• Title/Summary/Keyword: Differential reaction

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Energy Transfer of Methylene Blue on the Purple Membrane Incorporated into $L-{\alpha}-lecithin$ Vesicle by Photochemical Reaction Differential Scanning Calorimetry (Purple Membrane으로 재구성된 $L-{\alpha}-lecithin$ Vesicle에서 Photochemical Reaction Differential Scanning Calorimetry에 의한 Methylene Blue의 에너지 전달)

  • Kim, Ki-Jun;Sung, Ki-Chun;Lee, Hoo-Seol
    • Journal of the Korean Applied Science and Technology
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    • v.13 no.3
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    • pp.127-136
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    • 1996
  • Thermograms of methylene blue(MB) in $L-{\alpha}-lecithin$ vesicle and incorporated purple membrane vesicle(InPM) systems have been studied by photochemical reaction differential scanning calorimetry at $25{\sim}55^{\circ}C$. Phase transition temperatures of lecithin vesicle, purple membrane(PM), and InPM were found to be independent of illumination of light(436nm) at $39{\sim}40^{\circ}C$, but endothermic phase transition was found in InPM vesicle. In MB-InPM system, endothermic phase transition was found on unillumination of light at $40{\sim}42^{\circ}C$, but exothermic phase transition was found on steady illumination of light at $48{\sim}52^{\circ}C$. It was estimated that the light energy absorbed from MB on vesicular surface was transferred to PM, and the transferred energy was redistributed to hydrophobic site of membrane. Therefore, the exothermic phase transition was measured at high temperature because of the increased hydrophobicity of acyl chain.

A SCHWARZ METHOD FOR FOURTH-ORDER SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEM WITH DISCONTINUOUS SOURCE TERM

  • CHANDR, M.;SHANTHI, V.
    • Journal of applied mathematics & informatics
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    • v.34 no.5_6
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    • pp.495-508
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    • 2016
  • A singularly perturbed reaction-diffusion fourth-order ordinary differential equation(ODE) with discontinuous source term is considered. Due to the discontinuity, interior layers also exist. The considered problem is converted into a system of weakly coupled system of two second-order ODEs, one without parameter and another with parameter ε multiplying highest derivatives and suitable boundary conditions. In this paper a computational method for solving this system is presented. A zero-order asymptotic approximation expansion is applied in the second equation. Then, the resulting equation is solved by the numerical method which is constructed. This involves non-overlapping Schwarz method using Shishkin mesh. The computation shows quick convergence and results presented numerically support the theoretical results.

HIGHER ORDER FULLY DISCRETE SCHEME COMBINED WITH $H^1$-GALERKIN MIXED FINITE ELEMENT METHOD FOR SEMILINEAR REACTION-DIFFUSION EQUATIONS

  • S. Arul Veda Manickam;Moudgalya, Nannan-K.;Pani, Amiya-K.
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.1-28
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    • 2004
  • We first apply a first order splitting to a semilinear reaction-diffusion equation and then discretize the resulting system by an $H^1$-Galerkin mixed finite element method in space. This semidiscrete method yields a system of differential algebraic equations (DAEs) of index one. A priori error estimates for semidiscrete scheme are derived for both differ-ential as well as algebraic components. For fully discretization, an implicit Runge-Kutta (IRK) methods is applied to the temporal direction and the error estimates are discussed for both components. Finally, we conclude the paper with a numerical example.

Effect of a chemical reaction on magnetohydrodynamic (MHD) stagnation point flow of Walters-B nanofluid with newtonian heat and mass conditions

  • Qayyum, Sajid;Hayat, Tasawar;Shehzad, Sabir A.;Alsaedi, Ahmed
    • Nuclear Engineering and Technology
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    • v.49 no.8
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    • pp.1636-1644
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    • 2017
  • The main purpose of this article is to describe the magnetohydrodynamic stagnation point flow of Walter-B nanofluid over a stretching sheet. The phenomena of heat and mass transfer are based on the involvement of thermal radiation and chemical reaction. Characteristics of Newtonian heating are given special attention. The Brownian motion and thermophoresis models are introduced in the temperature and concentration expressions. Appropriate variables are implemented for the transformation of partial differential frameworks into sets of ordinary differential equations. Plots for velocity, temperature, and nanoparticle concentration are displayed and analyzed for governing parameters. The skin friction coefficient and local Nusselt and Sherwood numbers are studied using numerical values. The temperature and heat transfer rate are enhanced within the frame of the thermal conjugate parameter.

REMARKS ON CRITERIA FOR THE EXISTENCE OF A POSITIVE EQUILIBRIUM IN REACTION NETWORKS

  • Choo, S.M.
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.949-953
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    • 2011
  • It is interesting to know the behavior of a network from its structure. One interesting topic is to find a relation between the existence of a positive equilibrium of the reaction network and its structure. One approach to study this topic is using the concept of deficiency. Another is using some conditions on nodes, which can apply to large-size networks compared to deficiency. In this work, we show the relation between deficiency and the conditions.

