• Title/Summary/Keyword: Parabolic system

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APPROXIMATE CONTROLLABILITY FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

  • Jeong, Jin-Mun;Rho, Hyun-Hee
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.173-181
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    • 2012
  • In this paper, we study the control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under the Lipschitz continuity condition of the nonlinear term, we can obtain the sufficient conditions for the approximate controllability of nonlinear functional equations with nonlinear monotone hemicontinuous and coercive operator. The existence, uniqueness and a variation of solutions of the system are also given.

Study on Thermal Dewatering of Sludge Using the Parabolic Through Collector(PTC) Solar Collector (PTC태양열 집열기를 이용한 슬러지 열탈수 연구)

  • Lee, Jung-Eun
    • Journal of the Korean Solar Energy Society
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    • v.34 no.3
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    • pp.49-56
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    • 2014
  • A fiat-plate or vacuum tube solar collector have been mainly used for hot water supply of house because of some being difficult to get uniform energy density, so little applied into industrial field. This study is to apply the PTC(parabolic trough collector) solar collector into industrial field such as sludge dewatering system for energy reduction. The real scale system which composed of PTC Solar Collector and Thermal Dewatering (TDW) is established. PTC solar collector is designed to produce a hot water with $80^{\circ}C$ of temperature. And size of TDW is $630{\times}630mm$. Hot water produced from PTC solar collector is supplied into heating plate of TDW, and sludge like waterworks or wastewater is dewatered. PTC solar collector with $10m^2$ of area produce energy of average 5,618 kcal. As according to results from real scale performance, solar collector takes charge 94 % of the amount that TDW consume energy which is so large part if compare with boiler. It means that PTC solar collector is useful to apply industrial field under the condition of sufficient solar radiation. And it is analyzed that TDW by PTC solar collector has an economical validity.

Design of a Spinning Direction-Finding Compact Offset-Parabolic-Reflector Antenna for Airborne Applications (항공용 회전 방향탐지 소형 옵셋 파라볼릭 반사판 안테나 설계)

  • Park, Young-Ju;Park, Dong-Chul
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.27 no.8
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    • pp.766-773
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    • 2016
  • This paper proposes an aircraft-installed compact offset-parabolic-reflector antenna for the spinning direction-finding applications. The feeder of the reflector antenna is a LPDA antenna that has the ultra-wideband characteristics and the $45^{\circ}$ slant linear polarization. The reflector is designed to be slanted by $5^{\circ}$ in the elevation and to be small in size on the basis of the reference parabolic shape for the purpose of the high gain and mounting on the underside of aircraft fuselage. Over the ultra-wideband 20:1 bandwidth from S to Ka band, the measured average gain of the proposed antenna is 27.97 dBi, and the average half-power beam width is $4.55^{\circ}$ in the azimuth and $4.3^{\circ}$ in the elevation which is the pencil-beam radiation pattern. All the measured data are similar to the simulation results. The designed compact offset-parabolic-reflector antenna that is installed in the limited area has the ultra-wideband and high-gain characteristics. We expect that the newly designed antenna can be applied to the spinning direction-finding antenna system installed in an aircraft.

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF PERIODIC SOLUTIONS TO A FRACTIONAL CHEMOTAXIS SYSTEM ON THE WEAKLY COMPETITIVE CASE

  • Lei, Yuzhu;Liu, Zuhan;Zhou, Ling
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1269-1297
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    • 2020
  • In this paper, we consider a two-species parabolic-parabolic-elliptic chemotaxis system with weak competition and a fractional diffusion of order s ∈ (0, 2). It is proved that for s > 2p0, where p0 is a nonnegative constant depending on the system's parameters, there admits a global classical solution. Apart from this, under the circumstance of small chemotactic strengths, we arrive at the global asymptotic stability of the coexistence steady state.

Research on the Solar Concentrating Optical System for Solar Energy Utilization

  • Duan, Yimeng;Yang, Huajun;Jiang, Ping;Wang, Ping
    • Journal of the Optical Society of Korea
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    • v.17 no.5
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    • pp.371-375
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    • 2013
  • To improve the utilization efficiency of solar energy, a new solar optical concentrating system composed of a parabolic reflector with a square cross-section, a hyperbolic reflector with a square cross-section and two converging convex lenses has been designed. The proposed method can simultaneously focus and shape sun light into a square pattern on the solar panel. In addition, the total reflection property of photonic crystal within the range of the visible sunlight spectrum has been analyzed. Finally, the relationship between solar concentrating multiples and the diameter of the primary mirror has been discussed.

