• Korea-Australia Rheology Journal
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• 제16권4호
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• pp.227-233
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• 2004

Simplified model of slide-fed curtain coating flow has been developed and tested in this study. It rests on the sheet profile equations for curtain thickness in curtain flow and its trajectory derived by the integral momentum balance approach of Higgins and Scriven (1979) and Kistler (1983). It also draws on the film profile equation of film thickness variation in flow down a slide. The equations have been solved in finite difference approximation by Newton iteration with continuation. The results show that how inertia (Rey­nolds number), surface tension (capillary number), inclination angle of the slide, and air pressure difference across the curtain affect sheet trajectory and thickness profile. It has been revealed that approximate models can be useful to easily analyze coating flow dynamics without complex computations, giving qualitative agreement with full theory and with experiment.

• Korea-Australia Rheology Journal
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• 제18권4호
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• pp.209-215
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• 2006

Recent research results on viscocapillary models of various pre-metered coating flows such as curtain, slide, and slot coatings have been reviewed in this paper. Such one-dimensional models have been simplified from two-dimensional Navier-Stokes equations for viscous coating flows with free surfaces, using integral momentum balances and lubrication approximation. It has been found that these viscocapillary models is capable of predicting flow dynamics in various coating systems, providing the good agreement with results by 2-D models.

• 한국유체기계학회 논문집
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• 제10권4호
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• pp.15-20
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• 2007

In order to control and balance axial thrust of turbo machine, many types of balancing devices are used but most of them are complicated and sometimes cause troubles. In this study, a very simple device of using shallow grooves mounted on a casing wall, known as "J-Groove", is proposed and studied experimentally and theoretically. The result shows that 70% of axial thrust in an industrial 4-stage centrifugal pump can be reduced at the best efficiency point. Moreover, the analytical method of "interfered gap flow" is established and a simple formula which can determine the optimum dimension of groove and its location is proposed.

• 한국수자원학회논문집
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• 제41권8호
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• pp.761-772
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• 2008

본 연구의 목적은 수공학 분야에서 수치해석이 난해한 문제를 해결하기 위한 모형을 개발하고, 해석해가 존재하는 다양한 수치실험, 즉 하상과 하폭이 함께 변하는 점변부정류 조건에서의 검증, 하상경사가 변화하는 세가지 정상상태 조건의 문제, 그리고 해석해가 있는 마찰하상에 적용함으로써 개발된 모형의 적용성을 검증하기 위한 것이다. 모형의 지배방정식은 보존 법칙을 만족하는 Saint-Venant 적분형 방정식이며, Riemann 해법에 의한 유한체적법이 사용되었다. 질량 및 운동량의 흐름율 계산에 HLL Riemann 근사해법이 사용되었고, 시간-공간에서 2차정확도를 위하여 MUSCL-Hancock 기법이 사용되었다. 본 연구에서는 비선형의 흐름율과 생성항과의 균형을 위하여, 중력과 흐름방향 하폭의 변화로 인한 정수압력에 의한 생성항을 차분하는 새롭고 간편한 기법을 소개하였다. 수치실험 모의결과는 개발된 모형이 생성항을 포함한 다양한 흐름조건에서 정확하고, 견고하며, 매우 안정적임을 보여주고, 또한 수공학 분야에서 일차원 적용에 적합한 모형임을 보여준다.