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 >

Relation for the saturation-dependent effective thermal conductivity.

The Johansen method (Johansen 1975 [34] ) computes the thermal conductivity of dry and the wet soil material and uses a root function of the wetting saturation to compute the effective thermal conductivity for a two-phase fluidsystem. The individual thermal conductivities are calculated as geometric mean of the thermal conductivity of the porous material and of the respective fluid phase. The material law is: \(\mathrm{[ \lambda_\text{eff} = \lambda_{\text{dry}} + \sqrt{(S_w)} \left(\lambda_\text{wet} - \lambda_\text{dry}\right) }\)

with \(\mathrm{ \lambda_\text{wet} = \lambda_{solid}^{\left(1-\phi\right)}*\lambda_w^\phi }\) and the semi-empirical relation

\(\mathrm{ \lambda_\text{dry} = \frac{0.135*\rho_s*\phi + 64.7}{\rho_s - 0.947 \rho_s*\phi}. }\)

Source: Phdthesis (Johansen1975) Johansen, O. Thermal conductivity of soils Norw. Univ. of Sci. Technol., Trondheim, Norway, 1975 [34]

Static Public Member Functions
template<class VolumeVariables >
static Scalar	effectiveThermalConductivity (const VolumeVariables &volVars)
	Returns the effective thermal conductivity \(\mathrm{[W/(m K)]}\) after Johansen (1975) [34] . More...

Member Function Documentation

effectiveThermalConductivity()

template<class Scalar >

template<class VolumeVariables >

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

inlinestatic

Returns the effective thermal conductivity \(\mathrm{[W/(m K)]}\) after Johansen (1975) [34] .

Parameters

volVars

volume variables

Returns

Effective thermal conductivity \(\mathrm{[W/(m K)]}\) after Johansen (1975) [34]

This formulation is semi-empirical and fitted to quartz sand. This gives an interpolation of the effective thermal conductivities of a porous medium filled with the nonwetting phase and a porous medium filled with the wetting phase. These two effective conductivities are computed as geometric mean of the solid and the fluid conductivities and interpolated with the Kersten number.
Johansen, O. 1975. Thermal conductivity of soils. Ph.D. diss. Norwegian Univ. of Sci. and Technol., Trondheim. (Draft Transl. 637. 1977. U.S. Army Corps of Eng., Cold Regions Res. and Eng. Lab., Hanover, NH.) [34]

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

• johansen.hh