高校化学工程学报
高校化學工程學報
고교화학공정학보
JOURNAL OF CHEMICAL ENGINEERING OF CHINESE UNIVERSITIES
2012年
6期
923-928
,共6页
自扩散系数%自由体积理论%摩擦理论%理论模型
自擴散繫數%自由體積理論%摩抆理論%理論模型
자확산계수%자유체적이론%마찰이론%이론모형
self-diffusion coefficient%free-volume theory%friction theory%theoretical model
基于自由体积理论和摩擦理论,提出了一个新的用于预测流体自扩散系数的理论模型.基于该理论模型,通过结合文献给出的分子动力学模拟数据,推导出了一个可以用于计算 Lennard-Jones 流体自扩散系数的半经验方程,与文献给出的分子动力学模拟数据相比,方程的平均相对偏差为3.71%.同时,选取了4种不同分子结构的流体作为计算工质,对其自扩散系数进行了计算,结果显示:与文献给出的实验数据相比,作者提出的方程的平均相对偏差为9.32%.
基于自由體積理論和摩抆理論,提齣瞭一箇新的用于預測流體自擴散繫數的理論模型.基于該理論模型,通過結閤文獻給齣的分子動力學模擬數據,推導齣瞭一箇可以用于計算 Lennard-Jones 流體自擴散繫數的半經驗方程,與文獻給齣的分子動力學模擬數據相比,方程的平均相對偏差為3.71%.同時,選取瞭4種不同分子結構的流體作為計算工質,對其自擴散繫數進行瞭計算,結果顯示:與文獻給齣的實驗數據相比,作者提齣的方程的平均相對偏差為9.32%.
기우자유체적이론화마찰이론,제출료일개신적용우예측류체자확산계수적이론모형.기우해이론모형,통과결합문헌급출적분자동역학모의수거,추도출료일개가이용우계산 Lennard-Jones 류체자확산계수적반경험방정,여문헌급출적분자동역학모의수거상비,방정적평균상대편차위3.71%.동시,선취료4충불동분자결구적류체작위계산공질,대기자확산계수진행료계산,결과현시:여문헌급출적실험수거상비,작자제출적방정적평균상대편차위9.32%.
Based on the free-volume theory and the friction theory, a new theory model for the prediction of self-diffusion coefficient of fluid was proposed. With the proposed model and the molecular dynamics (MD) simulation data obtained from the literature, a new semi-empirical equation for the calculation of self-diffusion coefficient of Lennard-Jones fluid was derived. The calculated results show that, compared with the MD simulation data, the average absolute deviation of using the new semi-empirical equation for Lennard-Jones fluid is 3.71%. In order to further confirm the accuracy of the new semi-empirical equation, the self-diffusion coefficients of four fluids (krypton, hydrogen, carbon dioxide, cyclohexane) with different molecular structures were calculated by the new semi-empirical equation and other two equations in literatures. The results show that, compared with the experiment data in literatures, the average absolute deviation of the calculating results of using the new semi-empirical equation is 9.32%.