Temperature Dependence of Surface Tension
The variation of the surface tension σ (SI unit: N/m) with temperature at fluid interfaces must be taken into account for the computation of phenomena such as Marangoni effect. These temperature dependencies are available in the form of a coefficient library for a set of liquid-gas interfaces.
For a liquid water-air interface, the following quadratic relation is used:
where T (SI unit: K) is the temperature.
In other cases, a linear relation is used instead:
where T0 is a reference temperature taken at 0 °C (273.15 K) and the coefficients A (SI unit: N/(m·K)) and B (SI unit: N/m) are given in the following table for some liquid-gas interfaces:
1.120 ⋅ 10-4
2.626 ⋅ 10-2
0.994 ⋅ 10-4
2.958 ⋅ 10-2
0.832 ⋅ 10-4
2.405 ⋅ 10-2
1.189 ⋅ 10-4
3.09 ⋅ 10-2
0.908 ⋅ 10-4
1.892 ⋅ 10-2
0.885 ⋅ 10-4
6.517 ⋅ 10-2
0.980 ⋅ 10-4
2.21 ⋅ 10-2
2.049 ⋅ 10-4
49.06 ⋅ 10-2
0.890 ⋅ 10-4
5.021 ⋅ 10-2
More data can be found in Ref. 39 and Ref. 40.