• Title/Summary/Keyword: Parabolic type

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A new arrayed waveguide grating router with flat passband (평타한 통과대역 특성을 갖는 새로운 구조의 광도파로열 격자 라우터)

  • 김남훈;정영철
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.35D no.3
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    • pp.56-62
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    • 1998
  • One of the key components to accomplish WDM all-optical network is an arrayed waveguide grating router. The spectral characterisitc of the ypeical arrayed waveguide grating rouger has parabolic shape, hence the bandwidth is limited. The spectral response of an optical filter should be as flat as possible for the reliable operation of the syste, because the center frequency of the optical source could be deviated in the actual system. In order to acquire these characteristics, we propose and design a new type of the arrayed waveguide grating router with a flat passband using the Fourier optics concept. The BPM simulation results of the new arrayed waveguide grating router with the flat passband show that the bandwideth is 0.8 nm at -1 dB, instertion loss about 6 dB, and the crosstalk less than -23 dB fro each cnannel, which is 1.6 nm(200 GHz) separated from the adjacent channel around 1550 nm wavelength range.

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Finite-element Method for Heat Transfer Problem in Hydrodynamic Lubrication

  • Kwang-June,Bai
    • Bulletin of the Society of Naval Architects of Korea
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    • v.19 no.4
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    • pp.19-29
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    • 1982
  • Galerkin's finite element method is applied to a two-dimensional heat convection-diffusion problem arising in the hydrodynamic lubrication of thrust bearings used in naval vessels. A parabolized thermal energy equation for the lubricant, and thermal diffusion equations for both bearing pad and the collar are treated together, with proper juncture conditions on the interface boundaries. it has been known that a numerical instability arises when the classical Galerkin's method, which is equivalent to a centered difference approximation, is applied to a parabolic-type partial differential equation. Probably the simplest remedy for this instability is to use a one-sided finite difference formula for the first derivative term in the finite difference method. However, in the present coupled heat convection-diffusion problem in which the governing equation is parabolized in a subdomain(Lubricant), uniformly stable numerical solutions for a wide range of the Peclet number are obtained in the numerical test based on Galerkin's classical finite element method. In the present numerical convergence errors in several error norms are presented in the first model problem. Additional numerical results for a more realistic bearing lubrication problem are presented for a second numerical model.

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Microstructural Evoluation from the Oxidation-Reduction of Mn-Zn Ferrite Single Crystal (망간징크 페라이트 단결정의 산화-환원반응에 따른 미세구조의 변화)

  • 윤상영;김문규
    • Journal of the Korean Ceramic Society
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    • v.27 no.5
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    • pp.652-660
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    • 1990
  • Oxidation of Mn-Zn ferrite was made in air at various temperatures ranging from 400$^{\circ}C$ to 1150$^{\circ}C$. Subsequent reduction fo these oxidized samples was also made in air at 1300-1350$^{\circ}C$ where the spinel phase of Mn-Zn ferrite is stable. Morphological observation revealed that the shape of precipitated hematite was plate or lath type on the close-packed habit plane of {111} ferrite which has a definite orientation relationship. The growth of precipitates showed the behavior fo parabolic dependence of the oxidating time. An apparent activation energy for the growth was found to be 125${\pm}$3Kcal/mol. The fact that pores are observed along the precipitates illustrates the oxidation to occur dominantly by the counterdiffusion of cations and ction vacancies. For the reductio reaction pores are found to form at the site once occupied by the precipitates and at the surface. This observation illustrates that the oxygen volitalization from interior region to the surface is the dominant process for the reduction reaction.

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GEVREY REGULARITY AND TIME DECAY OF THE FRACTIONAL DEBYE-HÜCKEL SYSTEM IN FOURIER-BESOV SPACES

  • Cui, Yiwen;Xiao, Weiliang
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1393-1408
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    • 2020
  • In this paper we mainly study existence and regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type with small initial data in Fourier-Besov spaces. To be more detailed, we will explain that global-in-time mild solutions are well-posed and Gevrey regular by means of multilinear singular integrals and Fourier localization argument. Furthermore, we can get time decay rate estimate of mild solutions in Fourier-Besov spaces.

