diff options
Diffstat (limited to 'content/know/concept/euler-equations')
| -rw-r--r-- | content/know/concept/euler-equations/index.pdc | 9 |
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 |