• 제목/요약/키워드: Wilson equation

검색결과 53건 처리시간 0.025초

일정압력하에서 1-propanol/benzene 계의 기-액 상평형 (Isobaric Vapor-Liquid Equilibrium of 1-propanol and Benzene System at Subatmospheric Pressures)

  • 노선균;강춘형
    • 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.

Methyl ethyl ketone과 물 이성분계 혼합물의 압력변환 증류공정에 대한 전산모사 및 최적화에 대한 연구 (Simulation and Optimization Study on the Pressure Swing Distillation of Methyl ethyl ketone-Water System)

  • 노상균;노재현;조정호
    • 한국산학기술학회논문지
    • /
    • 제13권8호
    • /
    • pp.3764-3773
    • /
    • 2012
  • 본 연구에서는 methyl ethyl ketone (MEK)와 물의 이성분계 공비 혼합물의 공비조성이 압력에 따라서 민감하게 변하는 현상을 이용하여 압력변환 증류(pressure-swing distillation; PSD)공정을 통해서 순도가 99.9mole% 이상의 MEK를 분리해 내기 위한 전산모사 및 공정 최적화를 수행하였다. 전산모사를 위하여 상용성 화학공정 모사기인 Invensys사의 PRO/II with PROVISION 9.1을 활용하였고, 열역학 모델식으로는 Wilson 액체 활동도계수 모델식을 활용하였다. PSD 공정은 저압 및 고압의 증류탑 2기의 증류탑 배열을 사용하는데 저압 증류탑을 전단에 두는 저압-고압 증류탑 배열과 저압 증류탑을 후단에 두는 고압-저압 증류탑 배열로 분류할 수 있다. 본 연구에서는 각각의 배열에 대한 증류탑 환류비와 원료 주입단의 위치를 조절변수로 하여 총 재비기의 heat duty의 합을 최소화시킨 후 두 공정배열을 서로 비교하였다.

이성분계 혼합물의 하부 인화점에 의한 이슬점 예측 (Dew Point Prediction by Lower Flash Points of Binary Mixtures)

  • 하동명;이성진
    • 한국안전학회지
    • /
    • 제32권6호
    • /
    • pp.34-39
    • /
    • 2017
  • Vapor-liquid equilibrium calculation is required to properly design and operation of distillation process. The general calculation method is to use binary interaction parameter. Lower flash points of cyclohexanol+aniline and cyclohexanol+cyclohexanone were measured by using Seta-flash closed cup apparatus. The measured flash points were compared with those calculated by the method based on Raoult's law and the optimization method using Wilson equation. The absolute average errors(A.A.E.) of the results calculated by Raout's law are $0.25^{\circ}C$ and $1.07^{\circ}C$ for cyclohexanol+aniline and cyclohexanol+cyclohexanone, respectively. The absolute average errors of the results calculated by the optimization method are $0.22^{\circ}C$ and $0.65^{\circ}C$ for cyclohexanol+aniline and cyclohexanol+cyclohexanone, respectively. As can be seen from A.A.E., the calculated values based on the optimization method were found to be better than those based on the Raoult's law. The binary interaction parameters calculated by the optimization method are used to predict the dew points of cyclohexanol+aniline and cyclohexanol+cyclohexanone. The A.A.E. for these mixtures show that there is an acceptable agreement between experimental and calculated dew poins.

황산바륨의 합성조건과 유동학적 특성 (Synthetic Conditions and Rheological Characteristics of Barium Sulfate)

  • 신화우;김준희;최광식;장영수;이광표
    • 약학회지
    • /
    • 제36권6호
    • /
    • pp.538-547
    • /
    • 1992
  • Optimal synthetic condition of barium sulfate were investigated from the viewpoint of yield and bulkiness according to a randomized complete block design proposed by G.E.P. Box and K.B. Wilson. Barium chloride and magnesium sulfate were utilized as reactants in order to prepare barium sulfate in this study. It was found that optimum temperature range of reactant solutions was $60{\sim}100^{\circ}C$ and the optimum concentration range of the reactant solutions was $10{\sim}17.3%$ and $10{\sim}20%$ respectively, on the viewpoint of yield and bulkiness. The optimum mole ratio of $BaCI_2$ to $BaSO_4$ was in the range of $1.50{\sim}2.0$ and the optimum mole ratio of $BaCI_2$ to $BaSO_4$ was in the range of $1.50{\sim}2.0$ and the optimum reacting time range was $15{\sim}20$ minutes. The optimum drying temperature range was $110{\sim}130^{\circ}C$ from the viewpoint of yield, but it was $90{\sim}110^{\circ}C$ on the basis of bulkiness. Apparent viscosity of barium sulfate suspensions dispersed in various concentrations of Na. CMC was measured by using Brookfield synchrolectric viscometer model LVT, the relative equation, log ${\eta}_{sp}=A+B.{\phi}$ was examined and the equation was found to agree fairly well. 1 w/v% Na. CMC aqueous solution and 0.1 volume fraction of $BaSO_4$ powder were optimum in the preparation of $BaSO_4$ suspension showing highest viscosity at infinite shearing.

