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2 - Forces in a Static Fluid

Published online by Cambridge University Press:  16 March 2023

Hongwei Wang
Affiliation:
Beihang University, Beijing
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Summary

This chapter introduces the mechanical property of a fluid when it is at rest. In the absence of shear force, fluid is balanced between pressure force and body force. A universal differential equation is derived to describe the pressure distribution in a static fluid. This equation, can be called hydrostatic equilibrium equation, is the key to solve any fluid static problems. Two typical situations are then discussed as applications of the hydrostatic equilibrium equation, one is static fluid under the action of gravity, the other is fluid under the action of inertial forces. Differences and similarities of fluids and solids in the transfer of force are discussed in the end. Atmospheric pressure at different heights is calculated in the “Expanded Knowledge” section.

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Publisher: Cambridge University Press
Print publication year: 2023

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  • Forces in a Static Fluid
  • Hongwei Wang, Beihang University, Beijing
  • Book: A Guide to Fluid Mechanics
  • Online publication: 16 March 2023
  • Chapter DOI: https://doi.org/10.1017/9781108671149.003
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  • Forces in a Static Fluid
  • Hongwei Wang, Beihang University, Beijing
  • Book: A Guide to Fluid Mechanics
  • Online publication: 16 March 2023
  • Chapter DOI: https://doi.org/10.1017/9781108671149.003
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Forces in a Static Fluid
  • Hongwei Wang, Beihang University, Beijing
  • Book: A Guide to Fluid Mechanics
  • Online publication: 16 March 2023
  • Chapter DOI: https://doi.org/10.1017/9781108671149.003
Available formats
×