• Title/Summary/Keyword: Langmuir Model

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Development of Wall Slip Models for Rarefied Gas and MEMS Thermal Fluid Flows (희박기체 및 MEMS 열유동장 해석을 위한 벽면 슬립모델 개발)

  • Myong, Rho-Shin;Cho, Soo-Yong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.7
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    • pp.90-97
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    • 2002
  • Wall slip models are essential to the study of nonequilibrium gas transport in rarefied and microscale condition that can be found in gas flows associated with aerospace vehicle, propulsion system, and MEMS. The Maxwell slip model has been used for this type of problem, but it has difficulty in defining the so-called accommodation coefficient and has not been very effective in numerical implementation. In the present study, on the basis of Langmuir's theory of the adsorption of gases on metals, a physical slip model is developed. The concept of the accommodation coefficient and the difference of gas particles are clearly explained in the new model. It turned out that the Langmuir model recovers the Maxwell model in the first-order approximation. The new models are also applied to various situations including internal flow in a microchannel. Issues of validation of models are treated by comparing analytic results with experiment.

A Determination Method of Optimum Combination Ratio of Two Kind Activated Carbon with Different Adsorbability (상이한 흡착 능을 가진 두 가지 활성탄의 적정 배합 비를 결정하는 방법)

  • Park, Young Tae;Im, Cheul Gyu;Kim, Yeon Tae;Rhee, Bosung
    • Korean Chemical Engineering Research
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    • v.49 no.4
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    • pp.456-459
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    • 2011
  • Among the various activated carbons available in the market, an optimum mixing method of two kind activated carbons with different adsorbability was investigated in this study. The representative adsorption behaviors of the activated carbon are the adsorption isotherm plots obtained by the BET-Analysis which suggests also basic information of adsorption filter design. So we have tested three cases with certifications, the one was the extreme case of coal cokes based activated carbon with highest BET-model and coconut-shell based activated carbon with the lowest Langmuir-model, the other middle and cross case were applied this method to two kinds of activated carbons with higher and lower specific surface areas which are not available but supplied as research samples by an authority of an Korean Research Institute.

Adsorption Characteristics of Cd, Cu, Pb and Zn from Aqueous Solutions onto Reed Biochar

  • Choi, Ik-Won;Kim, Jae-Hoon;Lee, Soo-Hyung;Lee, Jae-Kwan;Seo, Dong-Cheol;Cho, Ju-Sik
    • Korean Journal of Soil Science and Fertilizer
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    • v.49 no.5
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    • pp.489-494
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    • 2016
  • Carbon-based sorbents such as biochar and activated carbon have been proven to be cost-effective in removing pollutants containing heavy metals from wastewater. The aim of this study was using batch experiment to evaluate the adsorption characteristics of heavy metals in single-metal conditions onto reed biochar for treating wastewater containing heavy metals. The removal rates of heavy metals were in the order of Pb > $Cu{\fallingdotseq}Cd{\fallingdotseq}Zn$, showing the adsorption efficiency of Pb was higher than the other heavy metals. Freundlich and Langmuir adsorption isotherms were used to model the equilibrium adsorption data obtained from adsorption of Pb on reed biochar. For reed biochar, the Langmuir model provided a slightly better fit than the Freundlich model. Lead was observed on the biochar surface after adsorption by scanning electron microscopy (SEM) and energy dispersive X-ray spectroscopy (EDS). The main functional groups of reed biochar were aromatic carbons. Overall, the results suggested that reed biochar could be useful adsorbent for treating wastewater containing Pb.

Adsorption of Pb and Cu from Aqueous Solution by β-Glucan Crosslinked with Citric Acid (베타글루칸과 구연산의 교차결합 바이오 폴리머 흡착제를 이용한 수용액내 납과 구리의 흡착)

  • Jeon, Han Gyeol;Kim, Kyoung-Woong
    • Economic and Environmental Geology
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    • v.55 no.4
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    • pp.367-376
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    • 2022
  • One of biopolymer, β-glucan (BG) chains were crosslinked by citric acid under the heating condition for the adsorption of Pb and Cu ions in the aqueous solution. The variation of functional groups on BG itself and crosslinked β-glucan (CBG) with their surface adsorption characteristics were investigated by FTIR and SEM-EDX. Adsorption kinetic results showed that adsorption of Pb and Cu onto the CBG followed the pseudo-second-order kinetic model and intra-particle diffusion model. The Langmuir adsorption model was depicted better adsorption characteristics than the Freundlich model. The adsorption capacities of Pb and Cu onto the CBG estimated by the Langmuir model were 59.70 and 23.44 mg/g, respectively. This study suggested that CBG may act as an eco-friendly adsorbent for the adsorption of Pb and Cu in the aqueous solution.

