• Journal of the korean society of oceanography
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• 제31권4호
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• pp.173-182
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• 1996

A median-density fluid was injected into the upper layer of a two-layered fluid in a rotating cylindrical container. Several sets of the top and bottom boundary configurations were employed and the flow pattern of each layer including the injected fluid was observed to determine the factors that affect the path of the injected intermediate fluid. The axisymmetric path of the intermediate fluid when the upper layer had a free surface, changed into the asymmetric path with bulged-shape radial spreading whenever either the upper layer or the lower layer had ${\beta}$-effect. The internal Fronds number that controls the shape of the interface turned out to be the most important parameter that determines the radial spreading in terms of location and strength. When the upper and lower layer had the ${\beta}$-effect, convective overturning produced anticyclonic vortices at the frontal edge of the intermediate fluid, and that could enhance the vertical mixing of different density fluids. The intermediate fluid did not produce any topographic effect on the upper-layer motion during its spreading over the interface, since its thickness was very small. However, its anticyclonic motion within the bulged-shape produced a cyclonic motion in the lower layer just beneath the bulge.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2006년도 춘계 학술발표회 논문집
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• pp.546-551
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• 2006

This study is concerned with the dynamic behaviour of a fluid layer and a submerged deposit of sand in a rigid rectangular container when subjected to horizontal shaking. Detailed analyses are made of the interaction between the fluid pressure field and the excess pore pressure changes in the sand deposit, in terms of finite-element modelling as well as of two-layer fluid theory. It is shown that the predicted performance compares favourably with what has been observed in centrifugal shaking-table testing on submerged sand deposits.

• 한국해양공학회지
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• 제33권3호
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• pp.236-244
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• 2019

Internal waves occur at the interface between two layers caused by a seawater density difference. The internal waves generated by a body moving in a two-layer fluid are also related to the generation of surface waves because of their interaction. In these complex flow phenomena, the experimental measurements and experimental set-up for the wave patterns of the internal waves and surface waves are very difficult to perform in a laboratory. Therefore, studies have mainly been carried out using numerical analysis. However, model tests are needed to evaluate the accuracy of numerical models. In this study, the various experimental conditions were evaluated using CFD simulations before experiments to measure the wave patterns of the internal waves and surface waves in a stratified two-layer fluid. The numerical simulation conditions included variations in the densities of the fluids, depth of the two-layer fluid, and moving speed of the underwater body.

• International Journal of Naval Architecture and Ocean Engineering
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• 제2권3호
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• pp.127-131
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• 2010

A two-layer fluid with free surface is simulated in the time domain by a two-dimensional potential-based Numerical Wave Tank (NWT). The developed NWT is based on the boundary element method and a leap-frog time integration scheme. A whole domain scheme including interaction terms between two layers is applied to solve the boundary integral equation. The time histories of surface elevations on both fluid layers in the respective wave modes are verified with analytic results. The amplitude ratios of upper to lower elevation for various density ratios and water depths are also compared.

• 한국해양공학회지
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• 제31권1호
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• pp.1-7
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• 2017

There are two wave modes induced by an oscillating body on the free surface of a two-layer fluid: the barotropic and baroclinic modes. To investigate the generated waves composed of two modes, a radiation problem involving a heaving rectangular body was solved in a numerical wave tank. A new artificial damping zone scheme was developed and applied in the frequency-domain analysis. The performance of this damping scheme was compared with given radiation boundary conditions for various conditions. The added mass and radiation damping coefficients for the heaving rectangular body were also calculated for various fluid-density ratios.

• Journal of applied mathematics & informatics
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• 제40권1_2호
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• pp.99-115
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• 2022

The problem of Benard double diffusive Marangoni convection is investigated in a horizontally infinite composite layer system consisting of a two component fluid layer above a porous layer saturated with the same fluid, using Darcy-Brinkman model with constant heat sources/sink in both the layers. The lower boundary of the porous region is rigid and upper boundary of the fluid region is free with Marangoni effects. The system of ordinary differential equations obtained after normal mode analysis is solved in closed form for the eigenvalue, thermal Marangoni number for two types of thermal boundary combinations, Type (I) Adiabatic-Adiabatic and Type (II) Adiabatic -Isothermal. The corresponding two thermal Marangoni numbers are obtained and the essence of the different parameters on non-Darcy-Benard double diffusive Marangoni convection are investigated in detail.

