference frame. The governing equations are discretized using secondorder finitedifferences for time and space on a nonuniform grid employing logarithmic stretching in regions where high flow gradients are anticipated. Time dependent solutions for Reynolds numbers between 1,000 and 100,000 have been obtained using a GaussSeidel relaxation procedure. For partially filled cases the free surface is assumed to be cylindrical and located at a constant radius from the axis of spin. Numerical solutions for full cylinders are consistent with previous solutions and experimental data. Numerical solutions for a partiallyfilled cylinder are consistent with experimental data for a liquid centrifuge except at the free surface. Computations of the roll moment exerted on the cylinder by the contained liquid shows a smaller moment for the partiallyfilled compared with the full cylinder results.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 June 1988
 Bibcode:
 1988STIN...8830073N
 Keywords:

 Digital Simulation;
 Flow Distribution;
 Incompressible Flow;
 Rotating Cylinders;
 Rotating Liquids;
 Unsteady Flow;
 Centrifuges;
 Computational Grids;
 Finite Difference Theory;
 Flow Equations;
 High Reynolds Number;
 Liquid Flow;
 Mathematical Models;
 NavierStokes Equation;
 Rolling Moments;
 Time Dependence;
 Fluid Mechanics and Heat Transfer