A latent heat model of vaporisation of water considering the critical temperature.

The model uses an equation for a general expression of the latent heat of vaporisation of water in the vicinity of and far away from the critical temperature, which was presented by Torquato and Stell in [40].

Denoting the critical temperature as $T_c$ , and introducing a dimensionless variable $\tau=(T_c-T)/T_c$ associated with temperature $T$ , the equation is given by

$L(\tau) = a_1 \tau^{\beta}+a_2 \tau^{\beta+\Delta} +a_4 \tau^{1-\alpha+\beta} +\sum_{n=1}^{M}(b_n \tau^n),\,\text{[kJ/kg]},$

where the parameters of $b_n$ are obtained by the least square method by fitting the equation with the experiment data.

In this model, the parameter set of $M=5$ is taken for a high accuracy. All parameters are given below:

$\alpha=1/8,\,\beta=1/3,\, \Delta=0.79-\beta$ ,
$a_1=1989.41582,\, a_2=11178.45586, a_4=26923.68994$ ,
$b_n:=\{-28989.28947, -19797.03646, 28403.32283, -30382.306422, 15210.380\}$ .

The critical temperature is 373.92 $^{\circ}$ C.

A comparison of this model with the model of MaterialPropertyLib::LinearWaterVapourLatentHeat is given in the following figure.

Child parameters, attributes and cases

Additional info

Used in the following test data files