• Title/Summary/Keyword: diffusivity equation

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Study on Adsorption Characteristics of Tharonil from Aqueous Solution by Activated Carbon Adsorption (활성탄에 의한 Tharonil의 흡착특성에 관한 연구)

  • 이종집;유용호
    • Journal of the Korean Society of Safety
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    • v.15 no.4
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    • pp.88-94
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    • 2000
  • The adsorption characteristics of Tharonil on granular activated carbon were experimentally investigated in an adsorber and in a packed column. It was estabilished that the adsorption equilibrium of Tharonil on granular activated carbon was more successfully fitted by Freundlich isotherm equation than Langmuir isotherm equation in the concentration range from 1 to 1000 mg/1. Intraparticle diffusivities (pore and surface diffusivity) of Tharonil were estimated by the concentration-time curve and adsorption isotherm. The estimated values of pore diffusivity and surface diffusivity are $6.70{\times}10^{-6}$ and $2.0{\times}10^{-9}cm^2/s$, respectively. From comparison of intraparticle diffusivities, it was found that surface diffusion was the limiting step for adsorption rate. The break time and breakthrough curve predicted by constant pattern-linear driving force model were shown to agree with the experimental results.

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Development of photothermal mirage technique for measuring thermal diffusivity (열확산도 측정을 위한 광열 신기루 기법 개발)

  • Kim, Dong-Sik;Choi, Sun-Rock;Lee, Joo-Chul
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1395-1400
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    • 2003
  • This paper introduces a novel scheme for determining the thermal diffusivity of solids using the photothermal mirage technique. The suggested scheme extends the thermal-wave coupling method, employing the solution to the heat conduction equation in close proximity to the pump beam. Therefore, determination of thermal diffusivity is possible by detecting the mirage signal with small separation between the probe and pump beams, with enhanced intensity of the mirage signal. Though the method requires information about the probe-beam height, the absolute transverse position of the probe beam need not be known as it is automatically evaluated by the iterative-computation procedure. The thermal diffusivity of Ni is measured by the proposed scheme and the result demonstrates good agreement with the literature value to within 5 %.

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Diffusion of Sodium Chloride in Chinese Cabbage during Salting (배추의 염절임중 소금의 확산에 관한 연구)

  • Cho, Hyung-Yong;Kim, Ju-Bong;Pyun, Yu-Ryang
    • Korean Journal of Food Science and Technology
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    • v.20 no.5
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    • pp.711-717
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    • 1988
  • The diffusivity of sodium chloride in Chinese cabbage was evaluated from its absorption data obtained by immersing the cabbage stalk in a salt solution. By using least squares method, the absorption and desorption diffusivity of NaCl in the cabbage stalk have been estimated to be $1.7{\times}10^{-11}$ and $11.6{\times}10^{-11}m^2/s$, respectively. The apparent diffusivity was not strongly dependent on the concentration of brine and the variety of Chinese cabbage. The influence of temperature on the apparent diffusivity could be expressed as the Arrhenius type equation, in which the activation energy was estimated to be 66 KJ/mol.

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Effects of the in-process calibration from IR detector for thermal diffusivity measurement by laser flash method (레이저 섬광법에 의한 열확산계수 측정시 적외검출소자에서 실시간 온도보정이 미치는 영향)

  • 이원식;배신철
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.10 no.6
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    • pp.795-802
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    • 1998
  • For measuring the thermal diffusivity by laser flash method, raw data have to be calibrated using temperature data. We have developed in-process calibration method and polynomial calibration in which thermal diffusivity can be calibrated during measuring, This method is different from existing temperature pre-process calibration method and exponential calibration having various source of error. Using this new calibration method, measurement accuracy was improved about 1∼2% compare to the value by the existing method. We also studied more accurate fitting curve as in Figure 4 was shown the result of measuring output characteristics of IR radiometer with temperature. As illustrated in data, in-process calibration method and polynomial calibration equation is proper than pre-process calibration method and exponential calibration.

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The Thermal Diffusivity of Standard Pieces for Spark Test (불꽃試驗용 標準試片 의 熱擴散 係數)

  • 차경옥;이관수;이흥주
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.3
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    • pp.319-327
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    • 1983
  • The thermal diffusivity one of the series of standard pieces for spark test are determined by the flash method. The standard pieces are composed with carbon steels, structural carbon steels, alloy steels and high speed tool steels. In order to compute the thermal conductivity of the standard pieces, their specific heats are measured by a differential scanning calorimeter. The thermal conductivities are calculated from the data of specific heat, density and thermal diffusivity. To increase the accuracy of data for the thermal diffusivity by data reduction excursion method in the flash method, the governing heat diffusion equation, which is closely described experimental conditions with the finite pulse and the heat loss from the sample surfaces, is solved. In this analysis an integral transform is used.

Thermal Diffusivity Evaluation of Backfilling Materials for Horizontal Ground Heat Exchanger Using Single-Probe Method (단일 탐침법을 이용한 수평형 지중열교환기 뒤채움재의 열확산계수 산정)

  • Sohn, Byong-Hu;Choi, Hang-Seok
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.23 no.5
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    • pp.356-364
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    • 2011
  • Storage and transfer heat in soils is governed by the soil thermal properties and these properties are therefore needed in many engineering applications, including horizontal ground heat exchanger for ground-coupled heat pumps. This paper presents the evaluation results of the thermal diffusivity of soils (silica, quartzite, limestone, sandstone, granite, and two masonry soils used for the trench backfilling materials of the horizontal ground heat exchanger. To assess this thermal property, we (i) measure the soil thermal conductivities using single-probe method and (ii) use the de Vries method of summing the heat capacities of the soil constituents. The results show that the thermal diffusivity tends to increase as dry soil begins to wet, but it approaches a constant value or even decreases as the soil continues to wet. Combined algorithm with and improved model for the thermal conductivity of soils and the constituent equation provides accurate estimates of the soil thermal diffusivity.

