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Hydrostatics

  • Kolumban HutterEmail author
  • Yongqi Wang
Chapter
  • 1.8k Downloads
Part of the Advances in Geophysical and Environmental Mechanics and Mathematics book series (AGEM)

Abstract

Fluid pressure is introduced based on the formulation of the equilibrium equations (force and moment balances). This gives rise to the introduction of body and surface specific forces and the definition of normal shear tractions on surfaces. Liquids in equilibrium are based on the assumption that shear tractions vanish, which, through the equilibrium conditions, yield a unique definition of the concept of ‘hydrostatic pressure’. This leads, naturally, to the fundamental equation of hydrostatics, which subsequently is applied to various examples of density preserving liquids: among these are communicating vessels, Pascal’s paradoxon, manometers, hydraulic heavers, buoyancy and stability of floating bodies. Two sections extend this to hydrostatics in accelerated reference systems and pressure distribution in a still atmosphere.

Keywords

Equilibrium equations for continuous bodies Pressure Hydrostatic equation Pascal’s paradoxon Buoyancy of floating bodies Archimedes’ principle Hydrostatics in accelerated frames Pressure distribution in still atmosphere 

Reference

  1. 1.
    Fachlexikon: Forscher und Erfinder. 3. Auflage. Harri Deutsch Verlag, Thun-Frankfurt (1992)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Versuchsanstalt für Wasserbau, Hydrologie und GlaziologieETH ZürichZürichSwitzerland
  2. 2.Department of Mechanical EngineeringTechnische Universität DarmstadtDarmstadtGermany

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