• 설비공학논문집
• /
• 제12권1호
• /
• pp.1-11
• /
• 2000

This study investigates the problem of phase change from liquid to solid in the inviscid stagnation flow. The solution of dimensionless governing equations is determined by the three dimensionless parameters of (temperature ratio/conductivity ratio), Stefan number, and diffusi-vity ratio. The solution at the initial stage of freezing is obtained by expanding it in powers of time, and the final equilibrium state is determined from the steady-state governing equations. The equilibrium state is dependent on (temperature ratio/conductivity ratio), but is independent of Stefan number and diffusivity ratio. The effect of fluid flow on the pure conduction problem can be clearly seen from the solution of the initial stage and the final equilibrium state, and the characteristics of the solidification process for all the dimensionless parameters are elucidated.

• 지역연구
• /
• 제13권2호
• /
• pp.45-54
• /
• 1997

A regional economy is characterized as a spatial economy. However the literature shows that it has been treated as a point economy since space is little recognized in regional modeling due to mathematical complication. This leads to the fact that regional model does not sufficiently represent regional characteristic. This paper attempts to construct a regional growth model in a partial equilibrium framework specifically taking into consideration land as a primary factor. The model is formulated largely neoclassical. Labor is assumed to move in response to differences in the wage rate, while capital is perfectly mobile across regions. The paper shows that two growth equilibrium points exist, one stable equilibrium point and the other unstable equilibrium point. The unstable growth equilibrium indicates the existence of minimum threshold that a region must overcome the minimum threshold to grow constantly. Consequently, directions of regional growth are characterized by two growth paths depending on the initial condition of a region. That is to say, a region below the minimum threshold is converging toward the lower stable equilibrium point over time. When a regional economy initially lies above the minimum threshold, it will grow forever. A regional economy is not thus necessarily converging a stationary is not thus necessarily converging a stationary equilibrium point through factor movement. Finally, the impacts of the presence of agglomeration economies and diseconomies are analyzed through the phase diagram. The paper also shows that agglomeration economies result in lowering the minimum threshold and in escalating the level of stable equilibrium However, when agglomeration diseconomies prevail, the results are opposite, i.e., rising the minimum threshold of growth and lowering the growth level of stable equilibrium.

• 공업화학
• /
• 제8권6호
• /
• pp.967-972
• /
• 1997

접촉분해경유(LCO)와 dimethylsulfoxide(DMSO)수용액의 평형추출로부터 얻어진 추출상을 원료로 사용한 역추출에 의해 추출상중의 방향족의 회수를 검토했다. 역추출 용매의 선정을 위해, Benzene, Toluene, m-Xylene(mX), n-Hexane(Hx)과 n-Octane(Ot)을 용매로 사용하여 추출상-용매간의 분배평형을 측정한 결과, 추출상중의 방향족의 회수면에서 Hx이 가장 적절한 용매이었다. 또, Hx을 용매로 사용하여 평형 역추출을 행해 방향족의 회수에 대한 조작인자의 영향을 검토했다. 방향족에 대한 분배계수는 용매/원료(추출상) 질량비(S/F)(S/F를 변화시켜 얻어진 추잔상 혹은 추출상중의 질량분율)에 관계없이 일정했으나 수율은 S/F가 증가함에 따라 증가했다. 조작온도는 방향족의 분배계수와 수율에 영향을 미치지 못했다. 나프탈렌류 성분(탄소수:10~12)간에는 탄소수가 많을수록 분배계수 및 수율이 컸다. 또한, 회분 교반조를 사용하여 역추출을 행해 방향족 성분의 물질이동 속도를 측정했다.

