Numerical Study on Inertial Oscillations in the Spin-up of Fluid in a Circular Cylinder

J. Ocean Eng. Technol. 2001;15(3):9-19.

원통 내 스핀업 유동에서의 관성진동에 관한 수치해석적 연구

서용권

동아대학교 기계산업시스템공학부

Keywords: Inertial oscillation, Spin-up, Circular cylinder, Ekman pumping/suction

핵심용어: 관성진동, 스핀업, 원통, 에크만 분출/흡입

Abstract

In this paper we present the aspect of inertial oscillation typically observed in the spin-up of fluids at low Rossby numbers in a circular cylinder. Numerical computations for the quasi three-dimensional equation as well as one-dimensional equation are performed to estimate the predictability of the one-dimensional equation with Ekman pumping/suction models. It is assumed that the discrepancy between the two results may be attributed to the inertial oscillation The detailed analysis to the numerical results reveals that the axial plane is dominated by a comparatively strong oscillatory flows caused by the inertial oscillation. In view of the fact that the time-averaged flow field however agrees to the Taylor-Proudman theorem, it is recommended that further analysis is needed to obtain an improved one-dimensional model like the Reynolds-averaged Navier-Stokes equation for turbulent flows.