diff --git a/Physics/Advanced/Fluid_mechanics/Fluid_mechanics.tex b/Physics/Advanced/Fluid_mechanics/Fluid_mechanics.tex index 73d6e78..2fc451d 100644 --- a/Physics/Advanced/Fluid_mechanics/Fluid_mechanics.tex +++ b/Physics/Advanced/Fluid_mechanics/Fluid_mechanics.tex @@ -161,7 +161,7 @@ \begin{proof} Note that: $$ - \dv{}{t}\int_{W_t}\dd{V}=\dv{}{t}\int_WJ\dd{V}=\int_{W_t}\div\vf{u}\dd{V} + \dv{}{t}\int_{W_t}\dd{V}=\dv{}{t}\int_WJ\dd{V}=\int_{W_t}J\div\vf{u}\dd{V} $$ Hence, if $\div \vf{u}=0$ then the flow is incompressible. Now, if the flow is incompressible we have that: $$