From 17c978c607a24e6246e91cb6f037bc04e2edc81a Mon Sep 17 00:00:00 2001 From: Nijso Date: Fri, 19 Sep 2025 12:45:55 +0200 Subject: [PATCH] Update Inc_Combustion.md remove density from source term in description of transport equations --- .../Inc_Combustion/Inc_Combustion.md | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/_tutorials/incompressible_flow/Inc_Combustion/Inc_Combustion.md b/_tutorials/incompressible_flow/Inc_Combustion/Inc_Combustion.md index a49fbbe7..81001ecf 100644 --- a/_tutorials/incompressible_flow/Inc_Combustion/Inc_Combustion.md +++ b/_tutorials/incompressible_flow/Inc_Combustion/Inc_Combustion.md @@ -48,7 +48,7 @@ The `CSpeciesSolver` object in SU2 solves the controlling variables and passive $$ \begin{equation} - \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\mathcal{Y}\right) = \rho\dot{\omega}_\mathcal{Y} + \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\mathcal{Y}\right) = \dot{\omega}_\mathcal{Y} \end{equation} $$ @@ -60,7 +60,7 @@ $$ $$ \begin{equation} - \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \rho\dot{\omega}^+ + \rho\dot{\omega}^- Y_j + \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \dot{\omega}^+ + \dot{\omega}^- Y_j \end{equation} $$ @@ -68,7 +68,7 @@ $$ $$ \begin{equation} - \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\mathcal{Y}\right) = \rho\dot{\omega}_\mathcal{Y} + \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\mathcal{Y}\right) = \dot{\omega}_\mathcal{Y} \end{equation} $$ @@ -80,13 +80,13 @@ $$ $$ \begin{equation} - \frac{\partial \rho Z}{\partial t} + \nabla\cdot(\rho\vec{u}Z) - \nabla\cdot\left(\rho D\nabla Z\right) = \rho\dot{\omega}_\mathcal{Y} + \frac{\partial \rho Z}{\partial t} + \nabla\cdot(\rho\vec{u}Z) - \nabla\cdot\left(\rho D\nabla Z\right) = \dot{\omega}_\mathcal{Y} \end{equation} $$ $$ \begin{equation} - \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \rho\dot{\omega}^+ + \rho\dot{\omega}^- Y_j + \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \dot{\omega}^+ + \dot{\omega}^- Y_j \end{equation} $$ @@ -94,7 +94,7 @@ $$ $$ \begin{equation} - \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\beta_\mathcal{Y}\right) = \rho\dot{\omega}_\mathcal{Y} + \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\beta_\mathcal{Y}\right) = \dot{\omega}_\mathcal{Y} \end{equation} $$ @@ -112,7 +112,7 @@ $$ $$ \begin{equation} - \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \rho\dot{\omega}^+ + \rho\dot{\omega}^- Y_j + \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \dot{\omega}^+ + \dot{\omega}^- Y_j \end{equation} $$ @@ -175,7 +175,7 @@ Pre-mixed combustion of reactants with high hydrogen content at lean conditions $$ \begin{equation} - \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(D\nabla\beta_\mathcal{Y}\right) = \rho\dot{\omega}_\mathcal{Y} + \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(D\nabla\beta_\mathcal{Y}\right) = \dot{\omega}_\mathcal{Y} \end{equation} $$