NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ1103904
Record Type: Journal
Publication Date: 2016-Jul
Pages: 6
Abstractor: As Provided
ISSN: ISSN-0031-9120
Classic Bernoulli's Principle Derivation and Its Working Hypotheses
Marciotto, Edson R.
Physics Education, v51 n4 Article 045005 Jul 2016
The Bernoulli's principle states that the quantity p+ pgz + pv[superscript 2]/2 must be conserved in a streamtube if some conditions are matched, namely: steady and irrotational flow of an inviscid and incompressible fluid. In most physics textbooks this result is demonstrated invoking the energy conservation of a fluid material volume at two different positions of a pipe whose cross-section and height vary along its way. Although the final result is correct the right justifications presented in textbooks are usually unclear or absent. The main problem rests on the work done by pressure, which are not found to be fully justified via free-body diagrams as depicted in many general physics textbooks, not to mention plenty of videos on YouTube that incur in similar omissions. In this article I will discuss this issue and how it is solved without resorting to alternative demonstrations. In addition, I discuss the needs of the assumptions to get the Bernoulli's principle in a way viable to introductory physics courses.
Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A