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version 3.9-dev
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version 3.9-dev
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Effective thermal conductivity after Somerton. More...
#include <dumux/material/fluidmatrixinteractions/2p/thermalconductivity/somerton.hh>
The Somerton method [73] computes the thermal conductivity of dry and the wet soil material. It uses a root function of the water 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 effective thermal conductivity of ThermalConductivitySomertonTwoP is given by
\[ \lambda_\text{eff} = \lambda_\text{g,eff} + \sqrt{S_\text{w}} \left(\lambda_\text{w,eff} - \lambda_\text{g,eff}\right) \]
with \( S_\text{w} \) the water saturation, \( S_\text{n} \) the NAPL saturation, the effective phase saturations given by \( \lambda_{\alpha,\text{eff}} = (\lambda_\text{s})^{\left(1-\phi\right)} (\lambda_\alpha)^\phi, \alpha \in \lbrace\text{w,n,g}\rbrace \) (geometric mean) and \( \lambda_\text{s} \) is the thermal conductivity of the solid phase. The effective conductivity \( \lambda_\text{g,eff} \) corresponds to dry conditions, whereas the effective conductivity \( \lambda_\text{g,eff} \) corresponds to wet conditions.
Static Public Member Functions | |
| template<class VolumeVariables > | |
| static Scalar | effectiveThermalConductivity (const VolumeVariables &volVars) |
| Effective thermal conductivity in \(\mathrm{W/(m K)}\) for two phases. More... | |
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inlinestatic |
| volVars | volume variables |
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