• Title/Summary/Keyword: reaction diffusion system

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Cn-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF CLASS r IN THE 𝛼-NORM UNDER THE LIGHT OF MEASURE THEORY

  • DJENDODE MBAINADJI
    • Journal of Applied and Pure Mathematics
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    • v.6 no.1_2
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    • pp.71-96
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    • 2024
  • In this paper we present many interesting results such as completeness and composition theorems in the 𝛼 norm. Moreover, under some conditions, we establish the existence and uniqueness of Cn-(𝜇, 𝜈) pseudo-almost automorphic solutions of class r in the 𝛼-norm for some partial functional differential equations in Banach space when the delay is distributed. An example is given to illustrate our results.

A numerical study on soot formation in ethylene diffusion flames under 1g and 0g (1g와 0g에서의 에틸렌 확산화염 내 매연 생성 특성에 관한 수치적 연구)

  • Choi, Jae-Hyuk;Park, Sang-Kyun
    • Journal of Advanced Marine Engineering and Technology
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    • v.37 no.8
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    • pp.807-815
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    • 2013
  • A numerical study on soot formation in a laminar ethylene diffusion flame at atmospheric pressure was conducted to obtain a better understanding of the effects of buoyancy on sooting flames under 0g and 1g using a gas-phase reaction mechanism and thermal and transport properties. A simple model was employed to predict soot formation, growth and oxidation with interactions between the gas phase chemistry and the soot chemistry taken into account. Results showed that the flames in 0g are much wider than that of 1g because of the thicker diffusion layer and reduction in axial velocity. The reduction in the axial velocity in 0g results in longer residence times, and resulting in greatly enhanced soot volume fraction. And, under zero-gravity, due to the lack of a buoyancy-induced instability, flame instability disappears.

The Adhesion Strength and Interface Chemical Reaction of Cu/Ni/Polyimide System (Cu/Ni/Polyimide 시스템의 접착력 및 계면화학반응)

  • Choi, Chul-Min;Chae, Hong-Chul;Kim, Myung-Han
    • Korean Journal of Materials Research
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    • v.17 no.12
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    • pp.664-668
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    • 2007
  • The magnetron sputtering was used to deposit Ni buffer layers on the polyimide surfaces to increase the adhesion strength between Cu thin films and polyimide as well as to prevent Cu diffusion into the polyimide. The Ni layer thickness was varied from 100 to $400{\AA}$. The adhesion strength increased rather significantly up to $200{\AA}$ of Ni thickness, however, there was no significant increase in strength over $200{\AA}$. The XPS analysis revealed that Ni thin films could increase the adhesion strength by reacting with the polar C=O bonds on the polyimide surface and also it could prevent Cu diffusion into the polyimide. The Cu/Ni/ polyimide multilayer thin films showed a high stability even at the high heating temperature of $200^{\circ}C$, however, at the temperature of $300^{\circ}C$, Cu diffused through the Ni buffer layer into polyimide, resulting in the drastic decrease in adhesion strength.

An Experimental Study on Flame Structure and Combustion Characteristics of Turbulent Diffusion Flame(I) (난류확산화염의 화염구조와 연소특성에 관한 실험적 연구)

  • Choe, Byeong-Ryun;Jang, In-Gap;Choe, Gyeong-Min
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.3
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    • pp.1028-1039
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    • 1996
  • This study was focused on the examination of the flame structure and the combustion characteristics of diffusion flame which was formed the turbulent shear flow of a double coaxial air jet system. The shear flow was formed by the difference velocity of surrounding air jet(U$\_$s/) and center air jet (U$\_$c/). So experimental condition was divided S-type flame (.lambda. > 1) and C-type flame (.lambda. < 1) by velocity ratio .lambda. (=U$\_$s//U$\_$c/). For examination of the flame structure and the combustion characteristics in diffusion flame, coherent structure was observed in flame by schlieren photograph method. We measured fluctuating temperature and ion current simultaneously and accomplished the statistical analysis of its. According to schlieren photograph, the flame was stabilized in the rim of the direction of lower velocity air jet, coherent eddy was produced and developed by higher velocity air jet. The statistical data of fluctuating temperature and ion current was indicated that reaction was dominated by higher velocity air jet. The mixing state of burnt gas and non-burnt gas was distributed the wide area at Z = 100 mm of C-type flame.

