• Title/Summary/Keyword: Spectral equivalence

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ON A SPECTRAL EQUIVALENCE

  • Lee, Woo-Young
    • Communications of the Korean Mathematical Society
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    • v.10 no.2
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    • pp.317-323
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    • 1995
  • In this note we prove that Apostol's conjecture is true for the operators having totally disconnected spectra and also give a result related on compalence.

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Analytical Proof of Equivalence of ISF, and Floquet Vector-Based Oscillator Phase Noise Theories (ISF와 Floquet 벡터에 기초한 발진기 위상잡음 이론의 등가성에 대한 해석적 증명)

  • Jeon, Man-Young
    • Journal of IKEEE
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    • v.17 no.4
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    • pp.559-563
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    • 2013
  • This paper analytically proves the equivalence between two main oscillator phase noise theories, which are based on the ISF, and Floquet vector, respectively. For this purpose, this study obtains the power spectral density matrix from the ISF-based phase noise theory. As a result, one can prove that the power spectral density matrix obtained from the ISF-based phase noise theory is essentially equivalent to the power spectral density matrix presented by the Floquet vector-based phase noise theory, which manifests the equivalence of the two main theories. This study is intended to provide deeper insight into the relations between the two main theories.

Spectral Model of Turbulent Burning Velocity Taking Account of the Diffusivity of Deficient Reactant (부족성분 확산계수의 영향을 고려한 난류연소속도의 스펙트럼 모델)

  • 김준효
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.33 no.3
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    • pp.218-225
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    • 1997
  • The formerly proposed spectral model of turbulent burning velocity is refined for nonstoichiometric hydrocarbon mixtures. Refinements are made in regard to the following two points : (1) an effect of the diffusivity of deficient reactant on the turbulent burning velocity and (2) consideration of increasing laminar name thickness with a decrease in the laminar burning velocity A comparison between the predicted turbulent velocities and the measured ones is made. The predictions by the refined spectral model agree quantatively well with the experimental results in the regime of practical equivalence ratio, but not in the high and low equivalence ratio regime.

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Diastereotopic $^1H-NMR$ Spectrum of Ethyl Octahydro-2,3-dioxo-6a-hydroxy-1-benzyl-cyclopenta[b]pyrrole-3a-carboxylate (Ethyl Octahydro-2,3-dioxo-6a-hydroxy-1-benzyl-cyclopenta[b]pyrrole-3a-carboxylate의 부분입체이성질성 핵자기공명 스펙트럼)

  • 김동우;김태흥;박영규;윤경원;서원준
    • YAKHAK HOEJI
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    • v.39 no.2
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    • pp.205-209
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    • 1995
  • Methylene protons of benzyl and ethyl ester in ethyl 1-benzyl-2, 3-dioxo-cyclopenta[b]-pyrrole-3a-carboxylate (A) exhibited opposite$^{1}$H-NMR spectral patterns mutually between magnetic equivalence and nonequivalence depending on concentration and temperature. The diastereotopic spectral data of compound A were reported with brief interpretation.

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Combustion Instability Comprehension with Combustion Chamber Length in Dual Swirl Gas Turbine Model Combustor from Flame Behaviors (화염거동을 통한 이중선회 가스터빈 모델 연소기에서 연소실 길이에 따른 연소 불안정성 이해)

  • Jang, Munseok;Lee, Keeman
    • 한국연소학회:학술대회논문집
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    • 2015.12a
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    • pp.233-235
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    • 2015
  • This study is to investigate the combustion instability of the variation of combustion chamber length in dual swirl gas turbine model combustor. When equivalence ratio was fixed at 1.1, as the length of the combustion chamber increases the value of the frequency decreased in 7kW while the value of the frequency was constant in 4kW. The analysis of flame behaviors by high speed camera was conducted to identify such trend.

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An Experimental Study on Combustion Characteristics of Radiant Burner (복사 버너의 연소특성에 관한 실험적 연구)

  • Wie, Jae-Hyug;Lee, Dae-Rae;Kim, Young-Soo;Jeon, Chung-Hwan
    • 한국연소학회:학술대회논문집
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    • 2006.04a
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    • pp.19-25
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    • 2006
  • Energy efficient and low pollution combustion systems the use gaseous fuels have been in great demand in recent year. Radiant burner in many different forms are emerging as very desirable combustion systems for same reason. Porous radiant burners are used in drying, preheating and curing, and in other type of materials processing and manufacturing processes. However, little knowledge is available about the operating characteristics and the structure of flames in porous ceramic fiber radiant burners. The objective of the present work is to investigate the global performance characteristics of the ceramic fiber burner. A detailed study which includes the spectral intensity, gas temperature, radiation efficiency and global pollutant emissions. Another objective is to study the flame structure of the ceramic fiber burner by measuring the local gas temperature. The results indicate that ceramic fiber burner do offer a 19-44% gain in radiant efficiency. The ceramic fiber burner exhibit significant spectral intensity peaks in the band at $2.0-2.5{\mu}m$. The local temperature distribution inside the mat and near the mat surface as a function of the equivalence ratio can be reasonably interpreted by the relation of the heat balance in the mat and movement of the reaction zone. Nox emission from ceramic fiber burner is less than 25ppm throughout the operating range.

