• 상하수도학회지
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• 제23권6호
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• pp.825-832
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• 2009

A series of laboratory experiments has been performed to investigate the flow characteristics of 2-dimensional density currents induced by selective withdrawal, which is commonly suggested as a measure for removal of high turbid water from reservoirs. Saltwater has been used to simulate the density stratification over depth and PIV(Particel Image Velocimetry) for observing the velocity structure. Experimental conditions have been established according to Richardson number, which is the dimensionless number that expresses the ratio of potential to kinetic energy. From the experiments, the patterns of longitudinal decay of centerline axial velocity induced by the withdrawal have been distinguished from other experimental cases. The rate of longitudinal decay increase as the Richardson number increases. The variations of volumetric and momentum flux along the longitudinal axis have also shown to be dependent on Richardson number.

• 태양에너지
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• 제5권2호
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• pp.11-19
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• 1985

In this paper, the interface stability not to occur mixing and entrainment between the adjacent layers has been studied in the case of the selective withdrawal of a stratum and the injection in stratified fluid formed by the density difference in a small solar pond. There are stability parameter, Richardson number, Rayleigh number and Froude number as the parameters governing stability in order to measure the interface stability on the stratified fluid. The model which could measure the interface stability on the stratified fluid was the small solar pond composed by 1 meters wide, 2 meters high, and 5 meters long. In order to measure the interface stability on the stratified fluid at the inlet port, the middle section and the outlet port, Richardson number, Rayleigh number, and Froude number involved in the parameters governing the stability were calculated by means of the data resulted from the test of the study on hydrodynamic stability between the convective and nonconvective layers in that solar pond. Richardson number written by the ratio of inertia force to buoyancy force can be used in order to measure the stability on the stratified fluid related to the buoyancy force generated from the injection of fluid. Rayleigh number written by the product of Grashof number by Prandtl number can be used in order to measure the stability of the fluid related to the heat flux and diffusivity of viscosity. Froude number written by the ratio of gravity force to inertia force can be used in order to measure the stability of the nonhomogeneous fluid related to the density difference. As the result of calculating the parameters governing stability, the interface stability on the stratified fluid couldn't be identified below the 70cm height from the bottom of the solar pond, but it could be identified above the 70cm height from it at the inlet port, the middle section and the outlet port. When compared with such the three parameters as Richardson number, Rayleigh number, Froude number, the calculated result was in accord with them at inlet port, the middle section and the outlet port. Henceforth, it is learned that even though any of the three parameters is used for the purpose of measuring the interface stability on the stratified fluid, the result will be the same with them. It is concluded that all the use of Richardson number, Rayleigh number, and Froude number, is desirable and infallible to measure the interface stability on the stratified fluid in the case of considering the exist of the fluid flow and the heat flux like the model of the solar pond.

• 한국수자원학회논문집
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• 제47권8호
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• pp.703-715
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• 2014

본 연구는 Schmidt 수(${\sigma}_c$)에 따른 부유사의 부유 거동 변화 및 흐름 특성의 변화를 살펴본 후, 그에 따라 계산된 성층 흐름의 척도가 되는 Flux Richardson 수($Ri_f$)와 Gradient Richardson 수($Ri_g$)를 근거로 타당한 ${\sigma}_c$의 범위를 산정하는 것을 목적으로 수행되었다. 부유사의 종류를 점착성 유사와 비점착성 유사로 구분하였으며 진동 흐름과 흐름 조건을 가정하고 1차원 연직 수치 모형을 이용하여 수치 실험을 수행하였다. 이 과정에서 ${\sigma}_c$가 난류 감소효과와 관계되는 상수인 것에 근거하여 부유사의 존재로 인한 난류 감소효과 고려 여부에 따른 흐름 특성의 변화를 살펴보았다. 그 결과, 흐름 조건에 관계없이 ${\sigma}_c$의 크기에 따라 부유 거동이 일관된 경향을 나타내는 것이 확인 되었으며 난류 감소효과를 고려하지 않는 경우 유속 및 난류 에너지가 과대 산정 되는 결과가 나타났다. 부유로 인한 성층화 조건을 형성하는 $Ri_f$ 및 $Ri_g$의 범위에 기초하여 결과를 분석하고 ${\sigma}_c$가 0.3에서 0.5의 범위에 해당될 때 성층 흐름 내 유사의 수직 혼합이 유효하게 계산된다는 결론이 도출되었다.

• 대한기계학회논문집B
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• 제30권6호
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• pp.578-586
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• 2006

Numerical simulations are carried out to investigate the thermal effects of the gravitational potential on the centrifugal instability of a Taylor-Couette flow, and to further study the detailed flow fields and flow bifurcations to spiral vortices. The effects of centrifugal potential on the centrifugal instability are also investigated in the current study. Spiral vortices have various types of mode depending on Grashof number and Reynolds number. The correlation of Richardson number with the spiral angle of the spiral vortices shows that the structure of the spiral vortices strongly depends on the Richardson number. The heat transfer rate of the inner cylinder increases with increasing Grashof number. It is also confirmed that the torque required to rotate the inner cylinder increases as Grashof number increases.

• 대한기계학회논문집
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• 제9권6호
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• pp.767-776
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• 1985

본 연구에서는 초기 조건(입구 R$_{i}$수)의 변화에 따른 속도 분포, 온도 분 포, 확산율, 계면의 변화등을 연구하며, 난류 혼합과 계면의 불안정에 기인한 속도장 과 온도장의 변화과정을 가시화 사진과 비교 분석한다.다.

