• Title/Summary/Keyword: Expansion Method

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Scattering Wave Spectrum by a Pile Breakwater in Directional Irregular Waves (다방향 불규칙 파랑중 파일 방파제에 의한 산란파 스펙트럼)

  • Cho, Il-Hyoung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.6
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    • pp.586-595
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    • 2007
  • The analytic solution of wave scattering of monochromatic waves on a pile breakwater by an eigenfunction expansion method is extended to the case of directional irregular waves. The scattering wave spectrum and the force spectrum can be expressed from the reflection coefficient, transmission coefficient and the wave forces obtained from changing frequencies and incident angles in monochromatic waves. By numerical integration of 2-dimensional spectrum which is function of frequencies and incident angles, the representative values for the scattered waves and wave forces are obtained and the dependence of the transmission coefficients and wave forces on the directional distribution function, the principal wave direction, the submergence depth, and porosity is analyzed.

Effect of $MnO_2$ Additives on the Thermal Properties of Infrared Radiator of Cordierite System Fabricated by Slurry Casting Method (주입성형법으로 제조된 Cordierite계 적외선 방사체의 열적특성에 미치는 $MnO_2$의 영향)

  • 신용덕
    • Journal of the Korean Ceramic Society
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    • v.32 no.7
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    • pp.769-776
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    • 1995
  • Infrared radiators of a cordierite system [cordierite (2MgO.2Al2O3.5SiO2)+30wt% clay+X wt% MnO2 (X=0, 0.1, 0.25, 0.5, 1.0, 1.5, 2.0, 2.5)] were manufactured by a slurry casting method. Thermal and physical properties of these infrared radiators were studied by the measurement of spectra emissivity, thermal expansion coefficient and apparent density, SEM and EPMA analyses were also carried out. The thermal expansion coefficient and apparent density were decreased with increasing amouonts of MnO2 additives. On the other hand, the spectral emissivity was increased in the wavelength below 4.5${\mu}{\textrm}{m}$. Also, infrared radiators of the cordierite system, of which the spectral emisivity was 0.8, could be attainable in the wavelength above 4.5${\mu}{\textrm}{m}$. The infrared radiator of the cordierite system with 2.0wt% MnO2, of which the spectral emissivity was approximately 1.0, could be attainable in the wavelength between 4.5${\mu}{\textrm}{m}$ and 8${\mu}{\textrm}{m}$. The spectral emissivity of the specimen containing 2.0wt% MnO2 was higher than others in the wavelength between 8${\mu}{\textrm}{m}$ and 14${\mu}{\textrm}{m}$.

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TD-CFIE Formulation for Transient Electromagnetic Scattering from 3-D Dielectric Objects

  • Lee, Young-Hwan;Jung, Baek-Ho;Sarkar, Tapan K.;Yuan, Mengtao;Ji, Zhong;Park, Seong-Ook
    • ETRI Journal
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    • v.29 no.1
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    • pp.8-17
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    • 2007
  • In this paper, we present a time domain combined field integral equation formulation (TD-CFIE) to analyze the transient electromagnetic response from dielectric objects. The solution method is based on the method of moments which involves separate spatial and temporal testing procedures. A set of the RWG functions is used for spatial expansion of the equivalent electric and magnetic current densities, and a combination of RWG and its orthogonal component is used for spatial testing. The time domain unknowns are approximated by a set of orthonormal basis functions derived from the Laguerre polynomials. These basis functions are also used for temporal testing. Use of this temporal expansion function characterizing the time variable makes it possible to handle the time derivative terms in the integral equation and decouples the space-time continuum in an analytic fashion. Numerical results computed by the proposed formulation are compared with the solutions of the frequency domain combined field integral equation.

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On the Improved Numerical Method for Hydrodynamic Forces Acting on an Arbitrary Cylinder in the Time Domain (2차원 주상체의 강제 동요시 동유체력의 시간 영역 해석법에 관하여)

  • Y.S.,Shin;K.P.,Rhee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.1
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    • pp.63-72
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    • 1990
  • The linear hydrodynamic forces, acting on a forced oscillating cylinder from its mean position on a free surface with a small amplitude, are calculated in the time domain. The integral equation method using a time dependent Green function is employed. The numerical results for the heaving and swaying circular cylinder are shown and give good agreements with others Furthermore it is shown that the use of the Green function, which is expressed by a series expansion or asymptotic expansion according to time range, reduces computing time greatly.

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Consideration of Alkali-Silica Reaction of Mortar Containing Glass Abrasive Sludge (유리 연마슬러지를 혼합한 모르타르의 알칼리-실리카 반응에 관한 고찰)

  • Lee, Seung-Heun;Hwang, Hae-Jeong;Lee, Seung-Tae;Kim, Ki-Dong
    • Journal of the Korean Ceramic Society
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    • v.44 no.9
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    • pp.510-516
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    • 2007
  • After observing the alkali-silica reaction of the mortar that contains glass abrasive sludge, when evaluating it by a mineral or chemical point of view, it contained reactive silica $(59{\sim}67%)$ and $R_20$ elements $(4.3{\sim}9.8%)$. Also, when evaluated by the mortar bar method, an addition of 5 wt% of CRT glass abrasive sludge is judged harmless. However when adding more, there appear severe contractions, thus carefulness is needed while using. Less than 0.10% of expansion was measured when adding up to 30wt% of flat glass abrasive sludge. However, after 30 days of the measurement, more than 0.1% rate of expansion was measured when adding more than 5 wt%. Therefore, more detailed experiments are needed in case of more than 5 wt%.

