Temperature Dependence of the Thermal Diffusion Length in Water

Abstract

where p is the water density and T the temperature in °C. This expression agrees very well with the results of Wilson, Bragdon, and Kanner, as well as with the results of Antonov et al. (4) who made measurements at 23°C and 80°C. Using the above expression for the diffusion length and approximating it by a linear temperature dependence in the 10-30°C and 30-90°C temperature intervals, the temperature coefficient in the range 30-90°C is 0.0059 cm/°C, while in the range 10~30°C the value is 0.0049 cm/°C. This latter value is in somewhat better agreement than the Fermi prescription with the value of 0.003 cm/°C reported by Von Dardel and Sjostrand over a similar temperature range.