喷雾干燥过程中雾滴内传质与传热方程的数值求解  

Mass and Heat Transfer Model in Droplets During Spray Drying Process

作　　者：张同旺[1] 张翊[1] 朱丙田[1] 刘凌涛[1] 韩颖[1] 何广湘[2] 陈海英[3] ZHANG Tongwang;ZHANG Yi;ZHU Bingtian;LIU Lingtao;HAN Ying;HE Guangxiang;CHEN Haiying(Research Institute of Petroleum Processing,SINOPEC,Beijing 100083,China;College of Chemical Engineering,Beijing Institute of Petrochemical Technology,Beijing 102617,China;Chemical Department,Qinghai University,Xining 810016,China)

机构地区：[1]中国石化石油化工科学研究院,北京100083 [2]北京石油化工学院化学工程学院,北京102617 [3]青海大学化工学院,青海西宁810016

出　　处：《石油学报（石油加工）》2019年第4期708-713,共6页Acta Petrolei Sinica(Petroleum Processing Section)

基　　金：国家自然科学基金项目(U1663224);中国石油化工股份有限公司项目(118016-9)资助

摘　　要：将广义Navier-Stokes方程应用于喷雾干燥过程中雾滴内的传质与传热过程,简化后建立了雾滴内传质与传热模型。由于雾滴表面的边界条件为第三类边界条件,不能显式求解,将边界条件与雾滴内传递模型相结合,并采用中心差分格式将空间项离散,将传质、传热模型化为每个空间节点上关于时间的常微分方程组,再应用龙格-库塔法求解,建立了快速求解雾滴干燥模型的方法,与某特殊条件下解析解的比较表明,前述方法准确、可靠。将其应用于实际雾滴内浓度、温度变化过程的求解,结果合理。General Navier-Stokes equation was applied to mass and heat transfer of aqueous droplets during spray drying process.After simplification,the transfer model of aqueous droplets was established.Because of the third boundary condition,the explicit solution at the boundary cannot be obtained.The boundary condition was combined with the transfer model,and the central difference schemes were used to discrete the spatial items.The model was converted to ordinary differential equations on each node,and Runge-Kutta method was used to solve these equations.An efficient numerical method to solve droplets drying model is established.Compared with the analytical solution under a special condition,it is shown that the proposed method is accurate and reliable.Later,the method was used to calculate the concentration and temperature profile in actual aqueous droplets,and the result is reasonable.

关 键 词：喷雾干燥 NAVIER-STOKES方程 第三类边界条件 中心差分 龙格-库塔法 

分 类 号：O359[理学—流体力学] O643.36[理学—力学]