• Title/Summary/Keyword: kinetic equation

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The Kinetic Study of Carbon Deposition in CO2 Reforming of CH4 (메탄의 이산화탄소 개질반응의 탄소퇴적속도에 관한 연구)

  • Lee, Dong-Kyu;Lee, Sung-Hee;Hwang, Kap-Sung;Kwon, Young-Du
    • Applied Chemistry for Engineering
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    • v.16 no.3
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    • pp.337-341
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    • 2005
  • This paper reports the study on coking rate and carbon formation route as a function of reaction temperature using the Ni catalysts in the $CO_2$ reforming of methane. In this paper, carbon deposition on catalysts and its kinetics during reforming reaction were studied by using a thermogravimetric analyzer. Kinetic studies show that reaction orders of carbon formation obtained 1.33 ($CH_4$) and -0.52 ($CO_2$) by experiments on partial pressure of reactant gas, respectively. On the basis of model equation, the kinetic parameters for the coking reaction at different temperatures indicated that methane decomposition dominated carbon formation at lower temperatures ($<600^{\circ}C$), while $CH_4$decomposition and Boudouard reactions become significant for coking in the temperature range of $600{\sim}700^{\circ}C$.

A Study on the Kinetic Energy and Dispersion Behavior of High-velocity Impact-induced Debris Using SPH Technique (SPH 기법을 이용한 고속충돌 파편의 운동에너지와 분산거동 연구)

  • Sakong, Jae;Woo, Sung-Choong;Kim, Tae-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.5
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    • pp.457-467
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    • 2016
  • In this study, we investigate the dispersion behavior of debris and debris cloud generated by high-velocity impacts using the smoothed particle hydrodynamics (SPH) technique. The projectile and target plate were made of aluminum, and we confirm the validity of the SPH technique by comparing the measured major and minor axis lengths of the debris cloud in the reference with the predicted values obtained through the SPH analysis. We perform high-velocity impact and fracture analysis based on the verified SPH technique within the velocity ranges of 1.5~4 km/s, and we evaluate the dispersion behavior of debris induced by the impact in terms of its kinetic energy. The maximum dispersion radius of the debris on the witness plates located behind the target plate was increased with increasing impact velocity. We derive an empirical equation that is capable of predicting the dispersion radius, and we found that 95% of the total kinetic energy of the debris was concentrated within 50% of the maximum dispersion radius.

Measurement of Honeycomb Turbulence in a Cavitation Tunnel Using Particle Image Velocimetry Method (PIV 기법을 이용한 캐비테이션 터널에서의 Honeycomb 난류 계측)

  • Ryu, Min-Cheol;Oh, Jung-Geun;Kim, Yoo-Chul;Koh, Won-Gyu;Lee, Youn-Mo;Suh, Jung-Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.1
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    • pp.42-53
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    • 2008
  • The two dimensional PIV (particle image velocimetry) measurement technique is applied to water flow in a narrow cavitation tunnel. The nearly homogeneous and isotropic turbulent flows are generated by the honeycomb installed in the tunnel and visualized with a PIV technique. The velocities in the measurement plane at the tunnel centerline 184cm downward from the honeycomb were measured and calculated by an image correlation technique. The turbulent properties are evaluated and each term in the turbulent kinetic energy equation is calculated for the conditions with different internal pressures. Lowering the internal pressure gives an effect on the turbulent flow due to growing bubbles which are resolved in the water. The turbulent kinetic energy in the measurement plane is decayed much slower than those of other research results carried out with wind tunnels. With decreasing the tunnel internal pressures the turbulent intensities are increased about 1.5 times and the anisotropic tendency is also increased.

Characterization of Bottom Ash as an Adsorbent of Lead from Aqueous Solutions

  • Gorme, Joan B.;Maniquiz, Marla C.;Kim, Soon-Seok;Son, Young-Gyu;Kim, Yun-Tae;Kim, Lee-Hyung
    • Environmental Engineering Research
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    • v.15 no.4
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    • pp.207-213
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    • 2010
  • This study investigated the potential of using bottom ash to be used as an adsorbent for the removal of lead (Pb) from aqueous solutions. The physical and chemical characteristics of bottom ash were determined, with a series of leaching and adsorption experiments performed to evaluate the suitability of bottom ash as an adsorbent material. Trace elements were present, such as silicon and aluminum, indicating that the material had a good adsorption capacity. All heavy metals leached during the Korea standard leaching test (KSLT) passed the regulatory limits for safe disposal, while batch adsorption experiments showed that bottom ash was capable of adsorbing Pb (experimental $q_e$ = 0.05 mg/g), wherein the adsorption rate increased with decreasing particle size. The adsorption data were then fitted to kinetic models, including Lagergren first-order and Pseudo-second order, as well as the Elovich equation, and isotherm models, including the Langmuir, Freundlich and Dubinin-Radushkevich isotherms. The results showed that pseudo-second order kinetics was the most suitable model for describing the kinetic adsorption, while the Freundlich isotherm best represented the equilibrium sorption onto bottom ash. The maximum sorption capacity and energy of adsorption of bottom ash were 0.315 mg/g and 7.01 KJ/mol, respectively.

