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4.3.8 Convective Heat and Mass Transfer Modeling

In ANSYS FLUENT, turbulent heat transport is modeled using the concept of the Reynolds' analogy to turbulent momentum transfer. The "modeled'' energy equation is as follows:


 \frac{\partial}{\partial t} (\rho E) + \frac{\partial}{\part... ...ial T}{\partial x_j} + u_i (\tau_{ij})_{\rm eff} \right] + S_h (4.3-18)

where $k$, in this case, is the thermal conductivity, $E$ is the total energy, and $(\tau_{ij})_{\rm eff}$ is the deviatoric stress tensor, defined as


(\tau_{ij})_{\rm eff} = \mu_{\rm eff} \left(\frac{\partial u_... ...3} \mu_{\rm eff} \frac{\partial u_k}{\partial x_k} \delta_{ij}


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