AN ELEMENTARY PROOF OF THE EXISTENCE OF A POSITIVE EQUILIBRIUM IN REACTION NETWORKS

  • Choo, S.M.
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1545-1552
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    • 2010
  • It is interesting to know the behavior of a network from its structure. One interesting topic is to find a relation between the existence of a positive equilibrium of the reaction network and its structure. One approach to study this topic is using the concept of deficiency. In this work, we develop an algorithm and show an elementary proof of the relation based on the algorithm and deficiency.

AN ERROR ESTIMATION FOR MOMENT CLOSURE APPROXIMATION OF CHEMICAL REACTION SYSTEMS

  • KIM, KYEONG-HUN;LEE, CHANG HYEONG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.21 no.4
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    • pp.215-224
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    • 2017
  • The moment closure method is an approximation method to compute the moments for stochastic models of chemical reaction systems. In this paper, we develop an analytic estimation of errors generated from the approximation of an infinite system of differential equations into a finite system truncated by the moment closure method. As an example, we apply the result to an essential bimolecular reaction system, the dimerization model.

The Properties Analysis of 600V Grade Polyvinyl Chloride Insulated Wire with Variation of Thermal Stress (열적 스트레스 변화에 따른 600V 비닐절연전선의 특성 분석)

  • 최충석
    • Fire Science and Engineering
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    • v.15 no.1
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    • pp.108-115
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    • 2001
  • In this paper, we analyzed the properties change of electric wire when the thermal stress was applied to 600V grade polyvinyl chloride insulated wire (IV). In the structure analysis, normal wire has the properties of direction on the surface, but in case of deteriorated wire at above $400^{\circ}c$, it formed the carbide, the crack and the crystal. The surface composition rate of normal wire was Cu : 100%, but the section composition of the deteriorated wire at $800^{\circ}c$ showed Cu : 78.89%, O : 21.11%. In result of analyzing the differential scanning calory of copper wire, the new reaction peak was observed on the deteriorated wire at above $700^{\circ}c$. In case of the deteriorated wire as $150^{\circ}c$ at the differential thermal analysis, an endothermic reaction appeared at $264^{\circ}c$ lower than the reactive point of normal wire. The occupation rate of oxygen according to the deterioration of copper wire is about 20% at $500^{\circ}c$.

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Mining of Biomarker Genes from Expressed Sequence Tags and Differential Display Reverse Transcriptase-Polymerase Chain Reaction in the Self-fertilizing Fish, Kryptolebias marmoratus and Their Expression Patterns in Response to Exposure to an Endocrine-disrupting Alkylphenol, Bisphenol A

  • Lee, Young-Mi;Rhee, Jae-Sung;Hwang, Dae-Sik;Kim, Il-Chan;Raisuddin, Sheikh;Lee, Jae-Seong
    • Molecules and Cells
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    • v.23 no.3
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    • pp.287-303
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    • 2007
  • Expressed sequence tags (ESTs) and differentially expressed cDNAs from the self-fertilizing fish, Kryptolebias marmoratus were mined to develop alternative biomarkers for endocrine-disrupting chemicals (EDCs). 1,577 K. marmoratus cDNA clones were randomly sequenced from the 5'-end. These clones corresponded to 1,518 and 1,519 genes in medaka dbEST and zebrafish dbEST, respectively. Of the matched genes, 197 and 115 genes obtained Unigene IDs in medaka dbEST and zebrafish dbEST, respectively. Many of the annotated genes are potential biomarkers for environmental stresses. In a differential display reverse transcriptase-polymerase chain reaction (DD RT-PCR) study, 56 differential expressed genes were obtained from fish liver exposed to bisphenol A. Of these, 16 genes were identified after BLAST search to GenBank, and the annotated genes were mainly involved in catalytic activity and binding. The expression patterns of these 16 genes were validated by real-time RT-PCR of liver tissue from fish exposed to bisphenol A. Our findings suggest that expression of these 16 genes is modulated by endocrine disrupting chemicals, and therefore that they are potential biomarkers for environmental stress including EDCs exposure.

An Evaluation of Thermal Stability of Raw Materials in the Vinyl Acetate Polymerization Process (비닐아세테이트 중합공정에서 원료물질의 열적 안정성 평가)

  • Lee, Keun-Won;Han, In-Soo;Lee, Jung-Suk
    • Journal of the Korean Society of Safety
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    • v.25 no.3
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    • pp.61-65
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    • 2010
  • Most of the chemical reactions performed in the chemical industry are exothermic, meaning that thermal energy is released during the reaction. It is also important to understand the thermal hazards such as thermal stabilities and runaway reactions, which are governed by thermodynamics and reaction kinetics of the mixed materials. The paper was described the evaluation of thermal behavior caused by an exothermic batch process in manufacture of the vinyl acetate resin. The aim of the study was to evaluate the thermal stabilities of raw materials with operating conditions such as a reaction inhibitor, heating rate, reaction atmosphere and the mount of methanol charged in the vinyl acetate polymerization process. The experiments were performed in the differential scanning calorimeter(DSC), C 80 calorimeter, and thermal screening unit($TS^u$). It was suggested that we should provide the thermal characteristics for raw materials to present safe precautions with operating conditions in the vinyl acetate polymerization process.