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authorPrefetch2021-10-20 11:50:20 +0200
committerPrefetch2021-10-20 11:50:20 +0200
commit3170fc4b5c915669cf209a521e551115a9bd0809 (patch)
tree4cb70f6715be60b383fd2a23662d9795f56fef62 /content/know/concept/euler-equations
parent2a5024543ed99f569fbade8744e6c8001f2edb02 (diff)
Expand knowledge base
Diffstat (limited to 'content/know/concept/euler-equations')
-rw-r--r--content/know/concept/euler-equations/index.pdc6
1 files changed, 3 insertions, 3 deletions
diff --git a/content/know/concept/euler-equations/index.pdc b/content/know/concept/euler-equations/index.pdc
index 0088d4f..b531260 100644
--- a/content/know/concept/euler-equations/index.pdc
+++ b/content/know/concept/euler-equations/index.pdc
@@ -57,7 +57,7 @@ Next, we want to find another expression for $\va{f^*}$.
We know that the overall force $\va{F}$ on an arbitrary volume $V$ of the fluid
is the sum of the gravity body force $\va{F}_g$,
and the pressure contact force $\va{F}_p$ on the enclosing surface $S$.
-Using Gauss' theorem, we then find:
+Using the divergence theorem, we then find:
$$\begin{aligned}
\va{F}
@@ -91,7 +91,7 @@ $$\begin{aligned}
The last ingredient is **incompressibility**:
the same volume must simultaneously
be flowing in and out of an arbitrary enclosure $S$.
-Then, by Gauss' theorem:
+Then, by the divergence theorem:
$$\begin{aligned}
0
@@ -131,7 +131,7 @@ but the size of their lumps does not change (incompressibility).
To update the equations, we demand conservation of mass:
the mass evolution of a volume $V$
is equal to the mass flow through its boundary $S$.
-Applying Gauss' theorem again:
+Applying the divergence theorem again:
$$\begin{aligned}
0