摘要
利用量纲分析法可以先列出与所研究物理过程有关的物理量的参数,再根据量纲齐次原则来探究各物理量之间的关系。该方法使得某些物理规律有特定的数学表达式,而不依赖于单位制的选取。在研究一些复杂的物理问题时,量纲分析法可以减少其中未知量的个数,并帮助人们对未知问题及规律进行一系列的初步判断,尤其对物理问题的建模具有重要的实践指导意义。以某玩具飞机的空气动力学模型的建模过程为例,利用量纲基本理论将其状态参量与物理模型有机结合,为原型的设计提供了科学数据。另外对量纲分析法在验证物理计算结果中的应用作出了详尽阐述。
Dimensional analysis can first list the parameters of physical quantities related to the physical processes studied, and then explore the relationship between physical quantities according to the principle of dimensional homogeneity. This method makes certain physical laws generate specific mathematical expressions and does not depend on the selection of unit system. Dimensional analysis can reduce the number of unknown variables and help people to make a series of preliminary judgments on unknown problems and laws when studying some complex physical problems, especially for the modeling of physical problems, which has important practical guiding significance. Taking the aerodynamic model of a toy aircraft as an example, this paper combines its state parameters with its physical model by using the basic dimension theory, which provides scientific data for the prototype design. In addition, the application of dimensional analysis in verifying the results of physical calculation is elaborated in detail.
作者
刘宝平
LIU Baoping(Shuozhou Vocational and Technical College,Shuozhou 036000,China)
出处
《太原学院学报（自然科学版）》
2019年第1期31-35,共5页
Journal of TaiYuan University:Natural Science Edition
基金
大同市基础研究项目(2014105-4)
关键词
量纲分析
量纲齐次性
物理建模
计算分析
dimensional analysis
dimensional homogeneity
physical modeling
calculation analysis
