• Title/Summary/Keyword: limiting equation

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Iterative Cumulant Moment Method for solution of Boltzmann Equation and its Application to Shock Wave Structure (반복적 Cumulant 모멘트 방법에 의한 Boltzmann 방정식의 해법과 충격파구조에 관한 연구)

  • Ohr, Young Gie
    • Journal of the Korean Chemical Society
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    • v.42 no.4
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    • pp.398-410
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    • 1998
  • For non-linear solution of the Boltzmann equation, the cumulant moment method has been studied. To apply the method to the normal shock wave problem, we restricted ourselves to the monatomic Maxwell molecular gases. The method is based on the iterative approach developed by Maxwell-Ikenberry-Truesdell (MIT). The original MIT approach employs the equilibrium distribution function for the initial values in beginning the iteration. In the present work, we use the Mott-Smith bimodal distribution function to calculate the initial values and follow the MIT iteration procedure. Calculations have been carried out up to the second iteration for the profiles of density, temperature, stress, heat flux, and shock thickness of strong shocks, including the weak shock thickness of Mach range less than 1.4. The first iteration gives a simple analytic expression for the shock profile, and the weak shock thickness limiting law which is in exact accord with the Navier-Stokes theory. The second iteration shows that the calculated strong shock profiles are consistent with the Monte Carlo values quantitatively.

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Characteristics of Anaerobic Methane Production by Ultrasonic Treatment of Excess Sludge (잉여슬러지의 초음파 처리에 의한 혐기성 소화에서의 메탄생성 특성 연구)

  • Lee, Jonghak;Jeong, Tae-Young;Roh, Hyun-Seog;Kim, Dongjin
    • Journal of Korean Society on Water Environment
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    • v.26 no.5
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    • pp.810-815
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    • 2010
  • Ultrasonic sludge pre-treatment has been studied to enhance the performance of anaerobic digestion by increasing sludge hydrolysis which is regarded as the rate-limiting-step of anaerobic digestion. In this study, the effect of ultrasonic pre-treatment on sludge hydrolysis (solubilization) and methane production was investigated. Sludge solubilization efficiency increased with ultrasonic energy input. However, it is uneconomical to apply more than 720 kJ/L as the solubilization efficiency per energy input declines afterwards. Volatile fatty acids concentration increased after the ultrasonic sludge hydrolysis. Anaerobic batch digestion showed that methane volume reached 64.7 and 84.5 mL after 18 days of incubation with the control sludge and ultrasonically hydrolyzed sludge, respectively. Methane production potential, maximum methane production rate, and the lag time of modified Gompertz equation were changed from 70 mL, 6.4 mL/day, and 1.2 days to 89 mL, 9.6 mL/day, and 0.5 day, respectively, after the ultrasonic sludge treatment. The results proved that ultrasonic pre-treatment contributed significantly not only for the methane production but also for the reduction of anaerobic digestion time which is critical for the performance of anaerobic sludge digestion.

The Growth Patterns of Major Landscaping Trees by Site Conditions in Two Apartment Complexes (아파트단지내 조경용 교목의 입지조건별 생장특성)

  • 윤근영;안건용
    • Journal of the Korean Institute of Landscape Architecture
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    • v.26 no.2
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    • pp.207-218
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    • 1998
  • A site survey in two apartment complexes and a nursery experiment were carried out in this study to provide basic data of the long-pending growth characteristics of major landscaping trees, such as Picea abies, Pinus parviflora, Metasequoia glyptostroboides, Magnolia denudata, Acer buergerianum and Acer palmatum. According to the main results, the survival rates were very low, reflected by the average survival rate of the four species was 95% at the nursery site. And, it was presumed that the site conditions of two apartment complexes for tree growth were very inferior to those of the nursery site, taking into consideration that the increment percents of growth factors of the tree species at the nursery site were relatively higher than those of the apartment complexes. The distribution patterns of the current growth factors of trees showed a normal distribution. The regression equation of breast diameter on diameter at root collar showed especially high predictability. And, it was thought that the most critical limiting environmental factors on tree growth at the apartment complexes were found to be alkaline pH caused by excessive Ca, high percent base saturation, insufficiency of available moisture content, bad drainage due to inferior soil texture, high soil hardness, lack of organic matter and shortage of cation exchange capacity in soil.

