大学物理 ›› 2020, Vol. 39 ›› Issue (01): 18-22.doi: 10.16854 / j.cnki.1000-0712. 190205

• 教学讨论 • 上一篇    下一篇

量纲分析在大学物理热力学部分中的教学应用

蓝善权,陈建明   

  1. 岭南师范学院物理科学与技术学院,广东湛江 524048
  • 收稿日期:2019-05-08 修回日期:2019-06-20 出版日期:2020-01-20 发布日期:2020-03-01
  • 作者简介:蓝善权(1988—),男,江西赣州人,岭南师范学院讲师,博士,主要从事大学物理教学和全息引力、黑洞物理、热力学统计物理等方向的研究工作.
  • 基金资助:
    国家自然科学基金(11847001)资助;广东省教育厅青年创新人才项目(2017KQNCX124)资助

Teaching application of dimensional analysis in the thermodynamics part of college physics

LAN Shan-quan,CHEN Jian-ming   

  1. College of Physical Science and Technology,Lingnan Normal University,Zhanjiang,Guangdong 524048,China
  • Received:2019-05-08 Revised:2019-06-20 Online:2020-01-20 Published:2020-03-01

摘要: 本文首先简单介绍了量纲分析中的齐次定理和Π定理,然后具体例举了量纲分析在大学物理热力学部分的教学应用. 我们的求解过程是:分析例举可能相关的物理量;写出各个物理量的量纲表;分析量纲表,确定相关的物理量和独立量纲;设定无量纲量等式;列出量纲指数方程组并求解.

关键词: 量纲分析, 齐次定理, Π定理, 大学物理, 热力学

Abstract:

This paper briefly introduces the homogeneous theorem and the Π theorem in dimensional analysis,

and then specifically cites the teaching application of dimensional analysis in the thermodynamics part of college

physics. Our solution process is:analyzing and listing the possible physical quantities;writing a dimension table of

all physical quantities;analyzing the dimension table,determining the relevant physical quantities and independent

dimension;setting the dimensionless quantity equation;listing and solving the dimension index equations.

Key words: dimensional analysis, the homogeneous theorem, Π theorem, college physics, thermodynamics