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]

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

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