• 한국농공학회지
• /
• 제35권2호
• /
• pp.57-64
• /
• 1993

A modified kinematic wave model of the overland flow in vegetated filter strips was developed. The model can predict both flow depth and hydraulic radius of the flow. Existing models can predict only mean flow depth. By using the hydraulic radius, erosion, deposition and flow's transport capacity can be more rationally computed. Spacing hydraulic radius was used to compute flow's hydraulic radius. Numerical solution of the model was accomplished by using both a second-order nonlinear scheme and a linear solution scheme. The nonlinear portion of the model ensures convergence and the linear portion of the model provides rapid computations. This second-order nonlinear scheme minimizes numerical computation errors that may be caused by linearization of a nonlinear model. This model can also be applied to golf courses, parks, no-till fields to route runoff and production and attenuation of many nonpoint source pollutants.

• 한국수자원학회논문집
• /
• 제41권7호
• /
• pp.669-679
• /
• 2008

본 연구는 수리실험으로 얻어진 권파에 의한 월파수괴의 유속을 댐붕괴흐름과 비교하여 거동의 유사성을 검토하였다. 댐붕괴흐름은 해석해가 간략하고 월파 거동과 유사함으로 인해 월파의 유속산정에 이용되어왔다. 월파는 일반적으로 많은 연행기포로 인해 기존의 유속측정기법을 적용하는데 제한을 받게 되므로, 본 실험에서는 기포나 기포조직모양을 이용한 기포영상유속계를 이용하여 월파 유속을 측정하였다. 실험결과로부터 월파의 유속단면을 검토하였고, 단면의 최대유속과 수심평균유속을 댐붕괴흐름의 1차원 해석해인 Ritter의 해와 비교하였다. 해석해와의 비교를 위해 댐붕괴 전 초기수심을 파랑조건과 월파의 측정값으로부터 유도하였다. 파랑조건으로부터 추정된 붕괴 전 초기 수심을 이용한 해석해는 측정된 유속의 분포형태에 있어서는 차이를 보였으나, 월파수괴의 전면속도로부터 산정된 초기수심을 이용한 해석해는 유속크기의 비교에서 좋은 일치를 보였다.

• Korea-Australia Rheology Journal
• /
• 제21권1호
• /
• pp.47-58
• /
• 2009

We have investigated the transient behavior of 1D fully developed Poiseuille viscoelastic flow under finite pressure gradient described by the Oldroyd-B and Leonov constitutive equations. For analysis we employ a simple $2^{nd}$ order discretization scheme such as central difference for space and the Crank-Nicolson for time approximation. For the analysis of the Oldroyd-B model, we also apply the analytical solution, which is obtained again in this work in terms of elementary solution procedure simpler than the previous one (Waters and King, 1970). Both models demonstrate qualitatively similar solutions, but their eventual steady flowrate exhibits noticeable difference due to the absence or presence of shear thinning behavior. In the inertialess flow, the flowrate instantaneously attains a large value corresponding to the Newtonian creeping flow and then decreases to its steady value when the applied pressure gradient is low. However with finite liquid density the flow field shows severe fluctuation even accompanying reversals of flow directions. As the assigned pressure gradient increases, the flowrate achieves its steady value significantly higher than its value during oscillations after quite long period of time. We have also illustrated comparison between 1D and 2D results and possible mechanism of complex 2D flow rearrangement employing a previous solution of [mite element computation. In addition, we discuss some mathematical points regarding missing boundary conditions in 2D modeling due to the change of the type of differential equations when varying from inertialess to inertial flow.

• 한국방재학회 논문집
• /
• 제9권5호
• /
• pp.139-145
• /
• 2009

불포화지역의 유기화합물을 제거하기위해 지하수 흐름 해석해를 토양 진공추출 설계에 적용시켰다. 토양 공극 속의 가스 밀도가 압력에 따라 달라지므로 가스나 증기의 흐름을 지배하는 방정식은 비선형이다. 선행 연구자 의해 선형화된 방정식은 지하수 흐름의 지배방정식과 유사하다. 압력대수층과 누수대수층의 압력강하량에 대해서 Massmann의 자료를 이용하여 비교하였다. 압력대수층에 대해서는 Massmann에 의해 제시된 Theis의 해를 수정하였으며 Theis의 해를 검증하기 위해 GASSOLVE9의 프로그램을 이용하였다. Hantush의 해석해를 이용하여 누수대수층 구조에 대해서 압력 강하량을 계산하여 Massmann의 해와 비교하였다. 그 결과 압력강하량에 대해 근사적인 결과를 얻었다.

