| 基于MATHEMATICA的因次分析程序 |
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| 引用本文： | 王洪泰 李占勇 庞金钊 高蕾 刘寅利. 基于MATHEMATICA的因次分析程序[J]. 计算机与应用化学, 2007, 24(7): 912-914 |
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| 作者姓名： | 王洪泰 李占勇 庞金钊 高蕾 刘寅利 |
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| 作者单位： | [1]天津科技大学材料科学与化学工程学院,天津300457 [2]天津科技大学机械工程学院,天津300457 [3]天津中钞纸业有限公司,天津300385 [4]天津科技大学理学院,天津300457 |
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| 摘 要： | 因次分析是一种重要的数学建模方法,广泛应用于化工原理中与湍流有关的物理现象的无因次数群关联式的建立。经典化工原理在因次分析过程中采用手算法进行符号运算,非常烦琐；本文基于MATHEMATICA软件强大的符号运算功能,给出了一个因次分析程序,用来进行因次分析中的这些烦琐而重复的计算。本文还给出了该程序的若干应用实例。
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| 关 键 词： | 因次分析 MATHEMATICA 化工原理 化学工程 |
| 文章编号： | 1001-4160（2007）07-912-914 |
| 修稿时间： | 2006-10-212007-05-09 |
A MATHEMATICA-based program for dimensional analysis |
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| Wang Hongtai, Li Zhanyong, Pang Jinzhao, Gao Lei,Liu Yinli. A MATHEMATICA-based program for dimensional analysis[J]. Computers and Applied Chemistry, 2007, 24(7): 912-914 |
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| Authors: | Wang Hongtai Li Zhanyong Pang Jinzhao Gao Lei Liu Yinli |
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| Affiliation: | 1. School of Material Science and Chemical Engineering,Tianjin University of Science and Technology, Tianjin, 300457, China; 2. School of Mechanical Engineering, Tianjin University of Science and Technology, Tianjin, 300457, China; 3. Tianjin Zhongchao Paper Industry Co. Ltd, Tianjin, 300385, China; 4, School of Sciences, Tianjin University of Science and Technology, Tianjin, 300457, China |
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| Abstract: | As an important modeling method, dimensional analysis is widely used in the derivation of correlations for turbulence-related phenomena in chemical engineering unit operations. The manual calculation used in classical texts is very cumbersome. A MATHEMATICA-based dimensional analysis program is introduced in this article. Some examples are given on how to use the program. |
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| Keywords: | dimensional analysis MATHEMATICA unit operations chemical engineering |
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