From 25c214cc0d72403c96855980f931fa5decaaa77d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?V=C3=ADctor?= Date: Tue, 7 Nov 2023 22:22:44 +0100 Subject: [PATCH] updated typo fluid dynamics --- Physics/Advanced/Fluid_mechanics/Fluid_mechanics.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) 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: $$