• 한국대기환경학회지
• /
• 제19권6호
• /
• pp.733-743
• /
• 2003

The flow field in multiple fluid sphere systems was studied analytically. The expanded zero vorticity cell model based on Kuwabara's theory (1959) was applied and the effects of gas slippage at the collecting surface were considered. Also, the solid sphere system was extended to fluid sphere including the effects of the induced internal circulation inside the liquid droplet spheres or gas bubble systems. As a result, the obtained analytic solution was converged to the existing solutions for flow field around solid and bubble sphere systems with proper boundary conditions. Based on the resolved flow field, the terminal velocity around the collecting fluid spheres was obtained. Subsequently, this study evaluated the most general solution for flow field around the multiple fluid sphere systems. The obtained flow field in multiple fluid sphere could be used as a fundamental consideration of wet scrubber design and devices for removing particles by fluid-fluid interactions.

• 한국전산유체공학회:학술대회논문집
• /
• 한국전산유체공학회 1999년도 추계 학술대회논문집
• /
• pp.139-144
• /
• 1999

There have been many studies for heat transfer enhancement. Particularly, the study of flow in heat exchangers which have fin device has been main theme in heat transfer area. Practically, the circular tube which has internal fins is widely used for developing heat transfer rate. In this study, flow and heat transfer analysis of the circular tube with fins are investigated. The height and the number of fins are arbitrary. The flow field is assumed to be laminar. The conformal mapping is used for analytic solution of the laminar flow field. Discretization of governing equation, namely, FDM was used for numerical analysis. The velocity field, flow rate and shear stress are calculated for some numbers of fins in circular tube and for some heights of fin. Temperature fields are plotted along the tube length. It can be shown that the numerical solution agrees with the analytical solution.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제16권4호
• /
• pp.225-234
• /
• 2012

We present two high-order potential flow models for the evolution of the interface in the Rayleigh-Taylor instability in two dimensions. One is the source-flow model and the other is the Layzer-type model which is based on an analytic potential. The late-time asymptotic solution of the source-flow model for arbitrary density jump is obtained. The asymptotic bubble curvature is found to be independent to the density jump of the fluids. We also give the time-evolution solutions of the two models by integrating equations numerically. We show that the two high-order models give more accurate solutions for the bubble evolution than their low-order models, but the solution of the source-flow model agrees much better with the numerical solution than the Layzer model.

• Preventive Nutrition and Food Science
• /
• 제4권2호
• /
• pp.85-87
• /
• 1999

A simple and rapid method to estimate the viscosity of chitosan using laboratory pipettes was developed. The voscosities of nine different chitosan samples, prepared ini 1 % acetic acid at a 1% concentration , were measured with a standard viscometer. Prior to measurement of flow time of 1% chitosan solution with a pipette, twelve pipettes were assorted into three groups with flow times of 4, 5 and 6 sec after measuring passage of 9 ml of 1% acetic acid througth a 10 ml pipette. With each group of pipettes. flow time of 1% chitosan solution was determined by measuring the delivery time of 5 ml of the 10ml solution through a 10 ml pipette. Results of regression analyses revealed high linear relationship(R2=0.9812, 0.9663, and 0.9754) between viscosities calculated with a viscometer and flow times measured with 4, 5 or 6 sec group pipettes. The viscosity of chitosan could be readily and accurately estimated from these linear regression equation by measuring flow times based on pipette delivery.

• International Journal of Aeronautical and Space Sciences
• /
• 제1권2호
• /
• pp.9-16
• /
• 2000

For aerodynamic design of missile bodies of non-circular cross-section, the combination of the slender body theory and the cross-flow analogy can hardly be applied owing to the lack of experimental data. An alternative is to utilize the Euler solution in the design stage. For enhanced accuracy, however, an adequate viscous correction is necessary to the Euler solution. In this work, such a procedure is examined to compensate the viscous effect by utilizing the concept of proportionality factor in cross-flow analogy. Predictions of aerodynamic coefficients combining the Euler solution and the viscous correction via proportionality factor are made for a missile body of elliptic cross-section. Results indicate that the present approach can be adopted in designing missile bodies of non-circular cross-sections.

• 대한교통학회:학술대회논문집
• /
• 대한교통학회 2002년도 제41회 학술발표회논문집
• /
• pp.97-139
• /
• 2002

The aim of the present study is to find a good quality user equilibrium assignments under time varying condition. For this purpose, this study introduces a dynamic network loading method that can maintain correct flow propagation as well as flow conservation, and it develops a novel solution algorithm that does not need evaluation of the objective function by modifying the Schittenhelm (1990)'s algorithm. This novel algorithm turns out to be efficient and convenient compared to the conventional Frank-Wolfe (1956) algorithm because the former finds solutions based on routes rather than links so that it can maintain correct flow propagation intrinsically in the time-varying network conditions. The application of dynamic user equilibrium (DUE) assignment model with this novel solution algorithm to test networks including medium-sized one shows that the present DUE assignment model gives rise to high quality discrete time solutions when we adopt the deterministic queuing model for a link performance function, and we associate flows and costs in a proper way.