• 한국전산유체공학회지
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• 제14권3호
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• pp.16-24
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• 2009

Numerical simulation has been carried out to investigate the influence of radial temperature gradient on the Circular-Couette flow. Varying the Grashof number, we study the detailed flow and temperature fields. The current numerical results show good agreement with the analytical and experimental results currently available. It turns out that spiral vortices are generated by increasing temperature gradient. We classify the flow patterns for various Grashof number based on the characteristics of flow fields and spiral vortices. The correlation between Richardson number with wave number shows that the spiral angle and size of spiral vortices increase with increasing Richardson number.

• 한국해안·해양공학회논문집
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• 제24권3호
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• pp.149-158
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• 2012

본 연구는 강화도 서측에 위치한 조력 발전 유력 후보지인 석모수로의 북단과 남단의 2개 정선에서 13시간 연속으로 단면 유속과 염분 관측을 대,소조기시 각각 수행하여 단면 내 잔차류의 변화와 성층간의 관계를 분석 하였다. 석모수로의 염분 분포는 대,소조기에 따라 서로 다른 염분 구조 형태를 보이며, 염분의 침입 범위 또한 다르게 나타난다. 잔차류 성분은 13시간 유속 성분에서 최소 자승법을 이용하여 추출한 $M_2$분조와 $M_4$분조를 제거하여 구하였고, 석모수로 북단과 남단에서 표층의 잔차류 성분은 모두 남쪽 방향의 잔차류 성분을 보인다. 그러나 두 정선의 단면 저층에서는 표층과 저층간의 2층 흐름 구조를 만드는 북쪽 방향의 잔차류가 관측되는데 그 위치는 대,소조기에 따라 다르게 나타나 시,공간적으로 다른 결과를 보인다. 북쪽 방향의 잔차류와 성층의 관계를 분석하기 위해서 Richardson number와 Simpson-hunter index를 분석하였다. 이러한 결과를 종합할 때, 석모수로의 단면 잔차류 패턴은 Richardson number가 상대적으로 급격하게 커지고 Simpson-hunter index가 4 이상 나타나는 지역, 즉 성층이 강하게 나타나는 지역에서 2층 흐름 구조를 보인다.

• International Journal of Fluid Machinery and Systems
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• 제9권4호
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• pp.382-393
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• 2016

Flow over a bluff body is an attractive research field in thermal engineering. In the present study, laminar flow over a confined heated square cylinder using CuO-Water nanofluid is considered. Unsteady two-dimensional Navier-Stokes and energy equations are solved numerically using finite volume method (FVM). Recent correlations for the thermal conductivity and viscosity of nanofluids, which are function of nanoparticle volume fraction, temperature and nanoparticle diameter, have been employed. The results of numerical solution are obtained for Richardson number, nanoparticle volume fractions and nanoparticle diameters ranges of 0-1, 1-5% and 30-100 nm respectively for a fixed Reynolds number of Re = 150. At a given volume concentration, the investigations reveal that the decreasing in size of nanoparticles produces an increase in heat transfer rates from the square cylinder and a decrease in amplitude of the lift coefficient. Also, the increment of Nusselt number is more pronounced at higher concentrations and higher Richardson numbers.

• 대한토목학회논문집
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• 제31권6B호
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• pp.499-505
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• 2011

저수지내에서의 탁수층의 혼합거동은 연중 온도변화에 영향을 받으며, 특히 여름철에 발생하는 한 개 내지 두 개의 수온약층과 이에 따라 밀도가 다른 연직층 분포에 의해 변화한다. 이와 같은 밀도성층은 연직방향의 혼합을 제한하고 저수지내에서 다양한 수리학적인 거동을 야기한다. 따라서 저수지내에서는 특정 수질 문제를 해결하기 위해 선택취수를 수행할 수 있다. 본 연구에서는 이와 같은 선택취수의 효울을 해석하기 위하여 성층흐름의 수리학적 특성에 관한 실험연구를 수행하였다. two-tank 기법을 이용한 성층수조에서 밀도경사와 유량을 변수로 한 각 조건별 취수구 주변의 수리학적 특성을 입자영상유속계(PIV)를 이용하여 측정하였다. 측정된 유속장을 이용하여 Richardson 수에 따른 선택취수의 효율에 대한 상관관계를 제시하였다.

• Journal of Magnetics
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• 제18권3호
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• pp.321-325
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• 2013

The problem of mixed convection in a differentially heated lid-driven square cavity filled with Cu-water nanofluid under effect of a magnetic field is investigated numerically. The left and right walls of the cavity are kept at temperatures of $T_h$ and $T_c$ respectively while the horizontal walls are adiabatic. The top wall of the cavity moves in own plane from left to right. The effects of some pertinent parameters such as Richardson number (ranging from 0.1 to 10), the volume fraction of the nanoparticles (ranging 0 to 0.1) and the Hartmann number (ranging from 0 to 60) on the fluid flow and temperature fields and the rate of heat transfer in the cavity are investigated. It must be noted that in all calculations the Prandtl number of water as the pure fluid is kept at 6.8, while the Grashof number is considered fixed at 104. The obtained results show that the rate of heat transfer increases with an increase of the Reynolds number, while but it decreases with increase in the Hartmann number. Moreover it is found that based the Richardson and Hartmann numbers by increase in volume fraction of the nanoparticles the rate of heat transfer can be enhanced or deteriorated compared to the based fluid.