Author:
MINKOV E.,UNGARISH M.,ISRAELI M.
Abstract
Numerical finite-difference results of the full axisymmetric incompressible
Navier–Stokes equations are presented for the problem of the slow axial motion of a disk
particle in an incompressible, rotating fluid in a cylindrical container. The governing
parameters are the Ekman number, E, the Rossby number, Ro, and the dimensionless
height of the container, H (with respect to the diameter of the particle). The study
concerns small values of E, Ro, and HE−1/2
and compares the numerical results with predictions of previous analytical (mostly
approximate) studies. Special attention is focused on the drag force. First, developed
(quasi-steady state) cases are considered. Excellent agreement with the exact linear
(Ro = 0) solution of Ungarish & Vedensky (1995) is obtained when the
computational Ro = 10−4. The effects of the nonlinear momentum
advection terms are analysed and shown to be proportional to
RoE−1/2. Next, the time-development for both (a)
impulsive start and (b) start under a constant axial force are considered, and good
qualitative agreement with previous analytical results (including the appearance of
oscillations in case (b)) is indicated.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
9 articles.
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