diff options
Diffstat (limited to 'content/know/concept/euler-equations')
| -rw-r--r-- | content/know/concept/euler-equations/index.pdc | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/content/know/concept/euler-equations/index.pdc b/content/know/concept/euler-equations/index.pdc index 37d2fea..cedfd93 100644 --- a/content/know/concept/euler-equations/index.pdc +++ b/content/know/concept/euler-equations/index.pdc @@ -149,7 +149,7 @@ to which we apply a vector identity: $$\begin{aligned} 0 = \dv{\rho}{t} + \nabla \cdot (\rho \va{v}) - = \dv{\rho}{t} + \va{v} \cdot \nabla \rho + \rho (\nabla \cdot \va{v}) + = \dv{\rho}{t} + (\va{v} \cdot \nabla) \rho + \rho (\nabla \cdot \va{v}) \end{aligned}$$ Thanks to incompressibility, the last term disappears, @@ -159,7 +159,7 @@ $$\begin{aligned} \boxed{ 0 = \frac{\mathrm{D} \rho}{\mathrm{D} t} - = \dv{\rho}{t} + \va{v} \cdot \nabla \rho + = \dv{\rho}{t} + (\va{v} \cdot \nabla) \rho } \end{aligned}$$ |