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Experimental Study on Combustion Instability in a Dump Combustor (덤프 연소기에서의 연소불안정에 대한 실험적 연구)

  • An, Gyu-Bok;Yun, Yeong-Bin;Yu, Kenneth
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.12
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    • pp.35-40
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    • 2006
  • The combustion instability in a model dump combustor with an exhaust nozzle and the possibility of combustion control using a loudspeaker to these instabilities were studied. By changing inlet velocity, combustor length and equivalence ratio, dynamic pressure signals and flame structures were simultaneously taken. Because inlet velocity and combustor length affect the life time of vortex in the dump combustor, the results showed that as the combustor length increased and the inlet velocity decreased, the instability frequency decreased and the maximum power spectral density of the dynamic pressure generally decreased. Also, instability frequency and maximum power spectral density of the dynamic pressure increased with the increment of equivalence ratio. From the data of close-loop control, the optimum time-delay control using a loudspeaker was confirmed to be able to reduce the vortex shedding induced from the mixed acoustic-convective mode combustion instability.

Combustion Instability and Active Control in a Dump Combustor (덤프 연소기에서의 연소불안정과 능동제어에 대한 연구)

  • Ahn Kyu-Bok;Yu Kenneth;Yoon Young-Bin
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2005.11a
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    • pp.445-449
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    • 2005
  • The mixed acoustic-convective mode combustion instability and the possibility of combustion control using a loudspeaker to these instabilities were studied. By changing inlet velocity, combustor length and equivalence ratio, the dynamic pressure signals and the flame structures were simultaneously taken. The results showed that as the combustor length increased and the inlet velocity decreased, the instability frequency decreased and the maximum power spectral densities of the dynamic pressures generally decreased. The instability frequency could be affected by an equivalence ratio over the operating conditions. From the data of close-loop control, as the loudspeaker may work out-of-phase with the natural instability, the optimum time-delay controller was confirmed to be able to reduce the vortex shedding from the mixed acoustic-convective mode combustion instability.

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A Study on the Prediction of Self-absorption in Opposed Flames Using WSGGM-Based Spectral Model (파장별 회체가스중합모델을 이용한 대향류 화염에서의 복사 흡수 예측에 관한 연구)

  • Kim, Uk-Jung;Viskanta, Raymond;Gore, Jay Prabhakar;Zhu, Xuelei
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.4
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    • pp.600-609
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    • 2001
  • WSGGM based low-resolution spectral model for calculating radiation transfer in combustion gases is applied to estimate self-absorption of radiation energy in one-dimensional opposed flow flames. Development of such a model is necessary in order to enable detailed chemistry-radiation interaction calculations including self-absorption. Database of band model parameters which can be applied to various one-dimensional opposed flow diffusion and partially premixed flames is created. For the validation of the model and database, low resolution spectral intensities at fuel exit side are calculated and compared with the results of a narrow band model with those based on the Curtis-Godson approximation. Good agreements have been found between them. The resulting radiation model is coupled to the OPPDIF code to calculate the self-absorption of radiant energy and compared with the results of an optically thin calculation and the results of a discrete ordinates method in conjunction with the statistical narrow band model. Significant self-absorption of radiation is found for the flames considered here particularly for the fuel side of the reacting zone. However, the self-absorption does not have significant effects on the flame structure in this case. Even in the case of the low velocity diffusion flame and the partially premixed flame of low equivalence ratio, the effects of self-absorption of radiation on the flame temperature and production of minor species are not significant.

Rapid comparison of metabolic equivalence of standard medicinal parts from medicinal plants and their in vitro-generated adventitious roots using FT-IR spectroscopy (한약자원 품목별 표준시료와 기내 생산 부정근의 FT-IR 스펙트럼 기반 대사체 동등성 신속 비교)

  • Ahn, Myung Suk;Min, Sung Ran;Jie, Eun Yee;So, Eun Jin;Choi, So Yeon;Moon, Byeong Cheol;Kang, Young Min;Park, So-Young;Kim, Suk Weon
    • Journal of Plant Biotechnology
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    • v.42 no.3
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    • pp.257-264
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    • 2015
  • To determine whether metabolite fingerprinting for whole cell extracts based on Fourier transform infrared (FT-IR) spectroscopy can be used to discriminate and compare metabolic equivalence, standard medicinal parts from four medicinal plants (Cynanchum wilfordii Hemsley, Atractylodes japonica Koidz, Polygonum multiflorum Thunberg and Astragalus membranaceus Bunge) and their in vitro-produced adventitious roots were analyzed by FT-IR spectroscopy. The principal component analysis (PCA) and partial least square discriminant analysis (PLS-DA) from the FT-IR spectral data showed that the whole metabolic pattern from Cynanchum wilfordii was highly similar to Astragalus membranaceus. However, Atractylodes japonica and Polygonum multiflorum showed significantly different metabolic patterns. Furthermore, adventitious roots from Cynanchum wilfordii and Astragalus membranaceus also showed similar metabolic patterns compared to their standard medicinal parts. These results clearly show that mass proliferation of adventitious roots may be applied to aquire novel supply of standard medicinal parts from medicinal plants. However, the whole metabolic pattern from adventitious roots of Atractylodes japonica and Polygonum multiflorum were not similar to their standard medicinal parts. Furthermore, FT-IR spectroscopy combined with multivariate analyses established in this study may be applied as an alternative tool to discriminate the whole metabolic equivalence from several standard medicinal parts. Thus, we suggest that these metabolic discrimination systems may be applied for metabolic standardization of herbal medicinal resources.