Loading docs/source/FluidEquations.rst +0 −3 Original line number Diff line number Diff line Loading @@ -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 Loading
docs/source/FluidEquations.rst +0 −3 Original line number Diff line number Diff line Loading @@ -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