Mapping of the Equilibrium Shoreline Equation of parabolic type into Polar Coordinates for Comprehensive Application (포물선형 평형 해안선 식의 범용적 사용을 위한 극좌표계로의 매핑)

  • Kim, Dong Hee;Lee, Jung Lyul
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.202-206
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    • 2015
  • 해안선은 길게 뻗어 있지만 직선적이지 않고 원호와 같은 곡선을 보인다. 그러나 대부분의 평형 해안선식은 직선적 해안이라고 가정하고 수립되어 그 효용성이 큼에도 불구하고 실 해안에 적용되는 경우 잘 재현하지 못하는 경우가 범용적으로 이용되는 데 큰 걸림돌이 되었다. 특히 해안선의 포괄 원호의 반경이 작을수록 문제가 크다는 점에 착안하여 해안선을 포괄하는 극좌표계에 포물선형 평형 해안선 식을 매핑하는 방법을 적용하였다. 그 결과 control point의 개연성을 극복하였고 대부분의 동해, 서해든 국내 해안에 적용한 결과 만족할 만한 결과를 제공하였다. Matlab GUI로 개발되어 실무자들이 항만이나 어항 등 연안해역 개발에 따른 침식 문제의 근본 해결 방안을 사전에 수립하는 데 큰 도움이 되리라 기대한다.

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REMEDIATION OF GROUNDWATER CONTAMINATED WITH BENZENE (LNAPL) USING IN-SITU AIR SPARGING

  • Reddy, Krishna R.
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2003.09a
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    • pp.11-24
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    • 2003
  • This paper presents the results of laboratory investigation performed to study the role of different air sparging system parameters on the removal of benzene from saturated soils and groundwater. A series of one-dimensional experiments was conducted with predetermined contaminant concentrations and predetermined injected airflow rates and pressures to investigate the effect of soil type and the use of pulsed air injection on air sparging removal efficiency. On the basis of these studies, two-dimensional air sparging remediation systems were investigated to determine the effect of soil heterogeneity on the removal of benzene from three different homogeneous and heterogeneous soil profiles. This study demonstrated that the grain size of the soils affects the air sparging removal efficiency. Additionally, it was observed that pulsed air injection did not offer any appreciable enhancement to contaminant removal for the coarse sand; however, substantial reduction in system operating time was observed for fine sand. The 2-D experiments showed that air injected in coarse sand profiles traveled in channels within a parabolic zone. In well-graded sand the zone of influence was found to be wider due to high permeability and increased tortuosity of this soil type. The influence zone of heterogeneous soil (well-graded sand between coarse sand) showed the hybrid airflow patterns of the individual soil test. Overall, the mechanism of contaminant removal using air sparging from different soil conditions have been determined and discussed.

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Solar $CO_2$ Reforming of Methane Using $Ni/{\gamma}-Al_2O_3/Metallic$ foam device ($Ni/{\gamma}-Al_2O_3/Metallic$ device를 이용한 고온 태양열 메탄-이산화탄소 개질반응)

  • Shin, Il-Yoong;Lee, Ju-Han;Lee, Jin-Gyu;Seo, Tae-Beom
    • 한국태양에너지학회:학술대회논문집
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    • 2011.04a
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    • pp.275-281
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    • 2011
  • Solar reforming of methane with $CO_2$ was successfully tested with a direct irradiated absorber on a parabolic dish capable of $5kW_{th}$ solar power. The new type of catalytically activated metallic foam absorber was prepared, and its activity was tested. Ni was applied as the active metal on the gamma - alumina coated Ni metal foam for the preparation of the catalytically-activated metal foam layer. Compared to conventional direct irradiation of the catalytically-activated ceramic foam absorber, this new metallic foam absorber is found to exhibit a superior reaction performance at the relatively low insolation or at low temperatures. In addition, unlike direct irradiation of the catalytically-activated ceramic foam absorber, metallic foam absorber has better thermal resistance, which prevents the emergence of cracks caused by mechanical or thermal shock. The total solar power absorbed reached up to 2.1kW and the maximum $CH_4$ conversion was almost 40%.

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New Light Curves and Orbital Period Investigations of the Interacting Binary System UV Piscium

