• Title/Summary/Keyword: Ekman pumping

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Study on the Periodic Flows in a Rectangular Container under a Background Rotation (직사각형 용기내의 주기유동에 관한 연구)

  • Park Jae Hyun;Suh Yong Kweon
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.325-328
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    • 2002
  • We present numerical and experimental result of the rotating flows inside a rectangular container under a background rotation. In numerical computation, a parallel-computation technique with MPI is implemented. Flow visualization and PIV measurement are also performed to obtain velocity fields at the free surface. Through a series of numerical and experimental works, we aim to clarify, if any, the fundamental reasons of discrepancy between the two-dimensional computation and the experimental measurement, which was detected in the previous study for the same flow model. Specifically, we check if the various assumptions prerequisite for the validity of the classical Ekman pumping law are satisfied for periodic flows under a background rotation.

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Three-Dimensional Numerical Computation and Experiment on Periodic Flows under a Background Rotation (배경회전하에서 형성되는 주기적 유동의 3차원 수치해석과 실험)

  • Suh, Yong-Kweon;Park, Jae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.5
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    • pp.628-634
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    • 2003
  • We present numerical and experimental results of periodic flows inside a rectangular container under a background rotation. The periodic flows are generated by changing the speed of rotation periodically so that a time-periodic body forces produce the unsteady flows. In numerical computation, a parallel-computation technique with MPI is implemented. Flow visualization and PIV measurement are also performed to obtain velocity fields at the free surface. Through a series of numerical and experimental works, we aim to clarify, if any, the fundamental reasons \ulcornerf discrepancy between the two-dimensional computation and the experimental measurement, which was detected in the previous study for the same flow model. Specifically, we check if the various assumptions prerequisite for the validity of the classical Ekman pumping law are satisfied for periodic flows under a background rotation.

Study on Fluid Flow in a Rectangular Container Subjected to a Background Rotation with a Rotational Oscillation Using PIV System (PIV를 이용한 바탕회전하에서 회전요동하는 직사각형 용기 내의 유동해석)

  • Suh, Yong-Kweon;Choi, Yoon-Hwan;Kim, Sung-Kyun;Lee, Du-Yeol
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.6
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    • pp.845-851
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    • 2000
  • In this paper, we show the numerical and the experimental results of two-dimensional fluid motions inside a rectangular container subjected to a background rotation added by a rotational oscillation. In the PlY experiment we apply a new algorithm, new three step search(NTSS), to the velocity calculation. In the numerical computation, the linear Ekman-pumping model was used to take the bottom friction effect into account. It was found that it well produces the experimental results at low e number.

Modeling of Circulation for the East Sea Using Reduced Gravity Models (감쇠중력 모형을 이용한 동해의 순환모델링)

  • Choi, Byung-Ho;Wang, Ou
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.9 no.3
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    • pp.105-114
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    • 1997
  • Wind is one of the main forcing contributing the circulation of the East Sea. By using 1.5-layer and 2.5-layer reduced gravity models, circulation in the East Sea is simulated. The bifurcation of the Tsushima Warm Current (TWC), the separation of East Korea Warm Current (EKWC) from the east coast of Korea, the Nearshore Branch of TWC, and the cyclonic gyres stretched from the East Korea Bay to the northern half of the East Sea are compared well with the schematic map. The features of the upper and the lower layer are very similar except for those of the central region. The Polar Front is the separating line of two different features. The main feature of northern part of the East Sea, north of the Polar Front is cyclonic gyres, which are composed of three cyclonic gyres in most seasons. North Korean Cold Current (NKCC) and Liman Cold Current (LCC) are the nearshore part of these cyclonic gyres. In the south of the Polar Front the current systems of both layers are anticyclonic in most seasons, except that those of the upper layer in winter and spring are not anticyclonic. Along the coast of Korea and Russia, the velocity structure is barotropic, while that of the central region is baroclinic. The effects due to the seasonal variations of wind stress and local Ekman suction/pumping are studied by imposing the domain with modified wind stress. which is spatial mean with temporal variations and temporal mean with spatial variations. It is found that the local Ekman suction/pumping due to wind stress curl is important to the formation of the cyclonic gyres in the western and the northwestern region of the East Sea.

