Tait equation

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

\beta_0^{(P)} = \frac{-1}{V_0^{(P)}} \left ( \frac{\partial V}{\partial P} \right )_T = \frac{0.4343 C}{V_0^{(P)}(B+P)}

or in the integrated form

V_0^{(P)} = V_0^{(1)} - C \log_{10} \frac{B+P}{B+P^{(1)}}

where

$\beta_0^{(P)}$ is the compressibility of the substance (often, water) (in units of bar⁻¹)
$V_0 \$ is the specific volume of the substance (in units of ml/g)
$B \$ and $C \$ are functions of temperature that are independent of pressure^[1]

References

↑ 1.0 1.1 Li, Yuan-Hui (15 May 1967). "Equation of State of Water and Sea Water". Journal of Geophysical Research (Palisades, New York) 72 (10): 2665. Bibcode:1967JGR....72.2665L. doi:10.1029/JZ072i010p02665.