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The Effects of Intramolecular Interactions of Random Copolymers on the Phase Behavior of Polymer Mixtures

  • Kim, M. J.;J. E. Yoo;Park, H. K.;Kim, C. K.
    • Macromolecular Research
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    • v.10 no.2
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    • pp.91-96
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    • 2002
  • To explore the effects of intramolecular interactions within the copolymer on the phase separation behavior of polymer blends, copolymers having two different types of intramolecular interactions, i.e., intramolecular repulsion and intramolecular attraction were prepared . In this study, poly(styrene-co-methylmethacrylate) (P(S-MMA)) having intramolecular repulsion caused by positive interaction between styrene and MMA and poly(styrene-co-ethyl-methacrylate) (P(S-EMA)) and poly(styrene-co-cyclohexylmethacrylate) (P(S-CHMA)) having intramolecular attraction caused by negative interaction between styrene and methacrylate were blended with tetramethyl poly-carbonate (TMPC). The phase behavior of blends was examined as a function of copolymer composition and blend composition. TMPC formed miscible blends with styrenic copolymers containing less than certain amount of methacrylate. The phase separation temperature of TMPC blends with copolymer such as P(S-MMA) and P(S-EMA), first increases with methacrylate content, goes through a maximum and then decreases just prior to the limiting content of methacrylate for miscibility, while that of TMPC blends with P(S-CHMA) always decreases. The calculated interaction energy for TMPC-P(S-EMA) pair is negative and monotonically increases with EMA content of the copolymer. Such behavior contradicted the general notion that systems with more favorable energetic interactions have higher LCST, The detailed inspection of the lattice-fluid theory related to the phase behavior was performed to explain such behavior.

Modified FHWA Design Method Considering Bending Stiffness of Soil Nail (휨강성을 고려한 수정 FHWA 쏘일네일 설계법 제안)

  • Kim, Nak-Kyung;Jung, Jung-Hee;Ju, Yong-Sun;Kim, Sung-Kyu
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.03a
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    • pp.1406-1416
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    • 2008
  • Soil nailing is used as a method of slope stabilization and excavation support. The design method of soil nail are based on experience or assumption of interaction between soil and reinforcement. Most design methods simply considers the tension of reinforcement for analysis of slope stabilization. Soil nails interact with soils under combined loading of shear and tension. Jewell & Pedley(1990) suggested a design equation of shear force with bending stiffness and discussed that the magnitude of the maximum shear force is small in comparison with the maximum axal force. However, they have used a very conservative limiting bearing stress on nails. This paper discusses that the shear strength of soil nails should not be disregarded with proper bearing stresses on nails. The modified FHWA design method was proposed by considering shear forces on nails with bending stiffness.

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The Influence of Scarcity Message on Customers' Perceived Value, Satisfaction, and Repurchase Intention in the Context of Group-Buying Social Commerce (공동구매형 소셜커머스에서 희소성메시지가 고객의 지각된 가치, 만족, 재구매의도에 미치는 영향)

  • Choi, Sujeong
    • Journal of Information Technology Applications and Management
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    • v.23 no.1
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    • pp.97-117
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    • 2016
  • Drawing on the theoretical framework of customer value-satisfaction-loyalty, this study examines how scarcity message influences customers' value, satisfaction, and loyalty in the context of group-buying social commerce. Previous studies have argued that scarcity message limiting the avilability of products and service is a source of enhancing customer value. In this regard, this study posits scarcity message as a predictor of customer value. Furthermore, this study classifies customer value into two forms (i.e., utilitarian value and hedonic value) and verfies how scarcity message is associated with them. To test the proposed research model and hypotheses, this study performed structural equation modeling (SEM) analyses, using a total of 292 data collected on users who have experience in purchasing products and service through group-buying social commerce sites such as Coupang, Timon, and WeMakePrice. The key results are as follows : First, scarcity message increases utilitarian and hedonic values and further customer satisfaction. Second, utilitarian value increases customer satisfaction and repurchase intention while hedonic value has nothing to do with them. The findings imply that customers seek to maximize utilitarian value through group-buying social commerce. Finally, this study indicates that repuchase intention depends greatly on customer satisfaction.

