YI Wenbin, MENG Qingchang, DENG Hui, WANG Chong, ZHANG Zhihong, GU Jiannong. SEVERAL ISSUES IN BERNOULLI EQUATION'S INSTRUCTIONAL DESIGN$^{1)}$[J]. MECHANICS IN ENGINEERING, 2021, 43(6): 967-972. DOI: 10.6052/1000-0879-20-516
Citation: YI Wenbin, MENG Qingchang, DENG Hui, WANG Chong, ZHANG Zhihong, GU Jiannong. SEVERAL ISSUES IN BERNOULLI EQUATION'S INSTRUCTIONAL DESIGN$^{1)}$[J]. MECHANICS IN ENGINEERING, 2021, 43(6): 967-972. DOI: 10.6052/1000-0879-20-516

SEVERAL ISSUES IN BERNOULLI EQUATION'S INSTRUCTIONAL DESIGN^1)

  • In view of Bernoulli equation's instructional design in fluid mechanics, this paper analyzes some common misunderstandings in demonstration experiments of Bernoulli equation, provides different derivation methods of Bernoulli equation, discusses the physical meaning of the pressure term, and further expands this lesson, so as to deepen the students' understanding and establish scientific analysis method. The derivation of Bernoulli equation is the basis. When using Bernoulli equation to explain the demonstration experiment, we must pay attention to the applicable conditions of Bernoulli equation, and comprehensively consider the influence of fluid viscosity, entrainment and other factors. Most textbooks in Chinese or English give different physical interpretations of the pressure term in Bernoulli equation. Based on the derivation of Bernoulli equation, it can be seen that the pressure term in the equation has the property of potential energy, which is true only for fluid. By establishing the relationship between Bernoulli equation and other knowledge points and comparing compressible and incompressible Bernoulli equation, students can acquire a better understanding of Bernoulli equation.
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