Kinetic Study on the Epoxidation of Allyl Chloride by t-Butyl Hydroperoxide over Mo/SiO2 Catalyst (Mo/SiO2 촉매상에서 t-Butyl hydroperoxide에 의한 염화알릴의 에폭시화반응에 관한 속도론적 연구)

  • Kim, Sung-Woo;Park, Dae-Won;Chung, Jong-Shik;Park, Dae-Chul
    • Applied Chemistry for Engineering
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    • v.3 no.4
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    • pp.649-656
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    • 1992
  • The synthesis of epichlorohydrin was carried out by the epoxidation of allyl chloride with tert-butyl hydroperoxide(TBHP) over silica supported molybdenum catalyst. Kinetic study was performed at $60-80^{\circ}C$ and 10 atm with the molar ratio of TBHP/Allyl chloride between 0.01 and 0.1 in a batch reactor. The epoxidation of allyl chloride was inhibited by tert-butyl alcohol and kinetic data could be represented by Michaelis-Meten type rate equation. The reaction mechanism could be explained by the combination of reversible adsorption of TBHP and tert-butyl alcohol accompanied by reaction of allyl chloride with TBHP adsorbed on $Mo/SiO_2$ catalyst.

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Effect of current density and contact time on membrane fouling in electrocoagulation-MBR and their kinetic studies on fouling reduction rate (전기응집-MBR 공정의 전류밀도와 접촉시간이 막 오염에 미치는 영향과 막 오염 저감 속도론적 고찰)

  • Um, Se-Eun;Chang, In-Soung
    • Journal of Korean Society of Water and Wastewater
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    • v.31 no.4
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    • pp.321-328
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    • 2017
  • Recently EC-MBR (Elctrocoagulation - Membrane Bio Reactor) has been suggested as one of alternative processes to overcome membrane fouling problems. Most important operational parameters in the EC-MBR are known to current density and contact time. Their effect on membrane filtration performances has been reported well, however, quantitative interrelationship between both parameters not been investigated yet. The purpose of this study is to give a kinetic model suggesting the current density and the contact time required to reduce the membrane fouling. The 4 different set of current densities (2.5, 6, 12 and $24A/m^2$) and contact times (0, 2, 6 and 12 hr) were selected as operational parameters. After each electro-coagulation under the 16 different conditions, a series of membrane filtration was carried out. The membrane fouling decreased as the current density and contact time increased, Total fouling resistances under different conditions, $R_t(=R_c+R_f)$ were calculated and compared to those of the controls ($R_0$), which were calculated from the data of experiments without electro-coagulation. A kinetic approach for the fouling reduction rate ($R_t/R_0$) was carried out and the equation ${\rho}^{0.46}_it=7.0$ was obtained, which means that the product of current density and the contact time needed to reduce the fouling in certain amounts (in this study, 10% of fouling reduction) is always constant.

Determination of Biological kinetic Parameters for Pharmaceutical Wastewater (제약 폐수의 생물학적 동력학 계수 측정)

  • Lee Young-Rak;Choi Kwang-Keun;Lee Jin-Won
    • KSBB Journal
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    • v.21 no.1 s.96
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    • pp.49-53
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    • 2006
  • The aim of this research is to estimate the values of biological kinetic parameters of pharmaceutical wastewater for understanding biochemical properties. Maximum specific growth rate (${\mu}m$), yield coefficient (Y), and half-velocity coefficient (KS) were determined using oxygen uptake rate (OUR), and the results were 10.49/day (0.437/hr), 0.655, and 38.89 mg/L, respectively. Measured ${\mu}max$ by nonlinear regression of Monod equation was 10.63/day (or 0.443/hr), and this value was similar with above result. These parameters may be used to increase efficiency of pharmaceutical wastewater treatment and to determine amount of oxygen needed to removal BOD and dissolved oxygen in activated sludge process.