  • PDF

지하철진동 예측식의 사용성 판단을 위한 실측값과 예측값의 비교 (A Comparison between Measurement Values and Prediction Values for the Decision of Applicability of Vibration Prediction Equations)

  • 허영;이승수;김희철;신한철;이인세
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 1996년도 춘계학술대회논문집; 부산수산대학교, 10 May 1996
    • /
    • pp.80-85
    • /
    • 1996
  • Predictions of vibration induced by subway operation has been studied through comparison between the measurement values and the estimated values which proposed by other scientists to determine the adequacy of each equation. It was found from this study that the Wilson's prediction equation gives the best overall approximation value although the peak frequency band lies somewhat higher than that obtained from measurement.

  • PDF

2성분계 {1,2-dichloropropane+2-(2-methoxyethoxy)ethanol 및 + 2-(2-ethoxyethoxy)ethanol}에 대한 298.15 K에서의 과잉몰엔탈피 및 과잉몰부피 (Excess Molar Enthalpies and Excess Molar Volumes for the Binary Mixtures {1,2-dichloropropane+2-(2-methoxyethoxy)ethanol, and +2-(2-ethoxyethoxy)ethanol} at 298.15 K)

  • 김재원;김문갑
    • Korean Chemical Engineering Research
    • /
    • 제44권5호
    • /
    • pp.444-452
    • /
    • 2006
  • 298.15 K 및 1 atm에서 2성분계 {1,2-dichloropropane+2-(2-methoxyethoxy)ethanol} 및 {1,2-dichloropropane+2-(2-ethoxyethoxy)ethanol}에 대한 과잉몰부피와 과잉몰엔탈피를 측정하였다. 과잉몰부피를 측정하기 위한 밀도는 vibrating glass-tube 방식의 densimeter를 이용하였고, 과잉몰엔탈피는 flow mixing 형의 isothermal microcalorimeter를 이용하였다. 측정한 과잉몰부피 및 과잉몰엔탈피는 조성과 상관지어 모두 S자형을 나타내었다. 초기 2-(2-alkoxyethoxy)ethanol 의 강한 자체 회합현상으로 음의 편차를 나타내며, 할로겐화탄화수소 분자의 증가에 따라 2-(2-alkoxyethoxy)ethanol 분자간의 수소결합을 끊기 위한 에너지가 상대적 더 많이 필요함을 보여주고 있다. 실험으로부터 얻어진 $V^E_m$$H^E_m$ data는 Nelder-Mead의 simplex pattern search method를 이용하여 Redlich-Kister 다항식에 접합(fitting)하였고, Wilson, NRTL 및 UNIQUAC model을 이용하여 $V^E_m$ data와 조성과의 상관관계를 조사하였다.

학령기 천식 아동의 건강관련 삶의 질 구조모형 (Structural Equation Model of Health-Related Quality of Life in School Age Children with Asthma)

  • 김윤수;박호란
    • 대한간호학회지
    • /
    • 제48권1호
    • /
    • pp.96-108
    • /
    • 2018
  • Purpose: This study aimed to construct and test a hypothetical model of the quality of life of school-age children with asthma based on the health-related quality of life model by Wilson and Cleary. Methods: Data were collected from 205 pairs of pediatric outpatients diagnosed with asthma and their parents in Seoul and Gyeonggi-do from July 2016 to April 2017. The exogenous variables were asthma knowledge, number of accompanying allergic diseases, and social support. The endogenous variables were asthma self-efficacy, asthma symptom control, perceived health status, parental quality of life, and children's quality of life. For data analysis, descriptive statistics, factor analysis, and structural equation modeling were performed. Results: Eighteen of the twenty-four hypotheses selected for the hypothetical model were attentive and supported statistically. Quality of life was explained by asthma self-efficacy, asthma symptom control, perceived health, parental quality of life, and asthma knowledge with 83.5%. Conclusion: Strategies for promoting self-efficacy and enforcing asthma knowledge will be helpful for the improvement of health-related quality of life with school-aged asthmatic children.