The Study of Reaction Bonded Silicon Nitride Fabricated Under Static Nitrogen Pressure (일정 질소압에서 제조된 반응결합 질화규소에 관한 연구)

  • Choi, Myoung-Je;Roh, Tae-Wook;Park, Chan;Park, Dong-Soo;Kim, Hai-Doo
    • Journal of the Korean Ceramic Society
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    • v.37 no.5
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    • pp.505-510
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    • 2000
  • In this investigation, we fabricated RBSN (Reaction Bonded Silicon Nitride) using the static nitriding system which could be advantageous for commercialization. Firstly, Si compacts of different sizes were made, and then nitridation rates were investigated as a function of added static gas pressure. The reaction schedule was obtained by pre-experiments. In case of small samples, the variation of ${\alpha}$, ${\beta}$ phases between the inside and the outside region of the specimens was examined after the samples were nitrided under 1 bar and 1.5 bar reaction pressure. On the other hand, large samples of Si compact with the size of 36 mm for diameter and 23 mm for thickness were nitrided for 26 hours of the total nitridation time, which showed a complete and homogeneous nitriding reaction from the outside to the inside of the samples, although the time was considerably shorter than that needed for convertional nitridation. Nitridation rates obtained at the early stage of reaction were proportional to the reaction gas pressures. The sequences of the nitridation reaction with the thickness were as follows 1) the outside, 2) the inside and 3) the intermediate area of the specimen. These results wer eobtained from the coloration of cross sectioned specimens that had various nitridation rates. Total nitriding reaction kinetics was controlled by chemical reaction, not by diffusion of the nitrogen gas.

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Development of an Apparatus for the Determination of In Vitro Metabolic Rate Constants of Volatile Organic Chemicals (휘발성 유기용매의 In vitro 대사속도 측정 장치의 개발)

  • Hwang, In-Young;Lee, Yoon
    • Environmental Analysis Health and Toxicology
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    • v.12 no.3_4
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    • pp.43-54
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    • 1997
  • Species, doses and routes extrapolation can be sucessfully carried out by using a physiologically-based pharmacokinetic (PBPK) approach. And PBPK approach to assess risk of hazardous chemicals is reasonable whatever the exposure scenarios are happened. Both partitioning coefficients of chemical between tissue and blood and enzymatic metabolic rate constants are key parameters to build up the PBPK model. In this study, we tried to estimate in vitro metabolic rate constants using a special apparatus instead to measure the in vivo constants which are used to PBPK simulation since the in vitro tests are less expensive and more convenient than in vivo tests. For the purpose, we designed and tested the new system to measure continuously the headspace concentration of VOC. The newly designed system is composed with a diffusion chamber which generates gaseous substrate, a reaction vessel with a recirculating pump to establish a closed system, an autbmatic sampler from a gas phase, a gas chromatography to analyze the headspace. In addition, a cold water condenser is attached between the reaction vessel and pump to reduce the content of gaseous moisture which interferes with chemical analysis. To validate the newly developed methodology, in vitro metabolic rate constants of trichloroethylene (TCE) as a prototype VOC were estimated by simulating observed results with an ACSL program. The simulated results are consistent to those estimated by the other research groups. This finding suggests that our newly designed closed system may be a useful apparatus to estimate in vitro metabolic rate constants for VOC.

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Kinetic Studies on the Reduction of 1-Benzyl-3-cyanoquinolinium Cations by Sodium Borohydride and the Applicability Marcus Theory

  • Han, In-Sook;Lee, Chang-Kiu;Han, In-Sup
    • Bulletin of the Korean Chemical Society
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    • v.8 no.2
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    • pp.79-83
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    • 1987
  • The reduction of a series of 1-substituted benzyl-3-cyanoquinolinium ions (p-$cH_3$, H, p-Br, m-F, p-CN) by sodium borohydride has been investigated. In all cases the products from these reactions were found to be 1, 2-dihydroquinolines over 82% yields. Rates of reduction were measured in basic condition and in solvent system consisting of 4 parts of isopropyl alcohol and 1 part of water by volume. Second order rate constants were obtained for these reactions. When the ratio of [$OH^-$] to [$BH_4^-$] becomes large the observed rate constants ($K_{obs}$) decrease by a small factor. Reaction scheme and rate law are discussed. Bronsted ${\alpha}(=\frac{d\;In\;k}{d\;In\;K})$ obtained by using the value of equilibrium constant K, which was obtained previously, was not 0. Instead, a value of 0.36 was obtained which indicated that the reduction by borohydride was structure-dependent according to the Marcus formalism even though the reaction rate was close to the diffusion limit.

