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数学软件Mathematica在流体流动计算中的应用

发表时间:2010-09-15  浏览量:2602  下载量:1350
全部作者: 张雅琪,杜迎春,杜春晖
作者单位: 北京服装学院材料科学与工程学院;北京经济管理职业学院财务会计系
摘 要: 计算实例表明:流体流动中的有关计算要用到数学软件Mathematica,包括符号运算功能推导平壁上的降落液膜流动速度分布函数,曲线拟合方法处理流体流动实验数据,求解微分方程形式的非定态流动物料衡算数学模型,用FindRoot等命令求解简单管路和复杂管路操作型计算中遇到的非线性方程组,并可方便地绘制有关函数图形,准确、形象地展示计算过程和计算结果,免去了复杂、繁琐、耗时的手工计算,方便教师讲解和学生理解。
关 键 词: 化工热力学;Mathematica;数学软件;化工原理;流体流动;数学模型
Title: Applications of Mathematica in fluid flow
Author: ZHANG Yaqi, DU Yingchun, DU Chunhui
Organization: Department of Materials Science and Engineering, Beijing Institute of Clothing Technology; Department of Financial Accounting, Beijing Institute of Economic Management
Abstract: The results of calculation examples show that: mathematical software Mathematica is used for processing some calculations about fluid flow, such as deriving flat wall falling film flow velocity distribution function by symbol calculation, curve fitting approach to fluid flow experimental data, solving differential equation from non-steady-state flow by NDSolve function, solving sets of nonlinear equations in simple and complex pipe-line calculations by FindRoot function, etc. By the application of Mathematica, the complex, cumbersome, time-consuming manual calculation can be removed from, and student�s capacity using computer to solve fluid flow problems will improve greatly.
Key words: chemical engineering thermodynamics; Mathematica; mathematical software; chemical engineering; fluid flow
发表期数: 2010年9月第17期
引用格式: 张雅琪,杜迎春,杜春晖. 数学软件Mathematica在流体流动计算中的应用[J]. 中国科技论文在线精品论文,2010,3(17):1820-1826.
 
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