Optimum time history analysis of SDOF structures using free scale of Haar wavelet

  • Mahdavi, S.H.;Shojaee, S.
    • Structural Engineering and Mechanics
    • /
    • 제45권1호
    • /
    • pp.95-110
    • /
    • 2013
  • In the recent decade, practical of wavelet technique is being utilized in various domain of science. Particularly, engineers are interested to the wavelet solution method in the time series analysis. Fundamentally, seismic responses of structures against time history loading such as an earthquake, illustrates optimum capability of systems. In this paper, a procedure using particularly discrete Haar wavelet basis functions is introduced, to solve dynamic equation of motion. In the proposed approach, a straightforward formulation in a fluent manner is derived from the approximation of the displacements. For this purpose, Haar operational matrix is derived and applied in the dynamic analysis. It's free-scaled matrix converts differential equation of motion to the algebraic equations. It is shown that accuracy of dynamic responses relies on, access of load in the first step, before piecewise analysis added to the technique of equation solver in the last step for large scale of wavelet. To demonstrate the effectiveness of this scheme, improved formulations are extended to the linear and nonlinear structural dynamic analysis. The validity and effectiveness of the developed method is verified with three examples. The results were compared with those from the numerical methods such as Duhamel integration, Runge-Kutta and Wilson-${\theta}$ method.

폐쇄성 수면무호흡증 환자의 건강관련 삶의 질 구조모형 (Structural Equation Modeling On Health-related Quality of Life in Patients with Obstructive Sleep Apnea)

  • 최수정;김금순
    • 대한간호학회지
    • /
    • 제43권1호
    • /
    • pp.81-90
    • /
    • 2013
  • Purpose: This study was done to test structural equation modeling of health-related quality of life (QOL) of men with obstructive sleep apnea in order to identify parameters affecting QOL and provide guidelines for interventions and strategies to improve QOL in these patients. Methods: Model construction was based on 'The conceptual model of patient outcome in health-related QOL' by Wilson and Cleary, using the variables; age, physiological factors, social support, cognitive appraisal, symptoms and QOL. Participants were 201 adult male patients recruited at a tertiary university hospital in Seoul. Data were collected via questionnaires, polysomnography, and clinical records. Results: Age and symptoms directly influenced QOL. Social support and cognitive appraisal about sleep did not have a direct influence on QOL, but indirectly affected it via symptoms. QOL was lower in patients who were younger and had more severe symptoms. Symptoms were more severe for patients with lower social support and more dysfunctional cognitive appraisal. When social support was lower, cognitive appraisal was more dysfunctional. Conclusion: These results suggest it is necessary to not only manage symptoms, but also apply interventions to increase social support and cognitive appraisal about sleep in order to increase QOL in patients with obstructive sleep apnea.

Studies on Biomass for Young Abies koreana Wilson

  • Lee, Do-Hyung;Yoon, Jun-Hyuck;Woo, Kwan-Soo
    • 한국산림과학회지
    • /
    • 제96권2호
    • /
    • pp.138-144
    • /
    • 2007
  • This study was undertaken to compare the biomass of Abies koreana growing at two sites. A $10{\times}10m$ plot was established in each site of a natural stand in Mt. Jiri and a plantation in Gyeongsan nursery. Five trees of A. koreana were randomly selected in each site. The following traits were investigated from each tree : height, basal diameter, age, weight of stem, branches, and needles as above-ground traits and weight of total roots, horizontal roots, and vertical roots as below-ground traits. In Gyeongsan nursery, age of sample trees was negatively correlated with both height and weight of total stem, while height was highly correlated with weight of horizontal roots. There was high correlation between the basal diameter and weight of total stem, and between the basal diameter and weight of roots. In Mt. Jiri stand, most of the above-ground traits except age were significantly correlated with the below-ground traits. The linear regression equation between the cross section area of base (X) and the weight of total stem (Y) in Gyeongsan nursery was Y=12.66X-12.92, and correlation was significant ($R^2=0.89$). The linear regression equation between the cross section area of base(X) and the weight of total branches (Y) in Mt. Jiri stand was Y=25.51X+6.00, and correlation was highly significant ($R^2=1.0$).