• 제목/요약/키워드: Local Equilibrium

검색결과 225건 처리시간 0.022초

Heat Transfer of an Evaporating Liquid on a Horizontal Plate

  • Joo, Sang-Woo;Park, Min-Soo;Kim, Min-Suk
    • Journal of Mechanical Science and Technology
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    • 제19권8호
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    • pp.1649-1661
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    • 2005
  • We consider. a horizontal static liquid layer on a planar solid boundary. The layer is evaporating when the plate is heated. Vapor recoil and thermo-capillary are discussed along with the effect of mass loss and vapor convection due to evaporating liquid and non-equilibrium thermodynamic effects. These coupled systems of equations are reduced to a single evolution equation for the local thickness of the liquid layer by using a long-wave asymptotics. The partial differential equation is solved numerically.

Simulating astrophysical shocks with a combined PIC MHD code

  • van Marle, Allard Jan
    • 천문학회보
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    • 제43권1호
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    • pp.56.2-56.2
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    • 2018
  • Astrophysical shocks accelerate particles to high velocities, which we observe as cosmic rays. The acceleration process changes the nature of the shock because the particles interact with the local magnetic field, removing energy and potentially triggering instabilities. In order to simulate this process, we need a computational method that can handle large scale structures while, at the same time, following the motion of individual particles. We achieve this by combining the grid magnetohydrodynamics (MHD) method with the particle-in-cell (PIC) approach. MHD can be used to simulate the thermal gas that forms the majority of the gas near the shock, while the PIC method allows us to model the interactions between the magnetic field and those particles that deviate from thermal equilibrium. Using this code, we simulate shocks at various sonic and Alfvenic Mach numbers in order to determine how the behaviour of the shock and the particles depends on local conditions.

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Motional Properties in the Structure of GlcNAc(β1,3)Gal(β)OMe Studied by NMR Spectroscopy and Molecular Modeling

  • 심규창;이상원;김양미
    • Bulletin of the Korean Chemical Society
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    • 제18권4호
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    • pp.415-424
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    • 1997
  • Conformational flexibilities of the GlcNAc(β1,3)Gal(β)OMe are investigated through NMR spectroscopy and molecular modeling. Adiabatic energy map generated with a dielectric constant of 50 contains three local minima. All of the molecular dynamics simulations on three local minimum energy structures show fluctuations between two low energy structures, N2 at φ=80° and ψ=60° and N3 at φ=60° and ψ=-40°. We have presented adequate evidences to state that GlcNAc(β1,3)Gal(β)OMe exists in two conformationally discrete forms. Two state model of N2 and N3 conformers with a population ratio of 40:60 is used to calculate the effective cross relaxation rate and reproduces the experimental NOEs very well. Molecular dynamics simulation in conjunction with two state model proves successfully the dynamic equilibrium existed in GlcNAc(β1,3)Gal(β)OMe and can be considered as a powerful method to analyze the motional properties in the structure of carbohydrate. This observation also cautions against the indiscriminate use of a rigid model to analyze NMR data.

다공성 매질과 비투과성 벽면 사이의 경계면에 대한 열적 경계 조건 (On the Thermal Boundary Conditions at the Interface Between the Porous Medium and the Impermeable Wall)

  • 김덕종;김성진
    • 대한기계학회논문집B
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    • 제24권12호
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    • pp.1635-1643
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    • 2000
  • The present work investigates a heat transfer phenomenon at the interface between a porous medium and an impermeable wall. In an effort to appropriately describe the heat transfer phenomenon at the interface, the heat transfer at the interface between the microchannel heat sink, which is an ideally organized porous medium, and the finite-thickness substrate is examined. From the examination, it is clarified that the he heat flux distribution at the interface is not uniform for the impermeable wall with finite thickness. On the other hand, the first approach, based on the energy balance for the representative elementary volume in the porous medium, is physically reason able. When the first approach is applied to the thermal boundary condition, and additional boundary condition based on the local thermal equilibrium assumption at the interface is used. This additional boundary condition is applicable except for the very th in impermeable wall. Hence, for practical situations, the first approach in combination with the local thermal equilibrium assumption at the interface is suggested as an appropriate thermal boundary condition. In order to confirm our suggestion, convective flows both in a microchannel heat sink and in a sintered porous channel subject to a constant heat flux condition are analyzed. The analytically obtained thermal resistance of the microchannel heat sink and the numerically obtained overall Nusselt number for the sintered porous channel are shown to be in close agreement with available experimental results when our suggestion for the thermal boundary conditions is applied.

