A single-phase, non-isothermal free-flow model. More...
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A single-phase, non-isothermal free-flow model.
In addition to the momentum and mass/mole balance equations, this model also solves the energy balance equation :
\[ \frac{\partial (\varrho v)}{\partial t} + \nabla \cdot \left( \varrho h {\boldsymbol{v}} - \lambda_\text{eff} \textbf{grad}\, T \right) - q_T = 0 \]
For laminar Navier-Stokes flow the effective thermal conductivity is the fluid thermal conductivity: \( \lambda_\text{eff} = \lambda \).
For turbulent Reynolds-averaged Navier-Stokes flow the eddy thermal conductivity is added: \( \lambda_\text{eff} = \lambda + \lambda_\text{t} \). The eddy thermal conductivity \( \lambda_\text{t} \) is related to the eddy viscosity \( \nu_\text{t} \) by the turbulent Prandtl number:
\[ \lambda_\text{t} = \frac{\nu_\text{t} \varrho c_\text{p}}{\mathrm{Pr}_\text{t}} \]
Classes | |
struct | Dumux::NavierStokesEnergyModelTraits< IsothermalT > |
Specifies a number properties of non-isothermal free-flow flow models based on the specifics of a given isothermal model. More... | |
Namespaces | |
namespace | Dumux |