• 제목/요약/키워드: Flory-Huggins model

검색결과 13건 처리시간 0.027초

Flory-Huggins 식을 이용한 고분자 흡착 모델 및 전분의 흡착 (Polymker Adsorption Model Using the Flory-Huggins Equation and Asdsorption of Starch)

  • 현상훈;정한남
    • 한국세라믹학회지
    • /
    • 제23권3호
    • /
    • pp.35-43
    • /
    • 1986
  • The equilibrium dsorption of starch on activated alumina and kaolin was studied to provide the fundamental data for investigating the effect of polymer adsorption on the flocculation of solid particles. The new polymer adsor-ption model(PAH-FH) predicting the adsorption equilibria of polymers on the solid surface has been developed using the solution theory and the concepts of Gibbs dividing surface in conjunction with the Flory-Huggins eq-uation and the adsorption behaviors of polymers were examined by this model The accurate adsorption equilibrium data of starch on alumina and kaolin were determined within the tempera-ture range of 298-318K by the ignition loss method. Using these experimenta data the model developed in this study was evaluated. It was shown that this model could predict the adsorption isotherm more accura-tely than the Langmuir model as well as could describe the characteristics of the adsorption equilibria through model parameters.

  • PDF

Thermal Behavior of Critical Micelle Concentration from the Standpoint of Flory-Huggins Model

  • Lim, Kyung-Hee
    • Bulletin of the Korean Chemical Society
    • /
    • 제30권9호
    • /
    • pp.2001-2006
    • /
    • 2009
  • Temperature dependence of the critical micelle concentration (CMC), $x_{CMC}$, in micellization can be described by ln $x_{CMC}$ = A + BT + C lnT + D/T, which has been derived statistical-mechanically. Here A, B, C, and D are fitting parameters. The equation fits the CMC data better than conventionally used polynomial equations of temperature. Moreover, it yields the unique(exponent) value of 2 when the CMC is expressed in a power-law form. This finding is quite significant, because it may point to the universality of the thermal behavior of CMC. Hence, in this article, the nature of the equation ln $x_{CMC}$ = A + BT + C lnT + D/T is examined from a lattice-theory point of view through the Flory-Huggins model. It is found that a linear behavior of heat capacity change of micellization is responsible for the CMC equation of temperature.

고분자막내에서 용매 확산 모델 (Solvent diffusion model in polymer membrane)

  • 김종수;이광래
    • 한국막학회:학술대회논문집
    • /
    • 한국막학회 1998년도 추계 총회 및 학술발표회
    • /
    • pp.59-62
    • /
    • 1998
  • 1. 서론 : 막내부에서 물질전달을 설명하는 이론으로 현재 solution-diffusion model과 pore-flow model 두 가지가 있다. 이 중에서 흡착, 확산, 탈착의 3과정을 거치는 solution-diffusion model이 주로 사용되고 있다. 본 연구에서는 solution-diffusion model 에서 상호확산계수를 구하기 위해서 Vrentas-Duda식을 이용하여 자기확산계수를 구하고 Bearman식으로부터 상호확산계수를 구하는 과정을 UNIFAC-FV와 modified UNIFAC-FV을 이용하여 계산하였으며 Flory-Huggins식을 이용한 기존방법과 비교하였다.(생략)

  • PDF

연속열역학을 이용한 랜덤공중합체 용액의 상분리 (Phase Separations in Random Copolymer Solutions by Continuous Thermodynamics)

  • 서신호;김기창;이광래
    • 산업기술연구
    • /
    • 제18권
    • /
    • pp.277-287
    • /
    • 1998
  • In this work continuous thermodynamics was adopted for describing the influence of copolymer polydispersity on phase separations in random copolymer solutions. Continuous themodynamic frameworks were formulated using the Flory-Huggin's excess Gibbs free energy model in which the concentration- and temperature-depentent terms of interaction parameter x were modified. Cloud-point curves and coexistence curves of poly(ethylene-vinylactate)/methylacetate solutions and poly(ehtylene-vinylacetate)/ethylacetate solutions were measured, and experimental data were fitted with theoretical relations formulated in this work. Calculated could-point curves were more good ageeable with experimental data than the modified Flory-Huggins's relations. Coexistence curves which were evaluated by using parameters of x estimated from experimental cloud-point curves, were found to coincide with experimental data.