• 한국해양학회지
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• 제28권1호
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• pp.17-23
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• 1993

회전반 위에서 상하경계면이 경사진 (${\beta}-effect$) 원통용기에 이층유체를 만들어 하층에 같은 밀도를 갖는 외부유체를 주입하여 경계면 변형에 따른 상층유체의 흐름을 관찰하였다. 상하층유체간의 경계면마찰을 최소화하여 하층유체운동(Sverdrup type) 에 따른 경계면의 변화에 적응하기 위한 상승유체 흐름은 internal Frounde Number($F_1$)에 민감하게 반응함을 보인다. 특히 $F_1$값이 6이상인 경우에는 상층유체운동 특성인 두 개의 폐쇄순환의 방향이 반대가 되어 서안경계류의 분리현상을 나타내고 있다. 서안에서의 분리 지점 역시 $F_1$값에 의존하며, 특히 $F_1{\;}~{\;}6$인 경우 가장 북쪽에서 분리되는 현상을 보였다.

• 대한수학회논문집
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• 제12권2호
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• pp.479-490
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• 1997

We consider long nonlinear waves in the two-layer flow of an inviscid and incompressible fluid bounded above by a free surface and below by a rigid boundary. The flow is forced by a bump on the bottom. The derivation of the forced KdV equation fails when the density ratio h and the depth ratio $\rho$ yields a condition $1 + h\rho = (2-h)((1-h)^2 + 4\rho h)^{1/2}$. To overcome this difficulty we derive a forced modified KdV equation by a refined asymptotic method. Numerical solutions are given and hydraulic fall solution of a two layer fluid is expressed analytically in the case that derivation of the forced KdV (FKdV) equation fails.

• 한국해양학회지:바다
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• 제4권1호
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• pp.10-17
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• 1999

본 이층 유체 실험의 목적은 하층유체가 외부유체의 유입 유출로 움직일 때 그에 따른 상층유체의 경압적인 응답을 연구하는 것이다. 최근에 관측된 용해 심층해류의 순압성 특성(Takematsu et al., 1994; 한국해양연구소, 1997)을 고려할 때 상층은 이러한 동해 심층수의 움직임을 경계면의 변형을 통해 느낄 수 있을 것이다. 본 실험은 이러한 경계면의 변형에 영향을 주는 요인들을 연구함으로써 전체적인 동해의 해수순환 혹은 국지적인 해수순환을 파악하고자 하였다. 정상적(steady)인 축대칭의 유입 혹은 유출실험은 균질 유체의 경우, 축대칭의 지형류를 야기시키며 이층유체의 하층유체 흐름도 유사한 특성을 가졌다. 그러나 로스비 수(${\varepsilon}$) 혹은 내부 프라우드 수($f_2$)가 증가하면서 하층유체의 운동은 경계면 변형에 영향을 받았다. 상층유체의 최대속도는 ${\varepsilon}f_2$에 매우 의존적이며, 그 흐름은 거의 포물선 형태를 보였다. 관찰된 상 하층유체의 속도로부터 계산된 경계면의 기울기는 ${\varepsilon}f_2$에 따라 커졌다. 즉 ${\varepsilon}f_2$의 증가는 이층유체가 순압적인 구조에서 경압적인 구조로 바뀌게 하였다.

• Membrane and Water Treatment
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• 제15권1호
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• pp.31-39
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• 2024

The flow in a nanopore of filtration membrane is often multiscale and consists of both the adsorbed layer flow and the intermediate continuum fluid flow. There is a controversy on which interface the slippage should occur in the nanopore filtration: On the adsorbed layer-pore wall interface or on the adsorbed layer-continuum fluid interface? What is the difference between these two slippage effects? We address these subjects in the present study by using the multiscale flow equations incorporating the slippage on different interfaces. Based on the limiting shear strength model for the slippage, it was found from the calculation results that for the hydrophobic pore wall the slippage surely occurs on the adsorbed layer-pore wall interface, however for the hydrophilic pore wall, the slippage can occur on either of the two interfaces, dependent on the competition between the interfacial shear strength on the adsorbed layer-pore wall interface and that on the adsorbed layer-continuum fluid interface. Since the slippage on the adsorbed layer-pore wall interface can be designed while that on the adsorbed layer-continuum fluid interface can not, the former slippage can result in the flux through the nanopore much higher than the latter slippage by designing a highly hydrophobic pore wall surface. The obtained results are of significant interest to the design and application of the interfacial slippage in nanoporous filtration membranes for both improving the flux and conserving the energy cost.