• 제목/요약/키워드: Theoretical equation

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만곡부에서 이론식에 기반한 횡분산계수 경험공식 개발 (Development of Empirical Formula for Transverse Dispersion Coefficient Based on Theoretical Equation in River Bends)

  • 백경오
    • 대한토목학회논문집
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    • 제32권6B호
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    • pp.373-378
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    • 2012
  • 본 연구에서는 이론적 배경을 토대로 사행 하천의 만곡부에 적용하기 용이한 횡분산계수 경험공식을 새롭게 제안하였다. 차원해석을 통한 독립변수들의 선정 대신 이론식을 기반으로 독립변수들과 그들의 함수형태를 우선 결정하였다. 결정된 함수식에서 매개변수를 골라내고 이를 고정하는 대신 회귀계수로 전환하여 실제 하천 만곡부에 적합한 경험식을 비선형회귀분석을 통해 제안하였다. 기존의 횡분산계수식들과 비교해 보면 본 연구에서 개발된 식이 관측 분산계수와 대체적으로 일치하는 경향을 보였다. 개발된 식의 특징을 살펴보면 마찰항에 대한 민감도가 상대적으로 적어 조도가 작은 하천에도 적용하기에 무리가 없어 보인다. 또한 개발된 식은 수심 대비 사행반경의 비가 큰 경우에도 기존의 추정식처럼 이상치를 나타낼 우려가 없어 만곡이 심한 사행하천에 적용하기 적합하다.

이론적 방법에 의한 제습로터 최적 회전속도의 결정 (Theoretical Determination of Optimum Rotating Speed of Desiccant Rotor)

  • 송귀은;이대영
    • 대한설비공학회:학술대회논문집
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    • 대한설비공학회 2008년도 하계학술발표대회 논문집
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    • pp.603-608
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    • 2008
  • A simple equation to find a optimum speed of desiccant rotor is presented in this theoretical study. Usually the determination of optimum speed of desiccant rotor requires tedious and lengthy procedures by solving governing differential equations with many complicated parameters. The determining equation of optimal rotating speed is derivated from governing differential equations with three linearization assumptions, which simplify temperature profile linear along the desiccant rotor depth, psychrometric chart within a proper range, and relative humidity-sorption capacity relation. This study shows that the dominant parameters of optimal rotating speed of desiccant rotor are NTU, flow velocity, desiccant rotor depth, and temperature different between dehumidification and regeneration. The comparison shows the good agreement between complicated calculation results and simple theoretical equation prediction.

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유전체 혼합 법칙을 이용한 $(Pb_{0.5}Ca_{0.5})(Fe_{0.5}Ta_{0.5})O_3$세라믹스의 마이크로파 유전특성 평가 (Evaluation of Microwave Dielectric Properties in $(Pb_{0.5}Ca_{0.5})(Fe_{0.5}Ta_{0.5})O_3$ Ceramics by the Dielectric Mixing Rule)

  • 박흥수;윤기현;김응수
    • 한국세라믹학회지
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    • 제37권3호
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    • pp.240-246
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    • 2000
  • The microwave dielectric properties of the complex perovskite (Pb0.5Ca0.5)(Fe0.5Ta0.5)O3 ceramics were investigated with the porosity and the dielectric mixing rule. Assuming that the specimens were mixtures of real dielectrics and pores, with 3-0 connectivity, the ionic polarizabilities modified by Maxwell's equation were more close to the theoretical values rather than those modified by Wiener's equation in porous specimens. The theoretical dielectirc loss were obtained with the infrared reflectivity spectra from 50 to 4000cm-1, which were calculated by Kramers-Kronig analysis and classical osciallator model. The relative tendency of dielectric loss calculated from the theoretical value and Maxwell's equation in the specimens with different porosities was in good agreement with the one by the post resonant method.