  • PDF

HFC-404a와 Polyol ester 오일 혼합물의 증기압 측정 (Measurement of Vapor Pressure of HFC-404a and Polyol ester Mixture System)

  • 박영무;김락현
    • 에너지공학
    • /
    • 제18권3호
    • /
    • pp.203-211
    • /
    • 2009
  • 기존의 CFC 계열 및 HCFC 계열 냉매들이 오존층 붕괴와 지구온난화의 원인들 중의 한가지로 밝혀지면서 이것을 대체할 수 있는 냉매의 개발은 주요한 연구과제였다. 이제 몇 가지 대체 냉매들이 개발되면서 이것들 이 냉동시스템에 사용될 때 발생하는 상용성 (Compatibility)이 연구될 필요가 있다. 본 연구에서는 대체냉매의 상용성 연구의 일환으로 1,1,1,2-Tetrafluoroethane(HFC-134a) +1,1,1-Trifluoroetane(HFC-143a) + Pentafluoroethane (HFC-125)의 혼합대체냉매 HFC-404a 와 냉매 윤활유의 하나인 POE 오일 혼합물의 증기압을 측정하였다. 측정온도범위는 냉매 시스템의 운전온도를 고려하여, 263.15K 에서 323.15 K로 하였으며 오일농도범위는 0 mass% 에서 90 mass% 까지로 하였다. 측정결과 273.15K 이하의 온도에서 오일 농도 30 mass%까지 증기압에 대한 오일의 영향은 미미하였으며 50 mass% 이상에서는 증기압이 급격히 떨어지는 것이 밝혀졌다. 측정자료를 이용하여 HFC-404a와 POE 오일 혼합물의 증기압을 예측할 수 있는 모형을 개발 하기 위하여 Rault 모델과 Flory-Huggins 모델을 사용하여 측정치와 비교하였다. 그리고 보다 정확하고 실용적으로 증기압을 예측할 수 있는 경험식을 도출하였다.

에탄올 수용액의 Pervaporation에서의 투과거동 (A Permeation Behavior for the Pervaporation of Aqueous Ethanol Solution)

  • 배성렬;이한선;황성민;김희택;히데히로 구마자와
    • 공업화학
    • /
    • 제5권1호
    • /
    • pp.127-138
    • /
    • 1994
  • CTA(cellulose triacetate) 막을 이용한 물과 에탄올의 투과증발(pervaporation) 막분리에서 수착과 투과실험으로부터 용해-확산 투과기구modeling 및 그 함수형과 parameters에 대한 해석을 시도하였다. 순성분들의 수착 data를 사용하여 Flory-Huggins 식으로 계산한 3 성분계(에탄올/물/CTA) 수착평형 조성을 추산하여 실측치와 비교하였다. 막 내부의 조성과 액상의 평형 조성간에 열역학적 평형 관계식을 적용하기 위해 막 내 겉보기 활동도를 Wilson식과 Van Laar식으로 상관시켰다. 투과속도식은 한 성분의 투과속도가 그 성분의 막 내 농도구배에 비례하며, 또한 확산계수의 농도 의존성이 에탄올 농도만의 지수함수라고 가정하여 물과 에탄을 투과속도를 계산하였으며 이는 실측치와 잘 일치하였다. 한 성분의 투과속도와 수착량이 다른 성분에 비해 현저히 작은 경우에는 대류항을 무시할 수 없음을 알았고, 온도가 높고, 투과측 압력이 낮을수록 투과속도와 투과선택도가 증가하였다.

