General relationships between pressure, weight, and mass of a hydrostatic fluid

Ambaum, M. H. P. ORCID: https://orcid.org/0000-0002-6824-8083 (2008) General relationships between pressure, weight, and mass of a hydrostatic fluid. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 464 (2092). pp. 943-950. ISSN 1364-5021 doi: 10.1098/rspa.2007.0148

Abstract/Summary

In curved geometries the hydrostatic pressure in a fluid does not equal the weight per unit area of the fluid above it. General weight–pressure and mass–pressure relationships for hydrostatic fluids in any geometry are derived. As an example of the mass–pressure relationship, we find a geometric reduction in surface pressure as large as 5 mbar on Earth and 39 mbar on Titan. We also present a thermodynamic interpretation of the geometric correction which, as a corollary, provides an independent proof of the hydrostatic relationship for general geometries.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/979
Item Type	Article
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
Uncontrolled Keywords	hydrostatic pressure; fluid dynamics; atmospheric science
Publisher	Royal Society Publishing
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