Study on Thermal Performance Characteristics of CPC System Depending on Weather Conditions and Capacity of Heat Storage Tank (기상 조건과 축열조 용량에 따른 복합 포물형 집열기(CPC) 시스템의 열적 성능 특성에 관한 연구)

  • LIM, SOK-KYU;JUNG, YOUNG GUAN;KIM, KYOUNG HOON
    • Transactions of the Korean hydrogen and new energy society
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    • v.30 no.1
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    • pp.58-66
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    • 2019
  • Static compound parabolic collectors (CPCs) have advantages such as ease for fabrication and lower cost compared with other concentrating collectors. In this study, thermal performance analysis of CPC employing heat storage tank was carried out. The clearness index and capacity of heat storage tank are taken as the main parameters for numerical simulation. The effects of the parameters on the hourly and daily system performances ncluding the useful energy, heat loss, and collector efficiency were numerically investigated. Results showed that the system has a potential for efficient recovery of solar thermal energy.

A Development of Sun Tracking Control System for Parabolic Trough Concentrator (PTC용 태양 추적 장치의 개발)

  • Park, Y.C.;Kwak, H.Y.;Kang, Y.H.
    • Solar Energy
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    • v.18 no.3
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    • pp.25-30
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    • 1998
  • A sun tracking controller for PTC(parabolic trough concentrator) is a control system used to orient the concentrator toward the sun always, so that the maximum energy can be collected. The work presented here is a design and development of microprocessor based sun tracking control system for PTC. Sun tracking control system consists of a sun sensor and a single axis tracking control system. 80c196KC based control system consists of an analog input unit, 24V DC servomotor drive unit, I/O unit. Sun sensor has been constructed using photodiode and can detect the sun located within ${\pm}50^{\circ}$ measured from the sun sensor normal direction. The sun tracking system developed is being implemented and shows a good sun tracking performance.

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A Feasibility Study of Using a Mini-dish Cluster for Solar Power Generation (소형 태양 반사경 클러스터를 이용한 태양열 발전에 대한 타당성 연구)

  • Oh, Seung-Jin;Lee, Jung-Sung;Hyun, Joon-Ho;Kim, Nam-Jin;Chun, Won-Gee
    • 한국신재생에너지학회:학술대회논문집
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    • 2006.11a
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    • pp.161-164
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    • 2006
  • This paper introduces a preliminary work for the design of a mini-dish cluster system for power general ion. Each mini-dish (typically has a 20 to 30cm in diameter) is designed with a simple parabolic profile, concentrating sun light (after the glass glazing cover to avoid dust deposition on the reflector and facilitate cleaning) onto a centrally located small plane(or concave) mirror which is placed on the bottom side of the transparent glass cover. The mirror with a mini-dish concentrator is designed to focus beam radiation onto a focal point before it enters a bundle of optical fibers connected to a remote receiver for power generation different options are considered In designing a mini-dish concentrator to maximize its effectiveness for the collection and use of solar energy.

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Comparative Analysis of the Parabolic and Hyperbolic Heat Conduction and the Damped Wave in a Finite Medium (유한한 평판에서 포물선형 및 쌍곡선형 열전도 방정식과 파동 방정식의 비교 해석)

  • Park, S.K.;Lee, Y.H.
    • Journal of Power System Engineering
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    • v.3 no.3
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    • pp.14-21
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    • 1999
  • The wave nature of heat conduction has been developed in situations involving extreme thermal gradients, very short times, or temperatures near absolute zero. Under the excitation of a periodic surface heating in a finite medium, the hyperbolic and parabolic heat conduction equations and the damped wave equations in heat flux are presented for comparative analysis by using the Green's function with the integral transform technique. The Kummer transformation is also utilized to accelerate the rate of convergence of these solutions. On the other hand, the temperature distributions are obtained through integration of the energy conservation law with respect to time. For hyperbolic heat conduction, the heat flux distribution does not exist throughout all the region in a finite medium within the range of very short times(${\xi}<{\eta}_l$). It is shown that due to the thermal relaxation time, the hyperbolic heat conduction equation has thermal wave characteristics as the damped wave equation has wave nature.

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