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Commit cb27256a authored by Ann Almgren's avatar Ann Almgren
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......@@ -6,18 +6,15 @@ Below are the governing equations for the fluid:
Conservation of fluid mass:
.. math:: \frac{\partial (\varepsilon_g \rho_g)}{\partial t} + \nabla \cdot (\varepsilon_g \rho_g U_g) = 0
:label: eqn::mass_cons
Conservation of fluid momentum:
.. math:: \frac{ \partial (\varepsilon_g \rho_g U)}{\partial t} + \nabla \cdot (\varepsilon_g \rho_g U_g U_g) + \varepsilon_g \nabla p_g = \nabla \cdot \tau + {\bf g}
+ \sum_{part} \beta (V_{part} - U_g)
:label: eqn::mom_cons
Conservation of fluid volume:
where :math:`\sum_{part} \beta (V_{part} - U_g)` is the drag term in which :math:`V_{part}` represents the particle velocity.
.. math:: \frac{\partial \varepsilon_g}{\partial t} + \nabla \cdot (\varepsilon_g U_g) = 0
:label: eqn::mass_vareps
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