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Numerical Study on the Motion of Azimuthal Vortices in Axisymmetric Rotating Flows

  • Suh, Yong-Kweon
    • Journal of Mechanical Science and Technology
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    • v.18 no.2
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    • pp.313-324
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    • 2004
  • A rich phenomenon in the dynamics of azimuthal vortices in a circular cylinder caused by the inertial oscillation is investigated numerically at high Reynolds numbers and moderate Rossby numbers. In the actual spin-up flow where both the Ekman circulation and the bottom friction effects are included, the first appearance of a seed vortex is generated by the Ekman boundary-layer on the bottom wall and the subsequent roll-up near the corner bounded by the side wall. The existence of the small vortex then rapidly propagates toward the inviscid region and induces a complicated pattern in the distribution of azimuthal vorticity, i.e. inertial oscillation. The inertial oscillation however does not deteriorate the classical Ekman-pumping model in the time scale larger than that of the oscillatory motion. Motions of single vortex and a pair of vortices are further investigated under a slip boundary-condition on the solid walls. For the case of single vortex, repeated change of the vorticity sign is observed together with typical propagation of inertial waves. For the case of a pair of vortices with a two-step profile in the initial azimuthal velocity, the vortices' movement toward the outer region is resisted by the crescent-shape vortices surrounding the pair. After touching the border between the core and outer regions, the pair vortices weaken very fast.

Flow Near a Rotating Disk with Surface Roughness (표면조도를 갖는 회전판 주위의 유동)

  • Park, Jun-Sang;Yoon, Myung-Sup;Hyun, Jae-Min
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.634-639
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    • 2003
  • It has been studied the flow near a rotating disk with surface topography. The system Ekman number is assumed very small, i.e., $E[{\equiv}\frac{\nu}{{\Omega}^{\ast}L^{\ast2}}]<<1$ in which $L^{\ast}$ denotes a disk radius, ${\nu}$ kinematic viscosity of the fluid and ${\Omega}^{\ast}$ angular velocity of the basic state. Disk surface has a sinusoidal topographic variation along radial coordinate, i.e., $z={\delta}cos(2{\pi}{\omega}r)$, where ${\delta}$ and ${\omega}$ are, respectively, nondimensional amplitude and wave number of the disk surface. Analytic solutions, being useful over the parametric ranges of ${\delta}{\sim}O$( $E^{1/2}$ ) and ${\omega}{\leq}O$ ( $E^{1/2}$ ), are secured in a series-function form of Fourier-Bessel type. An asymptotic behavior, when $E{\rightarrow}0$, is clarified as : for a disk with surface roughness, in contrast to the case of a flat disk, the azimuthal velocity increases in magnitude, together with the thickening boundary layer. The radial velocity, however, decreases in magnitude as the amplitude of surface waviness increases. Consequently, the overall Ekman pumping at the edge of the boundary layer remains unchanged, maintaining the constant value equal to that of the flat disk.

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Numerical Analysis and Flow Visualization for Spin-up in a Half-Cylinder (반 원주 내의 스핀업 유동에 대한 수치해석 및 유동 가시화)

  • Suh Yong Kweon;Yeo Chang Ho
    • 한국가시화정보학회:학술대회논문집
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    • 2003.11a
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    • pp.71-74
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    • 2003
  • In this paper, we report the numerical and experimental results in a half-cylinder. In the numerical computation, we used the zonal embedded grid system. Flow visualization for the spin-up flows was used by PIV. The results show that at left hand side an cyclonic cell moves along a wall and separates into both cells at right hand side.

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Application of the Ventilation Theory to the East Sea

  • Seung, Young-Ho
    • Journal of the korean society of oceanography
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    • v.32 no.1
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    • pp.8-16
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    • 1997
  • The ventilation theory developed by Luyten, Pedlosky and Stommel (1983) is applied to the East Sea to understand the general circulation pattern of the Intermediate Water, especially the ventilated circulation beneath the Tsushima Warm Current. The original model is slightly modified such that it takes the inflow-outflow of the Tsushima Current into consideration. Results of the model indicate that for sufficiently strong Ekman pumping, the Intermediate Water circulates cyclonically by ventilation. The Intermediate Water subducts beneath the Tsushima Warm Water through the western boundary layer. Off the western boundary layer, it turns northward, outcrops to the north by passing the polar front and continues to flow northward until it finally is absorbed by the northern boundary layer. This result seems to be compatible with some recent observations. Over the ventilated area, the transport of the Tsushima Current is negligible and most transport occurs in the shadow area where the Intermediate layer is motionless indicating that, over the deep motionless layer, the two-layered vertical structure under consideration becomes substantially single-layered.

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Study on the Spin-up of Fluid in a Semi-Circular Container Using a Zonal-Embedded-Grid Method (국소적 격자 삽입법을 이용한 반원주 내의 스핀업 유동 특성에 대한 연구)

  • Suh Yong Kweon;Yeo Chang Ho
    • Journal of the Korean Society of Visualization
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    • v.2 no.2
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    • pp.32-37
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    • 2004
  • In this paper the numerical method with a zonal embedded grid system for an incompressible flow within a semi-circular container is presented. The algorithm is validated by its application to some typical flow models including the spin-up flow inside a semi-circular geometry. Flow visualization for the spin-up flows was used by PIV. The results show that at high Reynolds numbers the cyclonic cell at the left-hand side region moves along the circular wall and merges with the cell at the right-hand side region.

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