• 제목/요약/키워드: population balance equation

검색결과 14건 처리시간 0.017초

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

  • 이병준
    • 한국수자원학회논문집
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    • 제48권3호
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    • pp.233-243
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    • 2015
  • 이군집 응집현상은 수자원환경에서 점착성 유사가 결합-해체의 과정을 통해 응집핵-응집체의 이군집 입자크기분포 (Biomodal Floc Size Distribution)를 형성하는 일련의 과정을 의미한다. 본 연구는 저난류 및 고난류 두 가지 조건에서 수행한 응집-침전관 실험결과를 바탕으로 이군집 응집모형(TCPBE: Two Class Population Balance Equation)의 적용성을 단일군집 응집모형(SCPBE: Single Class Population Balance Equation) 및 다군집 응집모형(MCPBE: Multi Class Population Balance Equation)과 비교 평가하였다. 기존 SCPBE에 비하여, TCPBE는 응집핵-응집체의 상호작용 및 침강속도차에 따른 응집 기작을 모의할 수 있었다. 또한, 3개의 연립미분방정식을 가진 TCPBE는 30개 미분방정식을 가진 다군집 응집모형(MCPBE: Multi Class Population Balance Equation)과 대등한 모의 결과를 나타내었다. 따라서 TCPBE는 이군집 응집현상을 모의 할 수 있는 가장 단순한 모델로 검증되었고, 향후 수자원환경이나 수처리 공정에 다양하게 적용할 수 있으리라 판단된다.

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

  • 김태훈;우민호;김용모
    • 한국연소학회지
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    • 제15권4호
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    • pp.22-28
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    • 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.

Numerical Simulation of Turbulence-Induced Flocculation and Sedimentation in a Flocculant-Aided Sediment Retention Pond

  • Lee, Byung Joon;Molz, Fred
    • Environmental Engineering Research
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    • 제19권2호
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    • pp.165-174
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    • 2014
  • A model combining multi-dimensional discretized population balance equations with a computational fluid dynamics simulation (CFD-DPBE model) was developed and applied to simulate turbulent flocculation and sedimentation processes in sediment retention basins. Computation fluid dynamics and the discretized population balance equations were solved to generate steady state flow field data and simulate flocculation and sedimentation processes in a sequential manner. Up-to-date numerical algorithms, such as operator splitting and LeVeque flux-corrected upwind schemes, were applied to cope with the computational demands caused by complexity and nonlinearity of the population balance equations and the instability caused by advection-dominated transport. In a modeling and simulation study with a two-dimensional simplified pond system, applicability of the CFD-DPBE model was demonstrated by tracking mass balances and floc size evolutions and by examining particle/floc size and solid concentration distributions. Thus, the CFD-DPBE model may be used as a valuable simulation tool for natural and engineered flocculation and sedimentation systems as well as for flocculant-aided sediment retention ponds.

테일러 반응기 내의 입자응집과 분해에 관한 수치 연구 (Numerical Study of Aggregation and Breakage of Particles in Taylor Reactor)

  • 이승훈;전동협
    • 대한기계학회논문집B
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    • 제40권6호
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    • pp.365-372
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    • 2016
  • 전산유체역학(CFD)을 이용하여 테일러 반응기 내 입자간 응집과 분해반응을 고려한 유동해석을 수행하였다. 입자크기분포를 파악하기 위하여 모멘트 적분법(QMOM)을 이용하여 집합체 균형방정식(Population Balance Equation)을 계산하였다. 초기 여섯 개의 모멘트를 이용하였으며, 응집커널은 Brownian kernel 과 turbulent kernel의 합을, 그리고 분해커널은 멱법칙 커널(power-law kernel)을 사용하였다. 입자의 초기 부피분율에 따른 최종 입자크기를 예측하였다. 그 결과, 초기 부피분율이 증가할수록 입자의 크기와 초기 성장속도가 증가하는 것을 확인하였다.

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
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    • 제7권10호
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    • pp.443-450
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    • 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.

Constant score in asymptomatic shoulders varies with different demographic populations: derivation of adjusted score equation

  • Nitesh Gahlot;Ankit Rai;Jeshwanth Netaji
    • Clinics in Shoulder and Elbow
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    • 제25권4호
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    • pp.274-281
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    • 2022
  • Background: In the present study, the age- and sex-adjusted Constant score (CS) in a normal Indian population was calculated and any differences with other population cohorts assessed. Methods: The study participants were patients who visited the outpatient department for problems other than shoulder and healthy volunteers from the local population. Patients without shoulder pain/discomfort during activity were included in the study. Subjects with any problem that might affect shoulder function (e.g., cervical, thoracic spine, rib cage deformity, inflammatory arthritis) were excluded. Constant scoring of all participants was performed by trained senior residents under the supervision of the senior faculty. Shoulder range of movement and strength were measured following recommendations given by the research and Development Committee of the European Society for Shoulder and Elbow Surgery (2008). A fixed spring balance was used for strength measurement; one end was fixed on the floor and the other end tied with a strap to the wrist of the participant, arm in 90° abduction in scapular plane with palm facing down. Results: Among the 248 subjects (496 shoulders), the average age was 37 years (range, 18-78 years), 65.7% were males (326 shoulders) and 34.3% females (170 shoulders). The mean CS was 84.6±2.9 (males, 86.1±3.0; females, 81.8±2.9). CS decreased significantly after 50 years of age in males and 40 years of age in females (p<0.05). The mean CS was lower than in previous studies for both males and females. Heavy occupation workers had higher mean CS (p<0.05). A linear standardized equation was estimated for calculating the adjusted CS for any age. Conclusions: Mean CS and its change with age differed from previous studies among various population cohorts.

