Sound speed in pure water. Lubbers B1 equation
Mathematical definition
$$\boxed{C\left( T \right) = {k_0} + {k_1}T + {k_2}{T^2}}$$
| Notation | Description | Units | Limits |
|---|---|---|---|
| $C$ | sound speed | $\text{m/s}$ | |
| $T$ | temperature | $^{\circ}\text{C}$ | $15 < T < 35$ |
| Coefficient | Value |
|---|---|
| $k_{0}$ | $+1404.3$ |
| $k_{1}$ | $+4.7$ |
| $k_{2}$ | $-0.04$ |
Octave/Matlab implementation
function C = sound_speed_water_lubbers_b1(T)
% Inputs
% T: temperature \ degree Celsius \ 15 < T < 35
% Outputs
% C: speed of sound in pure water \ m/s
C = 1404.3 + 4.7*T - 0.04*(T.^2);
end
Computational examples
References
- Lubbers, J; Graaff, R, "A simple and accurate formula for the sound velocity in water", 1998