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- W2061043448 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." @default.
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- W2061043448 date "2000-06-25" @default.
- W2061043448 modified "2023-10-14" @default.
- W2061043448 title "The motion generated by a rising particle in a rotating fluid – numerical solutions. Part 1. A short container" @default.
- W2061043448 doi "https://doi.org/10.1017/s0022112000008351" @default.
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