Electric Conductance of Dilute Solutions of Alkali Chlorides in Acetone-Water and Formic Acid-Water Mixtures (아세톤-물 및 포름酸-물 混合溶媒中에서의 알칼리 鹽化物溶液의 電導度)

  • Byung-Rin Cho;Yong-Ja Lee;Kwang-Ho Kim
    • Journal of the Korean Chemical Society
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    • v.22 no.1
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    • pp.12-18
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    • 1978
  • The electric conductances of dilute solutions of alkali chlorides (LiCi, NaCl, KCl, RbCl, CsCl) in a series of acetone-water and formic acid-water mixtures were determined respectively at $^30{\circ}C$. The results of the conductances of alkali chlorides in acetone-water mixtures were analysed by the Debye-Huckel-Onsager equation and the variations of limiting equivalent conductances with the compositions of acetone-water mixtures were explained in terms of selective solvation of electrolytes. The conductances of dilute solutions of alkali chlorides in formic acid-water could not be analysed because of the strong ionic atmosphere of solvent itself.

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A Study on the Development of Low Reynolds Number Second Moment Turbulence Model (저레이놀즈수 2차 모멘트 난류모형 개발에 관한 연구)

  • 김명호;최영돈;신종근
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1596-1608
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    • 1993
  • Low Reynolds number second moment turbulence model which be applicable to the fine gird near the wall region was developed. In this model, turbulence model coefficients in the pressure strain model of the Reynolds stress equation was expressed as functions of turbulence Reynolds number $R_{t}\equivk^{2}/(\nu\varepsilon)).$ In the derivation procedure of the present low Reynolds number algebraic stress model, Laufer's near wall experimental data on Reynolds stresses were curve fitted as functions of R$_{t}$ and the resulting simultaneous equations of the model coefficients were solved by using the boundary conditions at wall and high Reynolds number limiting conditions. Predicted Reynolds stresses and dissipation rate of turbulent kinetic energy etc. in the 2 dimensional parallel, plane channel flow and pipe flow were compared with the preditions obtained by employing the Launder-Shima model, standard algebraic stress model and several experimental data. Results show that all the Reynolds stresses and dissipation rate of turbulent kinetic energy predicted by the present low Reynolds number algebraic stress model agree better with the experimental data than those predicted by other algebraic stress models.

Room Acoustic Properties of Coupled Rooms Connected by an Aperture in the Steady State Condition (정상상태조건에서의 개구부로 연결된 커플룸의 음향 특성)

  • Na, Hae Joong;Lim, Byoung-Duk
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.3
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    • pp.315-322
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    • 2016
  • Room acoustic properties of coupled rooms connected by an aperture has been analyzed using statistical acoustic model based on the diffused sound field assumption, which has limitation in dealing with the parameters such an room geometries and non uniform absorptivity of the boundary surfaces. In order to overcome these difficulties the acoustic diffusion model has been introduced, by which distribution of the acoustic energy density can be analyzed for various shapes and wall absorptivity. In this study acoustic properties of coupled rooms connected by an aperture(e.g. door) is analyzed using acoustic diffusion equation, which is solved numerically. The mean energy densities of two rooms obtained by the diffusion model are compared with those from the statistical model. The results show good agreement for various coupling aperture sizes and absorption coefficients. For a limiting case when the partition wall is substituted by an aperture and the two rooms eventually forms a single room, results of coupled room analysis using diffusion model show good agreement with those of a single room.

Excess Molar Enthalpies for the Ternary System {1,2-dichloropropane + 1,3-dioxolne + 1,4-dioxane} at T=298.15 K and p=101.3 kPa (상온 및 상압하에서 3성분계 {1,2-dichloropropane + 1,3-dioxolne + 1,4-dioxane}의 과잉 몰엔탈피 예측)

  • Lee, Young-Sei;Kim, Moon-Gab
    • Journal of the Korean Society of Industry Convergence
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    • v.14 no.1
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    • pp.9-14
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    • 2011
  • The excess molar enthalpies $H_m^E$ at T=298.15 K and p=101.3 kPa of ternary system {1,2-dichloropropane (1,2-DCP) + 1,3-dioxolane+ 1,4-dioxane} were predicted by using the binary contribution model of $Radojkovi{\check{c}}$ with correlated sub-binary Redlich-Kister parameters. Excess partial molar enthalpies ${\bar{H}}_i^E$ were also calculated for the binary systems {1,2-dichloropropane + 1,3-dioxolane}, {1,2-dichloropropane + 1,4-dioxane} and {1,3-dioxolane + 1,4-dioxane} using adjustable parameters of Redlich-Kister equation. By extrapolation of excess partial molar enthalpies to infinite dilution, limiting excess partial molar enthalpies ${\bar{H}}_i^{E,{\infty}}$ of each component were also obtained. The ternary excess molar enthalpies excess partial molar enthalpies of these sub-binary systems have been calculated by using our previously reported results.