Adsorption Characteristics Analysis of 2,4-Dichlorophenol in Aqueous Solution with Activated Carbon Prepared from Waste Citrus Peel using Response Surface Modeling Approach (반응표면분석법을 이용한 폐감귤박 활성탄에 의한 수중의 2,4-Dichlorophenol 흡착특성 해석)

  • Lee, Chang-Han;Kam, Sang-Kyu;Lee, Min-Gyu
    • Korean Chemical Engineering Research
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    • v.55 no.5
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    • pp.723-730
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    • 2017
  • The batch experiments by response surface methodology (RSM) have been applied to investigate the influences of operating parameters such as temperature, initial concentration, contact time and adsorbent dosage on 2,4-dichlorophenol (2,4-DCP) adsorption with an activated carbon prepared from waste citrus peel (WCAC). Regression equation formulated for the 2,4-DCP adsorption was represented as a function of response variables. Adequacy of the model was tested by the correlation between experimental and predicted values of the response. A fairly high value of $R^2$ (0.9921) indicated that most of the data variation was explained by the regression model. The significance of independent variables and their interactions were tested by the analysis of variance (ANOVA) and t-test statistics. These results showed that the model used to fit response variables was significant and adequate to represent the relationship between the response and the independent variables. The kinetics and isotherm experiment data can be well described with the pseudo-second order model and the Langmuir isotherm model, respectively. The maximum adsorption capacity of 2,4-DCP on WCAC calculated from the Langmuir isotherm model was 345.49 mg/g. The rate controlling mechanism study revealed that film diffusion and intraparticle diffusion were simultaneously occurring during the adsorption process. The thermodynamic parameters indicated that the adsorption reaction of 2,4-DCP on WCAC was an endothermic and spontaneous process.

Adsorption Characteristics of As and Se Ions by HTMAB Modified Anthracite (HTMAB로 표면처리된 안트라사이트에 의한 비소 및 셀렌 이온의 흡착 특성)

  • Kim, Jeung-Bea
    • Journal of Environmental Science International
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    • v.27 no.3
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    • pp.167-177
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    • 2018
  • The removal characteristics of As and Se ions from aqueous solution by hexadecyl trimethyl ammonium bromide (HTMAB) modified anthracite (HTMAB-AT) were investigated under various conditions of contact time, pH and temperature. When the pH is 6, the zeta potential value of anthracite (AT) is -24 mV and on the other hand, the zeta potential value of the HTMAB-AT is +44 mV. It can be seen that the overall increase of about 60 mV. Increasing the (+) potential value indicates that the surface of the adsorbent had a stronger positive charge, so adsorption for the anion metal was increased. The isotherm data was well described by Langmuir and Temkin isotherm model. The maximum adsorption capacity was found to be 7.81 and 6.89 mg/g for As and Se ions from the Langmuir isotherm model at 298 K, respectively. The kinetic data was tested using pseudo first and pseudo second order models. The results indicated that adsorption fitted well with the pseudo second order kinetic model. The mechanism of the adsorption process showed that adsorption was dependent on intra particle diffusion model according to two step diffusion. The thermodynamic parameters(${\Delta}G^{\circ}$, ${\Delta}H^{\circ}$, and ${\Delta}S^{\circ}$) were also determined using the equilibrium constant value obtained at different temperatures. The thermodynamic parameters indicated that the adsorption process was physisorption, and also an endothermic and spontaneous process.

Biosorption of Lead ions onto Laminaria japonica and Kjellmaniella crassifolia : Equilibrium and Kinetic Modelling (Laminaria japonica와 Kjellmaniella crassifolia를 이용한 Pb의 생체흡착 : 흡착속도 및 흡착평형 모델링)

  • Lee, Chang-Han;Ahn, Kab-Hwan
    • Journal of Korean Society of Environmental Engineers
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    • v.27 no.11
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    • pp.1238-1243
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    • 2005
  • The batch experiments of biosorption were carried out for the removal of lead ion from metal solution using Laminaria japonica and Kjellmaniella crassifolia, two species of marine algaes as biosorbent. We have investigated biosorption kinetics and equilibrium of lead by using marine algaes. We observed that biosorption of lead occurred very rapidly by marine algaes ; the biosorption reached equilibrium less than 2 hr. These experimental data could be accurately described by a pseudo-second-order rate equation, obtaining values between $0.883{\times}10^{-3}$ and $0.628{\times}10^{-3}\;g/mg/min$ for the biosorption rate constant $k_{2,ad}$. It could be described with Langmuir, Redlich-Peterson, and Koble-Corrigan(Langmuir-Freundlich) equation. The biosorption capacity by L. japonica and K. crassifolia were in the sequence of Pb>Cd>Cr>Cu and Pb>Cu>Cd>Cr, respectively. The biosorption capacity of L. japonica were increased with pH increasing.

