Sound speed in pure water. Lubbers C1 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 | $^{\circ}\text{C}$ | $10 < T < 40$ |
| Coefficient | Value |
|---|---|
| $k_{0}$ | $+1405.03$ |
| $k_{1}$ | $+4.624$ |
| $k_{2}$ | $-3.83 \times 10^{-2}$ |
Octave/Matlab implementation
function C = sound_speed_water_lubbers_c1(T)
% Inputs
% T: temperature \ degree Celsius \ 10 < T < 40
% Outputs
% C: speed of sound in pure water \ m/s
C = 1405.03 + 4.624*T - (3.83e-2)*(T.^2);
end
Computational examples
References
- Lubbers, J; Graaff, R, "A simple and accurate formula for the sound velocity in water", 1998