• 공학논문집
• /
• 제6권2호
• /
• pp.85-98
• /
• 2004

The adsorption equilibrium data for the binary gas mixture system from the pure gas adsorption data of carbon dioxide and ethylene on ZSM-5 prepared were predicted. The binary gas mixture adsorption data have been examined against predicted values by two models-the vacancy solution model(VSM) and the statistical thermodynamic model(STM), using parameters obtained from the single component isotherm. The binary gas mixture data for the carbon dioxide-ethylene system were obtained for cation exchanged forms of ZSM-5 for the gas phase carbon dioxide mole fraction of 0.752 at $37^{\circ}C$ and 1 atm. The experimental adsorption phase diagrams were obtained for carbon dioxide-ethylene on sodium form ZSM-5 synthesized. The single component adsorption isotherms for carbon dioxide and ethylene were also obtained for this zeolite. The single component data were used to obtain parameters derived in two models. These parameters were, in turn, used to predict the binary mixture isotherms for this zeolite. Both the vacancy solution and the statistical thermodynamic models give satisfactory predictions of adsorption phase diagrams for the binary gas mixtures of carbon dioxide and ethylene on sodium exchanged ZSM-5. Also the correlation between the experimental data and the predicted values is generally in good agreement. The system appears to show ideal behavior with a relatively constant separation factor. The slight increase in adsorption capacity with an increase in ionic radius is due, in part, to the higher polarizability associated with larger cations.

• International Journal of Air-Conditioning and Refrigeration
• /
• 제16권1호
• /
• pp.22-29
• /
• 2008

A sequence of visually experimental observations was conducted to investigate the flow boiling and two-phase flow in a coiled tube. Different boiling modes and bubble dynamical evolutions were identified for better recognizing the phenomena and understanding the two-phase flow evolution and heat transfer mechanisms. The dissolved gases and remained vapor would serve as foreign nucleation sites, and together with the effect of buoyancy, centrifugal force and liquid flow, these also induce very different flow boiling nucleation, boiling modes, bubble dynamical behavior, and further the boiling heat transfer performance. Bubbly flow, plug flow, slug flow, stratified/wavy flow and annular flow were observed during the boiling process in the coiled tube. Particularly the effects of flow reconstructing and thermal non-equilibrium release in the bends were noted and discussed with the physical understanding. Coupled with the effects of the buoyancy, centrifugal force and inertia or momentum ratio of the two fluids, the flow reconstructing and thermal non-equilibrium release effects have critical importance for flow pattern in the bends and flow evolution in next straight sections.

• Korean Chemical Engineering Research
• /
• 제56권2호
• /
• pp.222-228
• /
• 2018

석유화학산업의 대표적인 물질로 쓰이는 벤젠은 각종 화학 제품의 기초 물질이다. 그러나 일반적으로 벤젠은 석유화학 산업에서 순수 물질로 존재하지 못하고 알코올류와 벤젠 혼합물로 존재하게 된다. 또한 알코올을 한 성분으로 하는 혼합물은 공비 혼합물이 생성되기 때문에 분리 정제를 위해서는 상평형 데이터가 필수적이다. 본 연구에서는 알코올을 대표하는 1-프로판올을 사용하여 1-프로판올/벤젠 계에 대하여 재순환 평형장치를 이용하여 평형 온도/압력 효과에 따른 상평형 연구를 수행하였다. 측정된 기-액 평형 데이터는 UNIQUAC 식과 WILSON 식을 이용하여 상관관계 시키고 Gibbs/Duhem식을이용하여열역학적건전성을확인하였다. 상평형실험결과 RMSE (Root Mean Square Error)와 AAD (Average Absolute Deviation)는 두 모델식에서 0.05 이하의 값을 보여 실험값과 계산 값이 잘 일치함을 알 수 있었다. 또한 Gibbs/Duhem식을 이용하여 열역학적 건전성을 판별한 결과 잔류항 값이 ${\pm}0.2$ 이내에 분포하는 것을 통해 데이터에 대한 건전성을 확인할 수 있었다.