파랑과 정상흐름의 공존역에서 해저관로 주변의 국부세굴 (The Local Scour around Submarine Pipelines in the Interaction Region Combined with Waves and Currents)

  • 김경호;이호진;김완식
    • 한국해안·해양공학회논문집
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    • 제20권5호
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    • pp.510-521
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    • 2008
  • 본 연구에서는 해저관로의 국부세굴 특성을 고찰하기 위하여 파랑과 정상흐름이 결합된 흐름장에서 실험을 수행하였다. 조파장치와 흐름 발생장치를 이용하여 파랑과 흐름의 방향이 일치하는 경우와 반대인 경우에 대해서 검토하였다. 관경, 주기, 파고, 흐름속도 등을 변화시켜 가면서 해저관로 주변의 국부 세굴심을 측정하였다. 실험결과 최대평형 세굴심은 관경, 주기, 파고, 흐름속도가 증가할수록 증가하였다. 실험결과를 통하여, Shields 수, Froude 수, KC 수, 주기매개변수, Ursell 수, 수정 Ursell 수 및 유속비 등의 매개변수가 세굴심에 미치는 영향을 분석하였다. Froude 수와 Shields 수가 국부세굴을 일으키는 주요매개변수로 나타났는데, 이것은 파랑과 흐름이 결합된 흐름장에서 어느 한도 내에서는 흐름이 세굴을 지배하는 것을 보여준다.

파랑과 흐름이 결합된 공존역에서 파일 주변의 국부세굴 (The Local Scour around a Slender Pile in Combined Waves and Current)

  • 박종환;김경호
    • 한국해안·해양공학회논문집
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    • 제22권6호
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    • pp.405-414
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    • 2010
  • 본 연구에서는 세장형 파일의 국부세굴의 특성을 고찰하기 위하여 파랑과 정상흐름이 결합된 흐름장에서 실험을 수행하였다. 조파장치와 흐름 발생장치를 이용하여 파랑과 흐름의 방향이 일치하는 경우와 반대인 경우에 대해서 검토하였다. 관경, 주기, 파고, 흐름속도 등을 변화시켜 가면서 세장형 파일 주변의 국부 세굴심을 측정하였다. 실험결과 최대평형 세굴심은 관경, 주기, 파고, 흐름속도가 증가할수록 증가하였다. 실험결과를 통하여, Shields 수, Froude 수, KC 수, 수정 Ursell 수 및 유속비 등의 매개변수가 세굴심에 미치는 영향을 분석하였다. 단일 매개변수 중에서는 Froude 수가 파와 흐름이 결합된 경우 가는 파일 주변의 국부세굴을 일으키는 주요매개변수로 나타났다.

Colonization and Extinction Patterns of a Metapopulation of Gold-spotted Pond Frogs, Rana plancyi chosenica

  • Park, Dae-Sik;Park, Shi-Ryong;Sung, Ha-Cheol
    • Journal of Ecology and Environment
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    • 제32권2호
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    • pp.103-107
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    • 2009
  • We investigated colonization and extinction patterns in a meta population of the gold-spotted pond frog (Rana planeyi ehoseniea) near the Korea National University of Education, Chungbuk, Korea, by surveying the frogs in the nine occupied habitat patches in the study area four times per breeding season for three years (2006$\sim$2008) and recording whether the patches were occupied by frogs as well as how many frogs were calling in the patches. We then developed five a priori year-specific models using the Akaike Information Criterion (AIC). The models predicted that: 1) probabilities of colonization and local extinction of the frogs were better explained by year-dependent models than by constant models, 2) there are high local extinction and low colonization probabilities, 3) approximately 31% number of patches will be occupied at equilibrium, and 4) that considerable variation in occupation rate should occur over a 30-year period, due to demographic stochasticity (in our model, the occupation rate ranged from 0.222 to 0.889). Our results suggest that colonization is important in this metapopulation system, which is governed by mainly stochastic components, and that more constructive conservation effects are needed to increase local colonization rates.