The Evaluation of Diffusivity of Lithium for Coarsening of δ' Precipitate in AI-Li-Cu-Mg-Zr Alloy (Al-Li-Cu-Mg-Zr 합금에 있어서 δ'상 조대화를 위한 Lithium의 확산계수 평가)

  • Chung, D.S.;Kim, E.S.;Cho, H.K.
    • Journal of the Korean Society for Heat Treatment
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    • v.7 no.1
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    • pp.17-24
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    • 1994
  • The evaluation and analysis of diffusivity of lithium for coarsening and coarsening kinetics of ${\delta}^{\prime}$ precipitate in Al-Li-Cu-Mg-Zr alloy aged at $170^{\circ}C$ have been investigated by transmission electron microscopy. With ageing time, ${\delta}^{\prime}$ precipitate coaesened to followed $\bar{\gamma}{\propto}t^{1/3}$ and coarsening kinetics was found to be obeyed to the Lifshitz-Slyozov-Wagner(LSW) theory and diffusivity of lithium for coarsening of ${\delta}^{\prime}$ precipitate in Al-Li-Cu-Mg-Zr alloy was obtained to be $5.85{\times}10^{-17}{\sim}1.53{\times}10^{-16}$ by experimental coarsening rate constant and various coarsening kinetic theory. Diffusivity of lithium measured by using various model but MLSW and Tsumuraya (VI) et al. model in Al-Li-Cu-Mg-Zr alloy is similar to that calculated by the Costas's diffusivity equation. It was, therefore, suggested that additing to the Cu, Mg and Zr element in Al-Li system have no great effect on diiffusivity of lithium for coarsening of ${\delta}^{\prime}$ This suggest that in matrix.

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Analysis of Cyclic Adenosine Monophosphate (cAMP) Separation via RP-HPLC (reversed-phase high-performance liquid chromatography) by the Moment Method and the van Deemter Equation (역상 크로마토그래피에서 모멘트 방법과 van Deemter 식을 이용한 고리형 아데노신 일인산의 분리특성 연구)

  • Lee, Il Song;Ko, Kwan Young;Kim, In Ho
    • Korean Chemical Engineering Research
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    • v.53 no.6
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    • pp.723-729
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    • 2015
  • The moment analysis of cyclic adenosine monophosphate (cAMP) was performed using chromatograms that were obtained with the pulse input method from an octadecyl silica (ODS) high-performance liquid chromatography (HPLC) column. The general rate (GR) model was employed to calculate the first absolute moment and the second central moment. Three important coefficients for moment analysis, which are molecular diffusivity ($D_m$), external mass transfer coefficient ($k_f$), and intra-particle diffusivity ($D_e$), were estimated by the Wilke-Chang equation, Wilson-Geankoplis equation, and comparing van Deemter equation to theoretical plate number equation, respectively. Experiments were conducted by various conditions of flow rates, methanol volume ratio of the mobile phase, and solute concentration. After the moment analysis, results were organized by van Deemter plots. Also van Deemter coefficients were compared each other to effect $H_{ax}$, $H_f$, and $H_d$ on height equivalent to a theoretical plate (HETP, $H_{total}$). The value of intraparticle diffusion ($H_d$) was the primary factor which makes for HETP whereas external mass transfer ($H_f$) was disregardable factor.

Modified Pseudosteady-State Approach to Calculate Long-Time Performance of Closed Gas Reservoirs (수정된 유사정상상태 해법을 이용한 폐쇄 가스저류층의 장기 거동 해석)

  • Lee Kun Sang
    • Journal of the Korean Institute of Gas
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    • v.2 no.4
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    • pp.73-78
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    • 1998
  • This paper considers the applicability of a pseudosteady-state approach to the long-time behavior of real gas flow in a closed reservoir. The method involves a combination of a linearized gas diffusivity equation using a normalized pseudotime and a material balance equation. For the simulation of field-scale problems with multiple wells of differing production rates over extended production periods, the pseudosteady-state equation was solved successively for each flow period. Results from this study show that the approach provides a fast and accurate method for modeling the long-time behavior of gas reservoirs under depletion conditions.

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Soil Water Diffusivity and Soil Water Stress Coefficient Studies Using Weighting Lysimeter Data (토양수분확산계수 측정과 자동측정리이시메타를 이용한 토양수분계수 추정)

  • Oh, Dong-Shig;Ayars, James E.;Soppe, Richard;Eom, Ki-Cheol
    • Korean Journal of Soil Science and Fertilizer
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    • v.32 no.4
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    • pp.344-356
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    • 1999
  • A new and relatively simple equation for the soil water content-pressure head curve, ${\theta}$(h) is described in this paper. The particular form of the equation enables one to derive closed-form analytical expressions for the relative hydraulic conductivity, Kr, when substituted in the predictive conductivity models of Y. Mualem. Hopmans' equation is presented as an experimental method. The experienced method, $ET_a=K_sK_cET_o$ is introduced to estimate the actual evapotranspiration, $ET_a$(or $ET_c$). Using $ET_c$ and coil water data measured automatically in a weighing lusimeter, $K_s$ and $K_c$ values are estimated. Recently, FAO has introduced calculation procedures for the soil water(stress) coefficient, Ks in "Guidelines for computing crop water requirements".

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