Estimation of Nitrite Concentration in the Biological Nitritation Process Using Enzymatic Inhibition Kinetics

  • GIL, KYUNG-IK;EUI-SO CHOI
    • Journal of Microbiology and Biotechnology
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    • 제12권3호
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    • pp.377-381
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    • 2002
  • Recently, interests to remove nitrogen in the nitritation process have increased because of its economical advantages, since it could be a short-cut process to save both oxygen for nitrification and carbon for denitrification compared to a typical nitrification. However, the kinetics related with the nitritation process has not yet been fully understood. Furthermore, many useful models which have been successfully used for wastewater treatment processes cannot be used to estimate effluent nitrite concentration for evaluating performance of the nitritation process, since the process rate equations and population of microorganisms for nitrogen removal in these models have been set up only for the condition of full nitrification. Therefore, the present study was conducted to estimate an effluent nitrite concentration in the nitritation process with a concept of enzymatic inhibition kinetics based on long-term laboratory experiments. Using a nonlinear least squares regression method, kinetic parameters were accurately determined. By setting up a process rate equation along with a mass balance equation of the nitrite-oxidizing step, an effluent nitrite concentration in the nitritation process was then successfully estimated.

포식자-피식자 모델을 이용하여 기후변화가 논습지를 이용하는 조류 개체군 동태에 미치는 영향 예측 (Effects of Climate-Changes on Patterns of Seasonal Changes in Bird Population in Rice Fields using a Prey-Predator Model)

  • 이후승
    • 한국환경농학회지
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    • 제32권4호
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    • pp.294-303
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    • 2013
  • 본 연구는 수학적 모델(Lotka-Volterra 방정식)을 이용하여 기후변화가 논습지를 이용하는 조류 개체군의 크기와 구조에 미치는 영향에 대해 분석 및 예측하였다. 특히 논습지를 이용하는 조류 개체군 동태에 영향을 주는 기후변화에 대해, 1) 계절 내 최고 및 최저 기온의 변화와 2) 계절 길이의 변화를 조합하여 11가지 가능한 기후변화시나리오를 모델시뮬레이션에 이용하였다. 본 연구의 수학모델은 기온 변화, 즉 계절이 바뀜에 따라 월동, 이동, 그리고 번식조류가 일정한 시기에 그리고 일정한 분포패턴으로 논습지를 취식 및 서식지로 이용하고 있음을 보였다. 기후변화 시나리오의 결과, 기온변화의 폭이 커질 수록 조류 개체군 동태의 변이는 증가하였으며, 계절의 길이 변화, 특히 계절이 짧아진 경우에 논습지를 이용하는 기간도 크게 짧아져 전체적으로 개체군 동태를 감소시켰다. 전체적으로 한 계절 내의 기온변화가 발생하고, 다른 계절은 평년 기온을 유지할 경우에는, 해당 계절의 조류 개체군 동태만 기온변화에 영향을 받았다. 더욱이 계절의 길이 변화는 계절 내 기온 변화보다 더 뚜렷한 개체군 동태의 변화를 유도하였다.

Experimental and numerical assessment of helium bubble lift during natural circulation for passive molten salt fast reactor

  • Won Jun Choi;Jae Hyung Park;Juhyeong Lee;Jihun Im;Yunsik Cho;Yonghee Kim;Sung Joong Kim
    • Nuclear Engineering and Technology
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    • 제56권3호
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    • pp.1002-1012
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    • 2024
  • To remove insoluble fission products, which could possibly cause reactor instability and significantly reduce heat transfer efficiency from primary system of molten salt reactor, a helium bubbling method is employed into a passive molten salt fast reactor. In this regard, two-phase flow behavior of molten salt and helium bubbles was investigated experimentally because the helium bubbles highly affect the circulation performance of working fluid owing to an additional drag force. As the helium flow rate is controlled, the change of key thermal-hydraulic parameters was analyzed through a two-phase experiment. Simultaneously, to assess the applicability of numerical model for the analysis of two-phase flow behavior, the numerical calculation was performed using the OpenFOAM 9.0 code. The accuracy of the numerical analysis code was evaluated by comparing it with the experimental data. Generally, numerical results showed a good agreement with the experiment. However, at the high helium injection rates, the prediction capability for void fraction of helium bubbles was relatively low. This study suggests that the multiphaseEulerFoam solver in OpenFOAM code is effective for predicting the helium bubbling but there exists a room for further improvement by incorporating the appropriate drag flux model and the population balance equation.