• Title/Summary/Keyword: Distribution Balance Equation

Search Result 56, Processing Time 0.032 seconds

Evaluation of the Two Class Population Balance Equation for Predicting the Bimodal Flocculation of Cohesive Sediments in Turbulent Flow (난류조건에서의 점착성 유사 이군집 응집 모형 적용성 평가)

  • Lee, Byung Joon;Toorman, E.A.
    • Journal of Korea Water Resources Association
    • /
    • v.48 no.3
    • /
    • pp.233-243
    • /
    • 2015
  • The bimodal flocculation of cohesive sediments in water environments describes the aggregation and breakage process developing a bimodal floc size distribution with dense flocculi and floppy flocs. A two class population balance equation (TCPBE) was tested for simulating the bimodal flocculation by a model-data fitting analysis with two sets of experimental data (low and high turbulent flows) from 1-D flocculation-settling column tests. In contrast to the Single-Class PBE (SCPBE), the TCPBE could simulate interactions between flocculi and flocs and the flocculation mechanism by differential settling in a low turbulent flow. Also, the TCPBE could perform the same quality of simulation as the elaborate Multi-Class PBE (MCPBE), with a small number of floc size classes and differential equations. Thus, the TCPBE was proven to be the simplest model that is capable of simulating the bimodal flocculation of cohesive sediments in water environments and water, wastewater treatment systems.

Determination of electron energy distribution functions in radio-frequency (RF) and microwave discharges (RF/마이크로웨이브 방전에서의 전자에너지 분포함수의 결정)

  • 고욱희;박인호;김남춘
    • Journal of the Korean Vacuum Society
    • /
    • v.10 no.4
    • /
    • pp.424-430
    • /
    • 2001
  • An electron Boltzmann equation is solved numerically to calculate the electron energy distribution functions in plasma discharge which is generated by radio-frequency (RF) and microwave frequency electric field. The maintenance field strengths are determined self-consistently by solving the homogeneous electron Boltzmann equation in the Lorentz approximation expressed by 2nd order differential equation and an additional particle balance equation expressed by integro-differential equation. By using this numerical code, the electron energy distribution functions in argon discharge are calculated in the range from RF to microwave frequency. The influence of frequency of the HF electric field on the electron energy distribution functions and ionization rate are investigated.

  • PDF

Numerical Modeling of Soot Formation in $C_2H_4$/Air Turbulent Non-premixed Flames ($C_2H_4$/Air 비예혼합 난류화염의 매연생성 모델링)

  • Kim, Tae-Hoon;Woo, Min-O;Kim, Yong-Mo
    • Journal of the Korean Society of Combustion
    • /
    • v.15 no.4
    • /
    • pp.22-28
    • /
    • 2010
  • The Direct Quadrature Method of Moments (DQMOM) has been presented for the solution of population balance equation in the wide range of the multi-phase flows. This method has the inherently interesting features which can be easily applied to the multi-inner variable equation. In addition, DQMOM is capable of easily coupling the gas phase with the discrete phases while it requires the relatively low computational cost. Soot inception, subsequent aggregation, surface growth and oxidation are described through a population balance model solved with the DQMOM for soot formation. This approach is also able to represent the evolution of the soot particle size distribution. The turbulence-chemistry interaction is represented by the laminar flamelet model together with the presumed PDF approach and the spherical harmonic P-1 approximation is adopted to account for the radiative heat transfer.

Analysis on the Flow Effect of the Twisted Nematic liquid Crystals (Twisted Nematic(TN) 액정에서의 흐름효과 해석)

  • Kim, Hoon;Park, Woo-Sang
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2005.07a
    • /
    • pp.76-78
    • /
    • 2005
  • We coupled fluid balance equation and director balance equation from Ericksen-Leslie's continuum theory and observed the motion of Twisted Nematic (TN) Liquid Crystals. We simulated flow velocity distribution and director distribution. We interpreted the dynamic response characteristic caused by the flow. As the result of the simulation, We could see the flow effect. And this flow caused abnormal twist to 4msec in switching off state. We could prove that this abnormal twist is a direct cause of optical bounce phenomenon known well until now with the result of simulation.

  • PDF

A Study on the AC Arc Model of High Pressure Mercury Discharge (고압 수은방전의 교류 아아크 모델에 관한 연구)

  • Chee, Chol-Kon;Kim, Hoon;Lee, Sang-Woo
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.36 no.9
    • /
    • pp.655-659
    • /
    • 1987
  • This study presents a model of the electrical characteristics of the high-pressure mercury vapour arc discharge. Energy balance equation per unit volume of the arc tube is converted into the one per unit length by assuming the parabolic radial temperature distribution and integrating over the cross-section of the tube. Using this energy balance equation, together with the circuit equation and Ohm's law, the arc voltage and current variation for 1 cycle is numerically calculated and a good result is obtained. A simple method to calculate the axis temperature of the arc tube and the radiation output is also presented.

