• 한국응용과학기술학회지
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• 제23권3호
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• pp.185-191
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• 2006

It is desirable to have an accurate expression on the temperature dependence of surface(or interfacial) tension ${\sigma}$, because most of the interfacial thermodynamic functions can be derived from it. There have been proposed several equations on the temperature dependence of the surface tension, ${\sigma}(T)$. Among them $E{\ddot{o}}tv{\ddot{o}}s$ equation and the one modified by Katayama, which is called Katayama equation, for improving accuracies of $E{\ddot{o}}tv{\ddot{o}}s$ equation close to critical points, have been most well-known. In this article Katayama equation is interpreted on the basis of the cell model to understand the nature of the equation. The cell model results in an expression very similar to Katayama equation. This implies that, although $E{\ddot{o}}tv{\ddot{o}}s$ and Katayama equations were obtained on the basis of experimental results, they have a sound theoretical background. The Katayama equation is also modified with the phase volume replaced with a critical scaling expression. The modified Katayama equation becomes a power-law equation with the exponent slightly different from the value obtained by critical-scaling theory. This implies that Katayama equation can be replaced by a critical-scaling equation which is proven to be accurate.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
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• pp.219-224
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• 1992

This paper deals with the linear quadratic optimal regulator problem for descriptor systems without performing a preliminary transformation for a descriptor system. We derive a generalized Riccati differential equation (GRDE) based on the two-point boundary value problem for a Hamiltonian equation. We then obtain an optimal feedback control and the optimal cost in terms of the solution of GRE. A simple example is included.

• 한국해안·해양공학회논문집
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• 제23권2호
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• pp.182-191
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• 2011

본 연구에서는 천 등(2009)의 동적결합형 POM-WAM 모형을 천해역 해빈류 현상 중 하나인 해향저류(undertow) 문제에 적용하였다. 수치모형의 해향저류 계산 결과를 향상시키기 위해 surface roller에 대한 방정식을 풀고, 이를 해향저류 계산에 포함시켰다. 수치모형을 Okayasu and Katayama(1992) 및 Cox and Kobayashi(1997)의 수리모형 실험에 적용하고, 계산 결과를 수리모형 실험 결과 및 Tajima and Madsen(2006)의 수치계산 결과와 함께 비교하였다. 그 결과, 본 수치모형의 계산결과와 실험결과가 잘 일치하는 것으로 나타났다. 이를 통해, 본 수치모형이 쇄파대를 포함한 천해역에 적용 가능함을 확인하였다.

• Journal of Ship and Ocean Technology
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• 제3권2호
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• pp.17-26
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• 1999

An experimental investigation on hydrodynamic forces acting on a porpoising craft at high advanced speeds up to Froude numbers Fn=6.0(Fn=U\ulcorner:Lo\ulcorner denote overall length of ship) in calm water is performed. Captive model tests and forced motion tests are carried out to measure the hydrodynamic forces. The results show that significant nonlinear effects for motion amplitudes appear in the restoring, the added mass and the damping coefficients. The experimental results are compared with the results of a prediction method of the hydrodynamic forces include the nonlinear effects, and show a good agreement with them. A simulation using the predicted hydrodynamic forces in a nonlinear motion equation is carried out to obtain the porpoising motion of a craft in calm water. The calculated results are in fairly good agreement with experimental ones.