diff options
Diffstat (limited to 'content/know/concept/hydrostatic-pressure/index.pdc')
| -rw-r--r-- | content/know/concept/hydrostatic-pressure/index.pdc | 12 |
1 files changed, 6 insertions, 6 deletions
diff --git a/content/know/concept/hydrostatic-pressure/index.pdc b/content/know/concept/hydrostatic-pressure/index.pdc index 90e57ce..001a198 100644 --- a/content/know/concept/hydrostatic-pressure/index.pdc +++ b/content/know/concept/hydrostatic-pressure/index.pdc @@ -141,8 +141,10 @@ $$\begin{aligned} With this, the equilibrium condition is turned into the following equation: $$\begin{aligned} - \nabla \Phi + \frac{\nabla p}{\rho} - = 0 + \boxed{ + \nabla \Phi + \frac{\nabla p}{\rho} + = 0 + } \end{aligned}$$ In practice, the density $\rho$ of the fluid @@ -156,7 +158,7 @@ the indefinite integral of the density: $$\begin{aligned} w(p) - = \int \frac{1}{\rho(p)} \dd{p} + \equiv \int \frac{1}{\rho(p)} \dd{p} \end{aligned}$$ Using this, we can rewrite the equilibrium condition as a single gradient like so: @@ -172,9 +174,7 @@ From this, let us now define the **effective gravitational potential** $\Phi^*$ as follows: $$\begin{aligned} - \boxed{ - \Phi^* = \Phi + w(p) - } + \Phi^* \equiv \Phi + w(p) \end{aligned}$$ This results in the cleanest form yet of the equilibrium condition, namely: |