  • Jeong, Min-Ji;Han, Wonyong;Kim, Chun-Hwey;Yoon, Joh-Na;Kim, Hyoun-Woo
    • Journal of Astronomy and Space Sciences
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    • v.36 no.2
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    • pp.75-86
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    • 2019
  • UV Psc is a typical RS CVn type system undergoing dynamic chromosphere activity. We performed photometric observations of the system in 2015 and secured new BVR light curves showing well-defined photometric waves. In this paper, we analyzed the light curves using Wilson-Devinney binary code and investigated the orbital period of the system. The combination of our light curve synthesis with the spectroscopic solution developed by previous investigators yielded the absolute parameters as: $M_1=1.104{\pm}0.042M_{\odot}$, $R_1=1.165{\pm}0.025R_{\odot}$, and $L_1=1.361{\pm} 0.041L_{\odot}$ for the primary star, and $M_2=0.809{\pm}0.082M_{\odot}$, $R_2=0.858{\pm}0.018R_{\odot}$, and $L_2=0.339 {\pm}0.010L_{\odot}$ for the secondary star. The eclipse timing diagram for accurate CCD and photoelectric timings showed that the orbital period may vary either in a downward parabolic manner or a quasi-sinusoidal pattern. If the latter is adopted as a probable pattern for the period change, a more plausible account for the cyclic variation may be the light time effect caused by a circumbinary object rather than an Applegate-mechanism occurring via variable surface magnetic field strengths.

The Physical Characteristics of the flow field and the Form of Arrested Salt Wedge (정상 염수쇄기의 형상과 흐름 장의 물리적 특성)

  • 이문옥
    • 한국해양학회지
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    • v.25 no.2
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    • pp.62-73
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    • 1990
  • An experimental study is performed in order to catch the characteristics of the flow field at arrested salt wedge, using a rectangular open channel. Arrested salt wedge is generally so stable that the observations are easy, but velocities and interfacial waves are measured with the aid of visualization method, by injection of fluorescent dyes. The density interface, which is defined as the zone of maximum density variation with depth, exists in about 0.5 cm below the visual interface, and vertical density profile is quite well satisfied with Homeborn model. Interfacial layer has high turbulent intensity and its thickness decreases as the overall Richardson number increases and has magnitude of roughly 17% of upper layer. Cross-sectional velocity distribution just shows the influence of a side-wall friction and in the upper layer vertical velocity profile also becomes uniformly as Reynolds number increases, but in the lower layer it shows nearly parabolic type. Supposes that we divide salt wedge into three domains, that is, river mouth, intermediate and tip zone, entertainment coefficient is small at the intermediate zone and large at the river mouth and the tip zone. River mouth or intermediate zone has comparatively stable interface and capillary wave therefore s produced and propagated downstream. On the other hand, tip zone is very unstable, cusping ripple or bursting ripple is then produced incessantly. Arrested salt wedge form is nearly linear and has no relation to densimetric Froude number and Reynolds number.

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Inference of the Probability Distribution of Phase Difference and the Path Duration of Ground Motion from Markov Envelope (Markov Envelope를 이용한 지진동의 위상차 확률분포와 전파지연시간의 추정)

  • Choi, Hang;Yoon, Byung-Ick
    • Journal of the Earthquake Engineering Society of Korea
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    • v.26 no.5
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    • pp.191-202
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    • 2022
  • Markov envelope as a theoretical solution of the parabolic wave equation with Markov approximation for the von Kármán type random medium is studied and approximated with the convolution of two probability density functions (pdf) of normal and gamma distributions considering the previous studies on the applications of Radiative Transfer Theory (RTT) and the analysis results of earthquake records. Through the approximation with gamma pdf, the constant shape parameter of 2 was determined regardless of the source distance ro. This finding means that the scattering process has the property of an inhomogeneous single-scattering Poisson process, unlike the previous studies, which resulted in a homogeneous multiple-scattering Poisson process. Approximated Markov envelope can be treated as the normalized mean square (MS) envelope for ground acceleration because of the flat source Fourier spectrum. Based on such characteristics, the path duration is estimated from the approximated MS envelope and compared to the empirical formula derived by Boore and Thompson. The results clearly show that the path duration increases proportionately to ro1/2-ro2, and the peak value of the RMS envelope is attenuated by exp (-0.0033ro), excluding the geometrical attenuation. The attenuation slope for ro≤100 km is quite similar to that of effective attenuation for shallow crustal earthquakes, and it may be difficult to distinguish the contribution of intrinsic attenuation from effective attenuation. Slowly varying dispersive delay, also called the medium effect, represented by regular pdf, governs the path duration for the source distance shorter than 100 km. Moreover, the diffraction term, also called the distance effect because of scattering, fully controls the path duration beyond the source distance of 300 km and has a steep gradient compared to the medium effect. Source distance 100-300 km is a transition range of the path duration governing effect from random medium to distance. This means that the scattering may not be the prime cause of peak attenuation and envelope broadening for the source distance of less than 200 km. Furthermore, it is also shown that normal distribution is appropriate for the probability distribution of phase difference, as asserted in the previous studies.