Extending the persistent primary variable algorithm to simulate non-isothermal two-phase two-component flow with phase change phenomena

Geothermal Energy

Science – Society – Technology

Table 3 Parameters applied in the heat pipe problem

Parameters name	Symbol	Value	Unit
Permeability	K	10⁻¹²	[m ²]
Porosity	Φ	0.4	[-]
Residual liquid phase saturation	S _lr	0.4	[-]
Heat conductivity of fully saturated porous medium	\(\lambda _{\textit {pm}}^{S_{w}=1}\)	1.13	[W m ⁻¹ K ⁻¹]
Heat conductivity of dry porous medium	\(\lambda _{\textit {pm}}^{S_{w}=0}\)	0.582	[W m ⁻¹ K ⁻¹]
Heat capacity of the soil grains	c _s	700	[ J kg ⁻¹ K ⁻¹]
Density of the soil grain	ρ _s	2600	[ kg m ⁻³]
Density of the water	ρ _w	1000	[ kg m ⁻³]
Density of the air	ρ	0.08	[ kg m ⁻³]
Dynamic viscosity of water	μ _w	2.938×10⁻⁴	[ Pa·s]
Dynamic viscosity of air	\({\mu _{g}^{a}}\)	2.08×10⁻⁵	[ Pa·s]
Dynamic viscosity of steam	\({\mu _{g}^{w}}\)	1.20×10⁻⁵	[ Pa·s]
Diffusion coefficient of air	\({D_{g}^{a}}\)	2.6×10⁻⁵	[ m ² s ⁻¹]
van Genuchten parameter	P _r	1×10⁴	[ Pa]
van Genuchten parameter	n	5	[-]