Prediction of scour around single vertical piers with different cross-section shapes

  • Bordbar, Amir;Sharifi, Soroosh;Hemida, Hassan
    • Ocean Systems Engineering
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    • 제11권1호
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    • pp.43-58
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    • 2021
  • In the present work, a 3D numerical model is proposed to study local scouring around single vertical piers with different cross-section shapes under steady-current flow. The model solves the flow field and sediment transport processes using a coupled approach. The flow field is obtained by solving the Unsteady Reynolds Averaged Navier-Stokes (URANS) equations in combination with the k-ω SST turbulence closure model and the sediment transport is considered using both bedload and suspended load models. The proposed model is validated against the empirical measurements of local scour around single vertical piers with circular, square, and diamond cross-section shapes obtained from the literature. The measurement of scour depth in equilibrium condition for the simulations reveal the differences of 4.6%, 6.7% and 13.1% from the experimental measurements for the circular, square, and diamond pier cases, respectively. The model displayed a remarkable performance in the prediction of scour around circular and square piers where horseshoe vortices (HSVs) have a leading impact on scour progression. On the other hand, the maximum deviation was found in the case of the diamond pier where HSVs are weak and have minimum impact on the formation of local scour. Overall, the results confirm that the prediction capability of the present model is almost independent of the strength of the formed HSVs and pier cross-section shapes.

Thermomechanical behavior of Macro and Nano FGM sandwich plates

  • Soumia, Benguediab;Tayeb, Kebir;Fatima Zohra, Kettaf;Ahmed Amine, Daikh;Abdelouahed, Tounsi;Mohamed, Benguediab;Mohamed A., Eltaher
    • Advances in aircraft and spacecraft science
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    • 제10권1호
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    • pp.83-106
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    • 2023
  • In this work, the static behavior of FGM macro and nano-plates under thermomechanical loading. Equilibrium equations are determined by using virtual work principle and local and non-local theory. The novelty of the current model is using a new displacement field with four variables and a warping function considering the effect of shear. Through this analysis, the considered sandwich FGM macro and nanoplates are a homogeneous core and P-FGM faces, homogeneous faces and an E-FGM core and finally P-FGM faces and an E-FGM core. The analytical solution is obtained by using Navier method. The model is verified with previous published works by other models and very close results are obtained within maximum 1% deviation. The numerical results are performed to present the influence of the various parameters such as, geometric ratios, material index as well as the scale parameters are investigated. The present model can be applicable for sandwich FG plates used in nuclear, aero-space, marine, civil and mechanical applications.

DRINKING AS AN EPIDEMIC: A MATHEMATICAL MODEL WITH DYNAMIC BEHAVIOUR

  • Sharma, Swarnali;Samanta, G.P.
    • Journal of applied mathematics & informatics
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    • 제31권1_2호
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    • pp.1-25
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    • 2013
  • In this paper we have developed a mathematical model of alcohol abuse. It consists of four compartments corresponding to four population classes, namely, moderate and occasional drinkers, heavy drinkers, drinkers in treatment and temporarily recovered class. Basic reproduction number $R_0$ has been determined. Sensitivity analysis of $R_0$ identifies ${\beta}_1$, the transmission coefficient from moderate and occasional drinker to heavy drinker, as the most useful parameter to target for the reduction of $R_0$. The model is locally asymptotically stable at disease free or problem free equilibrium (DFE) $E_0$ when $R_0$ < 1. It is found that, when $R_0$ = 1, a backward bifurcation can occur and when $R_0$ > 1, the endemic equilibrium $E^*$ becomes stable. Further analysis gives the global asymptotic stability of DFE. Our aim of this analysis is to identify the parameters of interest for further study with a view for informing and assisting policy-makers in targeting prevention and treatment resources for maximum effectiveness.