• 공업화학
• /
• 제22권4호
• /
• pp.416-422
• /
• 2011

본 연구에서는 보조계면활성제 첨가가 NP7 비이온 계면활성제, 물, 탄화수소 오일의 3성분으로 이루어진 시스템의 평형 및 동적 거동에 미치는 영향을 살펴보았다. 실험에서 사용한 n-pentanol, n-octanol, n-decanol 등의 보조계면활성제는 모두 소수성 첨가제로 작용하여, 알코올 첨가에 따라 oil in water (O/W) microemulsion (${\mu}E$)이 excess 오일상과 평형을 이루는 2상 영역으로부터 middle-phase ${\mu}E$이 excess water, excess 오일상과 각각 평형을 이루는 3상 영역을 거쳐서 water in oil (W/O) ${\mu}E$이 excess 물상과 평형을 이루는 2상으로 전이되었다. 또한 알코올의 사슬 길이 증가 및 첨가량 증가에 따라 상전이 온도는 감소하였다. O/W ${\mu}E$이 존재하는 조건에서는 비극성 오일의 종류와 상관없이 오일이 계면활성제 마이셀에 의하여 가용화되어 시간에 따라 오일의 크기가 감소하였다. 한편 middle-phase ${\mu}E$를 포함한 3상이 형성되는 조건에서는 매우 낮은 계면장력으로 인하여 오일이 수용액 상에 빠른 속도로 가용화되었고 작은 drop 형태로 유화되었다. 반면에 W/O ${\mu}E$의 2상을 형성하는 조건에서는 과포화로 인하여 일어나는 자발적 유화 현상과 물과 계면활성제의 오일상으로의 확산으로 인한 오일의 크기 증가가 관찰되었다. 비극성 탄화수소 오일과 계면활성제 수용액 사이의 시간에 따른 계면장력 측정 결과는 동적 거동 실험결과와 일치하는 경향을 나타내었다.

• 한국전산유체공학회:학술대회논문집
• /
• 한국전산유체공학회 2003년도 The Fifth Asian Computational Fluid Dynamics Conference
• /
• pp.181-182
• /
• 2003

A preconditioned numerical method for gas-liquid to-phase flow is applied to solve cavitating flow. The present method employs a density based finite-difference method of dual time-stepping integration procedure and Roe's flux difference splitting approximation with MUSCL-TVD scheme. A homogeneous equilibrium cavitation model is used. The method permits simple treatment of the whole gas-liquid two-phase flow field including wave propagation, large density changes and incompressible flow characteristics at low Mach number. By this method, two-dimensional internal flows through a venturi tuve and decelerating cascades are computed and discussed.

• 한국추진공학회지
• /
• 제7권1호
• /
• pp.57-65
• /
• 2003

본 연구에서는 압축수가 노즐을 통해 급격히 팽창될 때 기액이상류가 플래싱 증발하게 되는 이상류의 임계유동을 Isentropic-Homogeneous-Equilibrium model과 Leung model을 사용해 해석하였다. 그 결과 이상유동은 연속/불연속적 초크로 될 수 있으며, 정체점의 압력이 10Mpa일 경우에는 단상류 유동의 초크현상과 유사한 연속적인 초크현상이 정체점의 아냉각도가 10K이하일 경우에만 발생한다는 것을 알았다.

• 한국환경과학회지
• /
• 제24권7호
• /
• pp.841-849
• /
• 2015

The solid phase extractant SAN-D2EHPA/TBP containing two extractants of Di-(2-ethylhexyl)phosphoric acid (D2EHPA) and Tri-butyl-phosphate (TBP) was prepared by immobilizing two exractants D2EHPA and TBP in styrene acrylonitrile copolymer (SAN). The prepared SAN-D2EHPA/TBP was characterized by using fourier transform infrared spectrometer (FTIR) and scanning electron microscopy (SEM). The solid phase extractant SAN-D2EHPA/TBP was tested for the removal of Cu(II) from aqueous solution. Experiments were carried out as a function of the pH and Cu(II) concentration in the aqueous phase. The equilibrium time was 180 min and equilibrium experiment data obeyed the pseudo-second-order kinetic model. The Langmuir isotherm model represented the experiment data as well. The maximum removal capacity of Cu(II) calculated from Langmuir isotherm model was 3.1 mg/g.