2
Start with the original equation. Let's first write the Hydrostatic equation:
$$\frac{\partial p}{\partial z}=-\rho g$$
So let's prove that $$-g=c_p\theta\frac{\partial \pi}{\partial z}$$
If we use the product rule, we observe $$-g=c_p(\frac{\partial \theta \pi}{\partial z}-\pi\frac{\partial \theta}{\partial z})$$
Since $\pi=\frac{T}{\theta}$, we can ...
2
High pressures and low pressures at any height do not exist in isolation. Had to remind myself a lot of this (so anyone feel free to correct), but the first thing worth highlighting is that the Bermuda High is a warm core high pressure and so extends a great depth through the atmosphere.
This image is a fairly typical cross section of the atmosphere at 35 ...
1
After looking back into this I found my error to lie in the long equation
$\dfrac{\partial \pi}{\partial z}=\left(\frac{1}{p_0}\right)^{\frac{R}{c_p}}\dfrac{\partial}{\partial z}\exp\left(\frac{R}{c_p}\log(p)\right)=\left(\frac{1}{p_0}\right)^{\frac{R}{c_p}}* \frac{T}{\theta}*{\frac{R}{c_p}}*\frac{1}{p}*\dfrac{\partial p}{\partial z}$.
I was wrong, ...
1
The storm and basics:
Here is an animation I got from this NOAA Tweet of the lightning in Harvey hours before landfall:
https://mashable.com/2017/08/31/harvey-weather-satellite-maps-lightning/, where I found the imagery, offers some basic thoughts, including the key concept that:
As with most hurricanes, you'll notice that the most active area of lightning ...
Only top voted, non community-wiki answers of a minimum length are eligible