Adsorption Characteristics of Cobalt Ion with Zeolite Synthesized by Coal Fly Ash (석탄계 비산재로 합성한 제올라이트를 이용한 코발트 이온의 흡착특성)

  • Lee, Chang-Han;Suh, Jung-Ho
    • Journal of Korean Society of Environmental Engineers
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    • v.31 no.11
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    • pp.941-946
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    • 2009
  • Two types of synthetic zeolites, commercially used (Z-WK) and synthesized by coal fly ash (Z-C1), and raw coal fly ash(F-C1) were examined for its kinetics and adsorption capacities of cobalt. Experimental data are fitted with kinetic models, Lagergen $1^{st}$ and $2^{nd}$ order models, and four types of adsorption isotherm models, Langmuir, Freundlich, Redlich-Peterson, and Koble-Corrigan. Synthesized zeolite (Z-C1) which had 1.51 of Si/Al ratio was synthesized by raw coal fly ash from a thermal power plant. Adsorption capacities with three types of adsorbents, Z-WK, Z-C1, and F-C1, were in the order of Z-C1 (94.15 mg/g) > F-C1 (92.94 mg/g) > Z-WK (88.56mg/g). The adsorption kinetics of Z-WK and Z-C1 with cobalt could be accurately described by a pseudo-second-order rate equation. The adsorption isotherms of Z-WK and Z-C1 with cobalt were well fitted by the Langmuir and Redlich-Peterson equation. Z-C1 will be used to remove cobalt in water as a more efficient absorbent.

Adsorption Characteristics of 2,4-Dichlrophenol by Magnetic Activated Carbon Prepared from Waste Citrus Peel (폐감귤박으로 제조한 자성 활성탄을 이용한 2,4-디클로로페놀의 흡착특성)

  • Kam, Sang-Kyu;Lee, Min-Gyu
    • Applied Chemistry for Engineering
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    • v.29 no.4
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    • pp.388-394
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    • 2018
  • The removal of 2,4-dichlorophenol (2,4-dichlorophenol, 2,4-DCP) in aqueous solution was studied using the magnetic activated carbon (MAC) prepared from waste citrus peel. The adsorption characteristics of 2,4-DCP by MAC were investigated by varying the contact time, MAC dose, solution temperature, pH and 2,4-DCP concentration. The isothermal adsorption data were well explained by the Langmuir isotherm model equation and the maximum adsorption capacity calculated from the Langmuir isotherm equation was 312.5 mg/g. The adsorption kinetic data were well described by the pseudo-second-order reaction equation. The intraparticle diffusion model data indicated that both the film and intraparticle diffusion occur simultaneously during the adsorption process. The thermodynamic parameters of ${\Delta}H^o$ and ${\Delta}G^o$ have positive and negative values, respectively, indicating that the adsorption of 2,4-DCP by MAC is a spontaneous endothermic reaction. After the adsorption experiment was completed, the used MAC could be easily separated by an external magnet.

Equilibrium, Isotherm, Kinetic and Thermodynamic Studies for Adsorption of 7-Epi-10-deacetylpaclitaxel from Taxus chinensis on Sylopute (실로퓨트에 의한 Taxus chinensis 유래 7-에피-10-디아세틸파클리탁셀의 흡착에 대한 평형, 등온흡착식, 동역학 및 열역학적 특성)

  • Park, Sae-Hoon;Kim, Jin-Hyun
    • Korean Chemical Engineering Research
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    • v.58 no.1
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    • pp.113-121
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    • 2020
  • In batch experiments, the adsorption of 7-epi-10-deacetylpaclitaxel was studied using Sylopute. Experimental equilibrium data were applied to Langmuir, Freundlich, Temkin and Dubinin-Radushkevich isotherm models. Among the four isotherm models tested, the Langmuir isotherm model gave the highest accuracy. The adsorption capacity was found to decrease with increases in temperature and the adsorption of 7-epi-10-deacetylpaclitaxel onto Sylopute was a favorable physical process. Adsorption kinetic data agreed very well with the pseudo-second-order kinetic model, while boundary layer diffusion and intraparticle diffusion did not play a key role in the adsorption process. The process of 7-epi-10-deacetylpaclitaxel adsorption onto Sylopute was exothermic and nonspontaneous. Also, the adsorption isosteric heat was independent of surface loading indicating an energetically homogeneous adsorbent.