The sum of static pressure and dynamic pressure is said to be constant along a streamline. Except for energy conservation reasons I don't understand why that is.
Static pressure is proportional to the cross sectional area. Dynamic pressure is inversely proportional to the square of the cross sectional area (since speed is inversely proportional to the cross sectional area and dynamic pressure is proportional to the square of the speed).
When the cross sectional area decreases by half, the static pressure decreases by half, the speed doubles and the dynamic pressure increases four times.
What did I miss?