A Study on Estimation Model of Resistance Value from Change of PTH Crack Size (PTH Crack을 고려한 저항 변화 추정 모델)

  • Kim, Gi-Young;Park, Boo-Hee;Kim, Seon-Jin;Yoo, Ki-Hun;Seol, Dong-Jin;Jang, Joong-Soon;Lee, Hyung-Rok;Kim, Tae-Hyuk
    • Journal of Applied Reliability
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    • v.8 no.4
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    • pp.155-166
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    • 2008
  • PTH cracks are caused by the mismatch of coefficient of thermal expansion(CTE) between polymer and laminated materials, and are one of the main failure mechanisms of multi layer boards. In spite of its importance, it is usually hard to measure or detect them because of its small size and invisibility. To detect PTH cracks more effectively, this paper proposes a theoretical model that can estimate the resistance value from crack size of PTHs. Using four-point probe resistance measurement method, the resistance value of test coupons is measured. Through measured data, we verify the validity of the proposed theoretical model and set up criteria of failure.

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Transmission Network Expansion Planning for the Penetration of Renewable Energy Sources - Determining an Optimal Installed Capacity of Renewable Energy Sources

  • Kim, Sung-Yul;Shin, Je-Seok;Kim, Jin-O
    • Journal of Electrical Engineering and Technology
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    • v.9 no.4
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    • pp.1163-1170
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    • 2014
  • Due to global environmental regulations and policies with rapid advancement of renewable energy technologies, the development type of renewable energy sources (RES) in power systems is expanding from small-scale distributed generation to large-scale grid-connected systems. In the near future, it is expected that RES achieves grid parity which means the equilibrium point where the power cost of RES is equal to the power costs of conventional generators. However, although RES would achieve the grid parity, the cost related with development of large-scale RES is still a big burden. Furthermore, it is hard to determine a suitable capacity of RES because of their output characteristics affected by locations and weather effects. Therefore, to determine an optimal capacity for RES becomes an important decision-making problem. This study proposes a method for determining an optimal installed capacity of RES from the business viewpoint of an independent power plant (IPP). In order to verify the proposed method, we have performed case studies on real power system in Incheon and Shiheung areas, South Korea.

Investigation of Importance of Evanescent Modes in Predicting the Transformation of Water Waves by the Linear Wave Theory: 2. Numerical Experiments (선형파 이론에 의한 파랑변형 예측시 소멸파 성분의 중요성 검토 2. 수치 실험)

  • 이창훈;조대희;조용식
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.15 no.1
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    • pp.51-58
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    • 2003
  • The magnitude of evanescent modes in terms of dynamics it investigated in case that the transformation of water waves is predicted by the linear wave theory. For the waves propagating over two steps, the eigenfunction expansion method is used to predict the amplitudes of reflected and transmitted waves by the component of evanescent modes as well as propagating modes. Then. the relative importance of evanescent modes to the propagating modes is investigated. The numerical experiments find that the evanescent modes are pronounced at the relative water depth of k$_1$h$_1$=0.11$\pi$ and the water depth ratio of h$_2$/h$_1$ close to zero.

Analysis of Multi-directional Random Waves Propagating over Multi Arrayed Impermeable Submerged Breakwater (다열 불투과성 수중방파제를 통과하는 다방향 불규칙파랑의 해석)

  • Jung, Jae-Sang;Kang, Kyu-Young;Cho, Yong-Sik
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.1
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    • pp.29-37
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    • 2007
  • In this study, transmission and reflection of multi-directional random waves propagating over impermeable submerged breakwaters are calculated by using eigenfunction expansion method. A series of mutiderectional random waves is generated by using the Bretschneider-Mitsuyasu frequency and Mitsuyasu type directional spectrum. Strong reflection is occurred at the Bragg reflection condition of the peak frequency. If the row of breakwaters is fixed at 3 and the relative height of breakwater is fixed at 0.6, more than 25% of incident wave energy is reflected to offshore. It is also found that the reflection of directionally spreading random waves increases as the maximum spreading parameter $s_{max}$ increases.

Laser Diagnostics of Spray and Combustion Characteristics Using Multi-Component Mixed Fuels in a D.I. Diesel Engine (다성분 혼합연료를 이용한 디젤 분무 및 연소특성의 광계측 진단)

  • Yoon, Jun-Kyu;Myong, Kwang-Jae;Senda, Jiro;Fujimoto, Hajime;Cha, Kyung-Ok
    • Transactions of the Korean Society of Automotive Engineers
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    • v.14 no.5
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    • pp.172-180
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    • 2006
  • This study was to analyze the effect of mixed fuel composition and mass fraction on the characteristics of evaporating diesel spray and combustion under the various ambient conditions. The characteristics of vaporization distribution and combustion were visualized by laser induced fluorescent method and direct photography. The experiments were conducted in the constant volume vessel and rapid compression expansion machine with optical access. Multi-component fuels mixed i-octane, n-dodecane and n-hexadecane were injected the vessel and rapid compression expansion machine with electronically controlled common rail injector. Experimental results show that fuel vapor formed stratified distribution. And vaporization and diffusion are become actively increasing in mass fraction of low boiling point component. Consequently multi-component fuels were expected to control the evaporating behavior according to their suitable mass fraction.