  • PDF

Thermo-Degradation Kinetics of Polyethylene (폴리에틸렌의 열분해 Kinetics)

  • Cha, Wang Seog
    • Applied Chemistry for Engineering
    • /
    • v.10 no.3
    • /
    • pp.432-437
    • /
    • 1999
  • Pyrolysis of polyethylene was carried out in the stainless steel reactor of internal volume of $10cm^3$. Pyrolysis reactions were performed at temperature $390{\sim}450^{\circ}C$ and the pyrolysis products were collected separately as reaction products and gas products. The molecular weight distributions(MWDs) of each product were determined by HPLC-GPC and GC analysis. Distribution balance equation for MWDs of random and specific products were proposed to account for initiation-termination and propagation-depropagation, such as hydrogen abstraction, chain cleavage, coupling of polymer and radical. A separate chain-end scission process produces low molecular weight noncondensable gases(C1 through C5) of average molecular weight 38. Activation energies of the random-chain scission and chain-end scission rate parameters, respectively, were determined to be 35, 17 kcal/mole.

  • PDF

Uncertainty Analysis of Dynamic Thermal Rating of Overhead Transmission Line

  • Zhou, Xing;Wang, Yanling;Zhou, Xiaofeng;Tao, Weihua;Niu, Zhiqiang;Qu, Ailing
    • Journal of Information Processing Systems
    • /
    • v.15 no.2
    • /
    • pp.331-343
    • /
    • 2019
  • Dynamic thermal rating of the overhead transmission lines is affected by many uncertain factors. The ambient temperature, wind speed and wind direction are the main sources of uncertainty. Measurement uncertainty is an important parameter to evaluate the reliability of measurement results. This paper presents the uncertainty analysis based on Monte Carlo. On the basis of establishing the mathematical model and setting the probability density function of the input parameter value, the probability density function of the output value is determined by probability distribution random sampling. Through the calculation and analysis of the transient thermal balance equation and the steady- state thermal balance equation, the steady-state current carrying capacity, the transient current carrying capacity, the standard uncertainty and the probability distribution of the minimum and maximum values of the conductor under 95% confidence interval are obtained. The simulation results indicate that Monte Carlo method can decrease the computational complexity, speed up the calculation, and increase the validity and reliability of the uncertainty evaluation.

Effectiveness of E-Training, E-Leadership, and Work Life Balance on Employee Performance during COVID-19

  • WOLOR, Christian Wiradendi;SOLIKHAH, Solikhah;FIDHYALLAH, Nadya Fadillah;LESTARI, Deniar Puji
    • The Journal of Asian Finance, Economics and Business
    • /
    • v.7 no.10
    • /
    • pp.443-450
    • /
    • 2020
  • This study aims to add insight into the effectiveness of e-training, e-leadership, work-life balance, and work motivation on millennial generation employees' performance in today's work life amid the outbreak of the COVID-19 pandemic that requires to work more online. Unlike previous generations, millennials are technology-literate, intent on succeeding quickly, give up easily, and seek instantaneous gratification. The population in this study are millennial generation employees at one of Honda motorcycle dealers in Jakarta, Indonesia. The number of samples collected was 200. The sampling technique used is the side probability method, with proportional random sampling technique. The research method used is an associative quantitative approach through survey methods and Structural Equation Modeling. Data were collected through questionnaires distributed to millennial generation employees, with results then processed through the Lisrel 8.5 program. The results of this study show, first, that e-training, e-leadership, and work-life balance have positive effect on work motivation. Second, e-training, e-leadership, work-life balance, and work motivation have positive effect on employees' performance. The findings indicate that companies must pay attention to the factors of e-training, e-leadership, and work-life balance to keep employees motivated and to maintain optimal employee performance, especially during the COVID-19 pandemic through working online.

Effect of Sliding Velocity on 3D Rough Surface in Mixed Lubrication Regime (속도의 영향에 따른 3차원 거친 표면의 혼합윤활해석)

  • Lim, DongJin;Moon, Sukman;Cho, Yongjoo
    • Tribology and Lubricants
    • /
    • v.29 no.1
    • /
    • pp.27-32
    • /
    • 2013
  • This study examined the effects of surface roughness in the mixed lubrication regime of smooth and rough surfaces for roller bearings. The average flow model was adopted for interaction between the flow rheology of the lubricant and the surface roughness. The average Reynolds equation and related flow factor that describes the coupled effects of surface roughness and flow rheology, the viscosity-pressure and density-pressure equations, the elastic deformation equation, and the force balance equation were solved simultaneously. The results showed that the effects of surface roughness on the film thickness and pressure distribution should be considered, especially in elastohydrodynamic lubrication contact problems.

Study on the Thermal Analysis of Extra-High Voltage OF Cable Accessories using Finite Element Method (유한요소법에 의한 초고압 OF 케이블 접속재의 주도해석에 관한 연구)

  • Lee, Jong-Bum;Kang, Dong-Sik;Kang, Do-Hyun;Lee, Soo-Hyun
    • Proceedings of the KIEE Conference
    • /
    • 1989.11a
    • /
    • pp.211-215
    • /
    • 1989
  • This paper presents the thermal analysis of EHV OF cable accessories using FEM. The governing equation about the temperature in the cable accessories is induced by the energy balance equation. Since the temperature distribution is a function of space and time, the weighted residual method is adopted for FEM formulation. The difference approximation is used to treat the time differential term in the element equation. Automatic mesh generation which save time and labor is introduced for the data input process. It will be expected that the following thermal analysis result will be very useful to cable accessories design.

  • PDF