Production of Methyl Ester from Coconut Oil using Microwave: Kinetic of Transesterification Reaction using Heterogeneous CaO Catalyst

  • Mahfud, Mahfud;Suryanto, Andi;Qadariyah, Lailatul;Suprapto, Suprapto;Kusuma, Heri Septya
    • Korean Chemical Engineering Research
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    • v.56 no.2
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    • pp.275-280
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    • 2018
  • Methyl ester derived from coconut oil is very interesting to study since it contains free-fatty acid with chemical structure of medium carbon chain ($C_{12}-C_{14}$), so the methyl ester obtained from its part can be a biodiesel and another partially into biokerosene. The use of heterogeneous catalysts in the production of methyl ester requires severe conditions (high pressure and high temperature), while at low temperature and atmospheric conditions, yield of methyl ester is relatively very low. By using microwave irradiation trans-esterification reaction with heterogeneous catalysts, it is expected to be much faster and can give higher yields. Therefore, we studied the production of methyl ester from coconut oil using CaO catalyst assisted by microwave. Our aim was to find a kinetic model of methyl ester production through a transesterification process from coconut oil assisted by microwave using heterogeneous CaO catalyst. The experimental apparatus consisted of a batch reactor placed in a microwave oven equipped with a condenser, stirrer and temperature controllers. Batch process was conducted at atmospheric pressure with a variation of CaO catalyst concentration (0.5; 1.0; 1.5; 2.0, 2.5%) and microwave power (100, 264 and 400 W). In general, the production process of methyl esters by heterogeneous catalyst will obtain three layers, wherein the first layer is the product of methyl ester, the second layer is glycerol and the third layer is the catalyst. The experimental results show that the yield of methyl ester increases along with the increase of microwave power, catalyst concentration and reaction time. Kinetic model of methyl ester production can be represented by the following equation: $-r_{TG}=1.7{\cdot}10^6{_e}{\frac{-43.86}{RT}}C_{TG}$.

Solvolysis of 2-Thiophenesulfonyl Chloride (2-염화티오펜술포닐의 가용매 분해반응)

  • Jin-Chel Choi;Jieun Oh;Dae Ho Kang;In Sun Koo;Ikchoon Lee
    • Journal of the Korean Chemical Society
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    • v.37 no.8
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    • pp.695-701
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    • 1993
  • Rate constants of solvolysis of 2-thiophenesulfonyl chloride were determined in aqueous binary mixtures with methanol, ethanol, acetone in water and in methanol. These data are interpreted using the equation of Grunwald-Winstein and Kivinen relationship. Also, kinetic solvent isotope effects in water and in methanol and product selectivities in alcohol-water mixtures were determined. Kinetic solvent isotope effect for hydrolysis of 2-thiopenesulfonyl chloride was 2.24 and 1.47 for methanol and water, respectively. Selectivity values for formation of ester relative to acid in ethanol-water mixtures show maximum S value. From kinetic solvent isotope effect in methanol and water, selectivity data in aqueous alcoholic solvents and solvent effects, it is proposed that the reaction channel favoured in low polarity solvents is general-base catalysis and/or is possibly addition elimination (S$_A$N) reaction pathway and in high polarity solvents iS S$_N$2 reaction mechanism.

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Anaerobic codigestion of urban solid waste fresh leachate and domestic wastewaters: Biogas production potential and kinetic

  • Moujanni, Abd-essamad;Qarraey, Imane;Ouatmane, Aaziz
    • Environmental Engineering Research
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    • v.24 no.1
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    • pp.38-44
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    • 2019
  • The Biochemical Methane Potential (BMP) of fresh leachate and domestic wastewaters codigestion was determined by laboratory Bach Tests at $35^{\circ}C$ over a period of 90 d using a wide range of leachates volumetric ratios from 0% to 100%. To simulate wastewaters plant treatment step, all the ratios were first air stripped for 48 h before anaerobic incubation. The kinetic of biogas production was assessed using modified Gompertz model and exponential equation. The results obtained showed that cumulative biogas production was insignificant in the case of wastewaters monodigestion while the codigestion significantly improves the BMP. Air stripping pretreatment had positive effect on both ammonium concentration and volatiles fatty acids with reduction up to 75% and 42%, respectively. According to the Modified Gompertz model, the optimal anaerobic co-digestion conditions both in terms of maximal biogas potential, start-up period and maximum daily biogas production rate, could be achieved within large leachate volumetric ratios from 25% to 75% with a maximum BMP value of 438.42 mL/g volatile solid at 50% leachate ratio. The positive effect of codigestion was attributed to a dilution effect of chemical oxygen demand and volatile fatty acid concentrations to optimal range that was between 11.7 to $32.3gO_2/L$ and 2.1 to 7.4 g/L, respectively. These results suggested that the treatment of fresh leachate by their dilution and co digestion at wastewaters treatment plants could be a promising alternative for both energetic and treatment purposes.