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authorPrefetch2021-05-05 20:18:57 +0200
committerPrefetch2021-05-05 20:18:57 +0200
commit93c8b6e86aeafb2f1b7f6b4d39049276ebbcc91c (patch)
tree5265075e00cabcddfc9f1ce7df26b9272674ca5d /content/know/concept/euler-equations/index.pdc
parente394d6c45bcc1e5650bcbeff5a3246316f6842f0 (diff)
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Diffstat (limited to 'content/know/concept/euler-equations/index.pdc')
-rw-r--r--content/know/concept/euler-equations/index.pdc9
1 files changed, 5 insertions, 4 deletions
diff --git a/content/know/concept/euler-equations/index.pdc b/content/know/concept/euler-equations/index.pdc
index cedfd93..0088d4f 100644
--- a/content/know/concept/euler-equations/index.pdc
+++ b/content/know/concept/euler-equations/index.pdc
@@ -21,7 +21,7 @@ There exist several forms, depending on
the surrounding assumptions about the fluid.
-## Incompressible fluid, uniform density
+## Incompressible fluid
In a fluid moving according to the velocity vield $\va{v}(\va{r}, t)$,
the acceleration felt by a particle is given by
@@ -123,9 +123,6 @@ $$\begin{aligned}
}
\end{aligned}$$
-
-## Incompressible fluid, variable density
-
The above form is straightforward to generalize to incompressible fluids
with non-uniform spatial densities $\rho(\va{r}, t)$.
In other words, these fluids are "lumpy" (variable density),
@@ -179,6 +176,10 @@ $$\begin{aligned}
}
\end{aligned}$$
+Usually, however, when discussing incompressible fluids,
+$\rho$ is assumed to be spatially uniform,
+in which case the latter equation is trivially satisfied.
+
## References