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유압관로에서 맥동유동 특성에 관한 연구 (The Characteristics of Pulsating Flow in a Hydraulic Pipe)

  • 모양우;유영태;김지화
    • 설비공학논문집
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    • 제13권7호
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    • pp.653-665
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    • 2001
  • The characteristics of the pulsating flow in a hydraulic pipe have been investigated. It is necessary to study the power control of the power transmission system in the landing gear system of aircraft and the design of robots. In this system, the power transmission pipeline is composed of a hydraulic system, and the operating flow is unsteady flow. The wave equation varying with frequency is analyzed in order to investigate the characteristics of unsteady flow in such a pipe. This wave equation involves the propagation coefficient in terns of frequency and viscosity. The theoretical result of this wave equation are compared with experimental result. Each wave equation, varying with the propagation coefficient, is analyzed theoretically. then, a sinusoidal wave generator is built in order to make better sinusoidal waves, and a rectifier is built to eliminate the noise from the hydraulic pump. The theoretical results of the wave equation in the flow of viscous fluid agree well with experimental results.

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ON SOLVING FUZZY EQUATION

  • Hong, Dug-Hun
    • Journal of applied mathematics & informatics
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    • 제8권1호
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    • pp.213-223
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    • 2001
  • The use of fuzzy number over interval of confidence instead of possibilitic consideration for solving fuzzy equation is proposed. This approach of solving fuzzy equation by interval arithmetic and ${\alpha}$-cuts has a considerable advantage. Through theoretical analysis, an illustrative example and computational results, we show that the proposed approach is more general and straight-forword.

개수로에서 흐름방향 유속의 횡분포 이론식에 기반한 종분산계수 개발 : I. 흐름방향 유속의 횡분포 (Development of Longitudinal Dispersion Coefficient Based on Theoretical Equation for Transverse Distribution of Stream-Wise Velocity in Open Channel : Part I. Theoretical Equation for Stream-Wise Velocity)

  • 백경오
    • 한국수자원학회논문집
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    • 제48권4호
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    • pp.291-298
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    • 2015
  • 본 연구의 목적은 하천에서 흐름방향 유속의 횡분포식에 기반하여 1차원 종분산계수를 이론적으로 유도하고 이들의 타당성을 검증하는 것이다. 이를 위해 본 논문의 전편 "I. 흐름방향 유속의 횡포식"에서는 Shiono-Knight Model (일명 SKM)을 도입하여 삼각형 단면수로에서 횡분포식을 해석적으로 유도하였다. 본 논문의 후편 "II. 종분산계수"에서는 전편에서 유도된 유속의 횡분포식을 Fischer (1968)의 삼중 적분식에 대입하여 1차원 종분산계수 이론식을 새롭게 개발하였다. 본래 SKM은 Navier-Stokes 방정식을 근간으로 개발되어 주로 직선수로이면서 사다리꼴 단면이나 복단면 수로에 적용되어 왔지만, 본 연구에서는 사행으로인한 최심선의 변동을 고려할 수 있는 삼각형을 단면형상으로 가정하였다. 유도된 해석해를 검증하기 위해 자연하천에서 실측된 유속자료와 비교 분석하였다. 또한 유도된 횡분포식을 이용하여 단면평균유속을 산정하고, 이를 Manning의 유속식의 결과와 비교 검증하였다. 본 연구에서 개발한 이론식은 비록 유속의 횡분포를 경우에 따라서 섬세하게 재현하지는 못하더라도 조도계수를 포함한 몇 가지 기본적인 수리 및 지형자료만 측량한다면 유속의 관측없이 비교적 정확한 유속분포를 산출해 낼 수 있는 장점이 있었다.

한계상태식의 3차 다항식 근사를 통한 구조물 신뢰도 평가 (Structure Reliability Analysis using 3rd Order Polynomials Approximation of a Limit State Equation)

  • 이승규;김성찬;김태욱
    • 한국전산구조공학회논문집
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    • 제26권3호
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    • pp.183-189
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    • 2013
  • 본 논문에서는 불확실성을 확률변수로 가정하고 구조물의 파손기준을 한계상태식(Limit State Equation)으로 정의하였다. 한계상태식을 Fleishman의 3차 다항식으로 근사하고 이론적인 확률 모멘트(Moments)를 계산하였다. Fleishman은 표준정규 분포 확률변수에 대해서만 3차 다항식을 제시하였으나, 본 논문에서는 이를 확장하여 베타, 감마, 균일 분포 등 다양한 확률 변수에 적용하였다. 확률 모멘트를 계산하기 위해서 누률(Cumulants)과 정규화된 한계상태식을 활용하였으며, 피어슨 시스템(Pearson System)을 통해 한계상태식의 확률분포를 근사하였다.