Studies on Whole Cell Immobilized Glucose Isomerase - II. Operational Studies on the Batchwise and Continuous Isomerization of D-Glucose - (포도당 이성화 효소의 세포 고정화에 관한 연구 - 제 2 보 : 회분식 및 연속 반응조를 사용한 포도당의 이성화 -)

  • Ahn, Byung-Yoon;Byun, Si-Myung
    • Korean Journal of Food Science and Technology
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    • v.11 no.4
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    • pp.249-257
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    • 1979
  • Using the whole cell immobilized glucose isomerase which was prepared in the previous work (Korean J. Food Sci. & Technol., 11(3), 192 (1979), the specific activity of the immobilized enzyme was 48.1 units in the batch reaction system and 114 units in the continuous reaction system per g of matrix, respectively. In the continuous reactor the voidity was 0.36, which was suitable for the packed bed reactor. This immobilized enzyme showed a good operational stability of 115 days of half life which was sufficient for the continuous operation. The experimental result showed that 55 % of the substrate was converted to the product in the packed bed reactor. The productivity was dependent on the flow rate, column geometry, enzyme loading, and substrate concentration. An intrapaticle diffusion was observed by the effectiveness factor of 0.75 and interparticle diffusion by the decrease of Km' with increasing the superficial velocity.

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Experiment on the Characteristics of Jet Diffusion Flames with High Temperature Air Combustion (고온공기를 이용한 제트확산화염의 연소특성에 관한 실험)

  • Cho, Eun-Seong;Ohno, Ken;Kobayashi, Hideaki;Chung, Suk-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.3
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    • pp.359-364
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    • 2004
  • For the development of high efficiency and low emission combustion systems, high temperature air combustion technology has been tested by utilizing preheated air over 1100 K and exhaust gas recirculation. In this system, combustion air is diluted with large amount of recirculated exhaust gases, such that the oxygen concentration is relatively low in the reaction zone, leading to low flame temperature. Since, the temperature fluctuations and sound emissions from the flame are small and flame luminosity is low, the combustion mode is expected to be flameless or mild combustion. Experiment was performed to investigate the turbulent flame structure and NO$_x$ emission characteristics in the high temperature air combustion focused on coflowing jet diffusion flames which has a fundamental structure of many practical combustion systems. The effect of turbulence has also been evaluated by installing perforated plate in the oxidizer inlet nozzle. LPG was used as a fuel. Results showed that even though NO$_x$ emission is sensitive to the combustion air temperature, the present high temperature air combustion system produce low NO$_x$ emission because it is operated in low oxygen concentration condition by the high exhaust gas recirculation.

An Experimental Study of the Characteristics with High Temperature Air Combustion in Jet Diffusion Flames (제트확산염의 고온공기연소특성에 관한 실험적 연구)

  • Cho, Eun-Seong;Ohno, Ken;Kobayashi, Hideaki;Chung, Suk-Ho
    • 한국연소학회:학술대회논문집
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    • 2003.12a
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    • pp.89-94
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    • 2003
  • For the development of high efficiency and low emission combustion systems, high temperature air combustion technology has been tested by utilizing preheated air over 1100 K and exhaust gas recirculation. In this system, combustion air is diluted with large amount of exhaust gases ($N_2$, $CO_2$), such that the oxygen concentration is relatively low in the reaction zone, leading to low flame temperature. Since, the temperature fluctuations and sound emissions form the flame are small and flame luminosity is low, the combustion mode is expected to be flameless or mild combustion. Experiment was performed to investigate the turbulent flame structure and $NO_X$ emission characteristics in the high temperature air combustion focused on coflowing jet diffusion flames which has a fundamental structure of many practical combustion systems. The effect of turbulence has also been evaluated by installing perforated plate in the oxidizer inlet nozzle. LPG was used as a fuel. Results showed that even though $NO_X$ emission is sensitive to the combustion air temperature, the present high temperature air combustion system produce low $NO_X$ emission because it is operated in low oxygen concentration condition in excess of dilution.

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