대한기계학회논문집B (Transactions of the Korean Society of Mechanical Engineers B)

  • 제30권6호
  • /
  • Pages.568-577
  • /
  • 2006
  • /
  • 1226-4881(pISSN)
  • /
  • 2288-5324(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지
DOI QR코드

DOI QR Code

비선형 Ekman 펌핑 모델의 개발

Development of a Nonlinear Ekman Pumping Model

  • 서용권 (동아대학교 기계공학부) ;
  • 박재현 (동아대학교 대학원 기계공학부)
  • 발행 : 2006.06.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Developed in this study is a nonlinear Ekman pumping model to be used in simulating the rotating flows with quasi-three-dimensional Navier-Stokes equations. In this model, the Ekman pumping velocity is given from the solution of the Ekman boundary-layer equations for the region adjacent to the bottom wall of the flow domain; the boundary-layer equations are solved in the momentum-integral form. The developed model is then applied to rotating flows in a rectangular container receiving a time-periodic forcing. By comparing our results with the DNS and experimental data we have validated the developed model. We also compared our results with those given from the classical Ekman pumping model. It was found that our model can predict the rotating flows more precisely than the classical linear model.

키워드

참고문헌

  1. Greenspan, H.P. and Howard, L.N., 1963, 'On a Time Dependent Motion of a Rotating Fluid,' J. Fluid Meeh., Vol. 17, pp.385-404 https://doi.org/10.1017/S0022112063001415
  2. van Heijst, G.J.F., 1989, 'Spin-up Phenomena in Non-axisymmetric Containers,' J. Fluid Meeh., Vol. 206, pp. 171-191 https://doi.org/10.1017/S0022112089002272
  3. Zavala sanson, L. and van Heijst, G.J.F., 2000, 'Nonlinear Ekman Pumping Effects in Rotating Barotropic Flows,' J. Fluid Mech., Vol. 412, pp. 75-91 https://doi.org/10.1017/S0022112000008193
  4. Sub, Y.K. and Choi, Y.H., 2002, 'Study on the Spin-up of Fluid in a Rectangular Using Ekman Pumping Models,' J. Fluid Meeh., Vol. 458, pp. 103-132 https://doi.org/10.1017/S0022112002007826
  5. Sub, Y.K., Choi, Y.H., Kim, S.K. and Lee, D.Y., 2000, 'Study on Fluid Flow in a Rectangular Container Subjected to a Background Rotation with a Rotational Oscillation Using PIV System,' Trans. of the KSME(B), Vol. 24, No.6, pp. 845-851
  6. Andersen, A., Lautrup, B. and Bohr, T., 2003, 'An Averaging Method for Nonlinear Laminar Ekman Layers,' J. Fluid Mech., Vol. 487, pp. 81-90 https://doi.org/10.1017/S0022112003004658