Dumux::ThermalConductivityJohansen< Scalar > Class Template Reference

Relation for the saturation-dependent effective thermal conductivity. More...

#include <dumux/material/fluidmatrixinteractions/2p/thermalconductivity/johansen.hh>

Description

template<class Scalar>
class Dumux::ThermalConductivityJohansen< Scalar >

Johansen (two fluid phases)

ThermalConductivityJohansen [47] computes the thermal conductivity of dry and the wet soil material and interpolates using the Kersten number. The effective wet conductivity is based on a geometric average and the effective dry conductivity is based on a semi-emprical relation and fitted to medium quartz sand.

The effective thermal conductivity is given by

$${\lambda }_{\text{eff}}={\lambda }_{\text{dry}}+\text{Ke}({\lambda }_{\text{wet}}-{\lambda }_{\text{dry}}),{\lambda }_{\text{wet}}={\lambda }_{\text{s}}^{(1-\varphi )}{\lambda }_{\text{w}}^{\varphi },{\lambda }_{\text{dry}}=\frac{0.135{\rho }_{\text{s}}\varphi +64.7}{{\rho }_{\text{s}}-0.947{\rho }_{\text{s}}\varphi },$$

where $\varphi$ is the porosity, ${\lambda }_{\alpha }$ is the thermal conductivity of phase $\alpha$, ${\rho }_{\text{s}}$ denotes the density of the solid phase, and the Kersten number is given by $\text{Ke}=(\kappa S_{\text{w}})/(1+(1-\kappa )S_{\text{w}})$, with the wetting phase saturation $S_w$ and a fitting parameter $\kappa =15.6$ for medium quartz sand.

Static Public Member Functions
template<class VolumeVariables >
static Scalar	effectiveThermalConductivity (const VolumeVariables &volVars)
	Effective thermal conductivity in $\mathrm{W}/(\mathrm{m}\mathrm{K})$ for two phases. More...

Member Function Documentation

effectiveThermalConductivity()

template<class Scalar >

template<class VolumeVariables >

static Scalar Dumux::ThermalConductivityJohansen< Scalar >::effectiveThermalConductivity ( const VolumeVariables &  volVars )

inlinestatic

Parameters

volVars

volume variables

Returns

Effective thermal conductivity in $\mathrm{W}/(\mathrm{m}\mathrm{K})$ for two phases

---

The documentation for this class was generated from the following file:

• johansen.hh