Experimental and Theoretical Study on the Prediction of Axial Stiffness of Subsea Power Cables

  • Nam, Woongshik;Chae, Kwangsu;Lim, Youngseok
    • 한국해양공학회지
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    • 제36권4호
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    • pp.243-250
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    • 2022
  • Subsea power cables are subjected to various external loads induced by environmental and mechanical factors during manufacturing, shipping, and installation. Therefore, the prediction of the structural strength is essential. In this study, experimental and theoretical analyses were performed to investigate the axial stiffness of subsea power cables. A uniaxial tensile test of a 6.5 m three-core AC inter-array subsea power cable was carried out using a 10 MN hydraulic actuator. In addition, the resultant force was measured as a function of displacement. The theoretical model proposed by Witz and Tan (1992) was used to numerically predict the axial stiffness of the specimen. The Newton-Raphson method was employed to solve the governing equation in the theoretical analysis. A comparison of the experimental and theoretical results for axial stiffness revealed satisfactory agreement. In addition, the predicted axial stiffness was linear notwithstanding the nonlinear geometry of the subsea power cable or the nonlinearity of the governing equation. The feasibility of both experimental and theoretical framework for predicting the axial stiffness of subsea power cables was validated. Nevertheless, the need for further numerical study using the finite element method to validate the framework is acknowledged.

Theoretical model for the shear strength of rock discontinuities with non-associated flow laws

  • Galindo, Ruben;Andres, Jose L.;Lara, Antonio;Xu, Bin;Cao, Zhigang;Cai, Yuanqiang
    • Geomechanics and Engineering
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    • 제24권4호
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    • pp.307-321
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    • 2021
  • In an earlier publication (Serrano et al. 2014), the theoretical basis for evaluating the shear strength in rock joints was presented and used to derive an equation that governs the relationship between tangential and normal stresses on the joint during slippage between the joint faces. In this paper, the theoretical equation is applied to two non-linear failure criteria by using non-associated flow laws, including the modified Hoek and Brown and modified Mohr-Coulomb equations. The theoretical model considers the geometric dilatancy, the instantaneous friction angle, and a parameter that considers joint surface roughness as dependent variables. This model uses a similar equation structure to the empirical law that was proposed by Barton in 1973. However, a good correlation with the empirical values and, therefore, Barton's equation is necessary to incorporate a non-associated flow law that governs breakage processes in rock masses and becomes more significant in highly fractured media, which can be induced in a rock joint. A linear law of dilatancy is used to assess the importance of the non-associated flow to obtain very close values for different roughness states, so the best results are obtained for null material dilatancy, which considers significant changes that correspond to soft rock masses or altered zones of weakness.

손상 선박 기름 유출량 추정을 위한 수치해석과 이론식의 비교 연구 (A Comparative Study of Numerical and Theoretical Predictions of Oil Outflows from Damaged Ships)

  • 문요섭;김제인;박일룡;서성부;이승국;최혁진;홍사영
    • 대한조선학회논문집
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    • 제59권6호
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    • pp.400-412
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    • 2022
  • This paper provides the results of numerical and theoretical predictions of oil outflows from damaged single-hull and double-hull ships.Theoretical equations derived from the unsteady Bernoulli equation and a CFD method for multi-phase flow analysis were used to estimate the oil outflow rate from cargo tank. The predicted oil outflow rate from a single-hull cargo tank damaged due to grounding and collision accidents showed a good agreement with the available experimental results in both numerical and theoretical analyses. However, in the case of the double-hull conditions, the time variation of the amount of water and oil mixture inside the ballast tank predicted by the theoretical equation showed some different behavior from the numerical results. The reason was that the interaction of the oil flow with the water inflow in the ballast tank was not reflected in the theoretical equations. In the problems of the initial pressure condition in the cargo and ballast tanks, the oil outflow and water inflow were delayed at the pressure condition that the tanks were sealed. When the flow interaction between the oil and water in the ballast tank was less complicated, the theoretical and the numerical results showed a good agreement with each other.