Tait equation

In fluid mechanics, the Tait equation is an equation of state, used to relate liquid density to hydrostatic pressure. The equation was originally published by Peter Guthrie Tait in 1888 in the form^[1]

{\frac {V_{0}-V}{PV_{0}}}={\frac {A}{\Pi +P}}

where $P$ is the hydrostatic pressure in addition to the atmospheric one, $V_{0}$ is the volume at atmospheric pressure, $V$ is the volume under additional pressure $P$ , and $A,\Pi$ are experimentally determined parameters. A very detailed historical study on the Tait equation with the physical interpretation of the two parameters $A$ and $\Pi$ is given in reference.^[2]

^ Tait, P. G. (1888). "Report on some of the physical properties of fresh water and of sea water". Physics and Chemistry of the Voyage of H.M.S. Challenger. Vol. II, part IV.
^ Aitken, Frederic; Foulc, Jean-Numa (2019). From Deep Sea to Laboratory 3:From Tait's Work on the Compressibility of Seawater to Equations-of-State for Liquids. London, UK: ISTE - WILEY. ISBN 9781786303769.

[1] Tait, P. G. (1888). "Report on some of the physical properties of fresh water and of sea water". Physics and Chemistry of the Voyage of H.M.S. Challenger. Vol. II, part IV.

[ISTE_-_WILEY-2] Aitken, Frederic; Foulc, Jean-Numa (2019). From Deep Sea to Laboratory 3:From Tait's Work on the Compressibility of Seawater to Equations-of-State for Liquids. London, UK: ISTE - WILEY. ISBN 9781786303769.

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