  • PDF

Consideration of Long and Middle Range Interaction on the Calculation of Activities for Binary Polymer Solutions

  • Lee, Seung-Seok;Bae, Young-Chan;Sun, Yang-Kook;Kim, Jae-Jun
    • Macromolecular Research
    • /
    • 제16권4호
    • /
    • pp.320-328
    • /
    • 2008
  • We established a thermodynamic framework of group contribution method based on modified double lattice (MDL) model. The proposed model included the long-range interaction contribution caused by the Coulomb electrostatic forces, the middle-range interaction contribution from the indirect effects of the charge interactions and the short-range interaction from modified double lattice model. The group contribution method explained the combinatorial energy contribution responsible for the revised Flory-Huggins entropy of mixing, the van der Waals energy contribution from dispersion, the polar force, and the specific energy contribution from hydrogen bonding. We showed the solvent activities of various polymer solution systems in comparison with theoretical predictions based on experimental data. The proposed model gave a very good agreement with the experimental data.

Group Contribution Method for Group Contribution Method for Estimation of Vapor Liquid Equilibria in Polymer Solutions

  • Oh, Suk-Yung;Bae, Young-Chan
    • Macromolecular Research
    • /
    • 제17권11호
    • /
    • pp.829-841
    • /
    • 2009
  • This study introduces a specified group-contribution method for predicting the phase equilibria in polymer solutions. The method is based on a modified double lattice model developed previously. The proposed model includes a combinatorial energy contribution that is responsible for the revised Flory-Huggins entropy of mixing, the van der Waals energy contribution from dispersion, a polar force and specific energy contribution. Using the group-interaction parameters obtained from data reduction, the solvent activities for a large variety of mixtures of polymers and solvents over a wide range of temperatures can be predicted with good accuracy. This method is simple but provides improved predictions compared to those of the other group contribution methods.

A Theory of Polymer Adsorption from Solution

  • Lee, Woong-Ki;Pak, Hyung-Suk
    • Bulletin of the Korean Chemical Society
    • /
    • 제8권1호
    • /
    • pp.19-26
    • /
    • 1987
  • A statistical thermodynamical treatment for polymer adsorption from solution is presented. The canonical partition function for the polymer solution in the presence of a surface or an impermeable interface is formulated on the basis of usual quasi-crystalline lattice model, Bragg-Williams approximation of random mixing, and Pak's simple treatment of liquid. The present theory gives the surface excess ${\Gamma}_{exc}$ and the surface coverage ${\phi}^s_2$ of the polymer as a function of the chain length x, the Flory-Huggins parameter x, the adsorption energy parameter $x_s$, and polymer concentration $v_2$. Present theory is also applicable to the calculation of interfacial tension of polymer solution against water. For the idealized flexible polymer, interfacial tensions according to our theory fit good to the experimental data to the agreeable degrees.

R-410A/POE 오일 혼합물의 기-액상평형과 상용성에 관한 연구 (Investigation of Vapor-Liquid Equilibrium and Miscibility for R-410A/POE Oil Mixtures)

  • 김창년;송준석;이은호;박영무;유재석;김기현
    • 설비공학논문집
    • /
    • 제12권6호
    • /
    • pp.589-598
    • /
    • 2000
  • The vapor-liquid equilibrium and miscibility measurement apparatus was developed and used to obtain data for refrigerant/oil mixture. The vapor-liquid equilibrium and miscibility data for R-410a/POE32 and R-410A/POE46 oil mixtures are obtained over the temperature range from -20 to $60^{\circ}C\;with\;10^{\circ}C$ intervals and the oil concentration range from 0 to 90 wt%. Using the experimental data, an empirical model is developed to predict the temperature-pressure-concentration relations for R-410A/POE oil mixtures at equilibrium. In the R-410A/POE32 oil mixture, the average root-mean-square deviation between measured data and calculated results from the empirical model is 2.00% and in the R-410a/POE46 oil mixture, that is 3.69%. Flory-Huggins theory is also used to predict refrigerant/oil mixture behavior. Miscibility for R-410A/POE32 oil mixture was observed all over the experimental conditions. Immiscibility for R-410A/POE46 oil mixture was observed at the low oil concentrations(10~30 wt%).

  • PDF