Convection-diffusion equation

$\displaystyle \rho C ( \dot{T} + \beta_i \frac{\partial T}{\partial x_i} ) = k_i \frac{\partial^2 T}{\partial {x_i}^2} - a T + f
$

The primary unknown is the condif_temperature $ T$. Further notation: $ \rho $ group_condif_density; $ C$ group_condif_capacity; $ x$ space coordinate; $ \beta_i$ group_condif_flow in $ i$-direction; $ k_i$ group_condif_conductivity in $ i$-direction; $ a$ group_condif_absorption; $ f$ condif_heat_volume. Typical applications are heat conduction and heat conduction in a flow.



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