canyncarvr wrote:I can't stand it........
This is not correct metaphorically, but does show the point.
Apply 2" of suck to a 1/2" straw (given liquid at a given temperature, air pressure and lift). Get 'a' volume.
Apply 2" of suck to a 1" straw (all the givens the same) and you will get 2 x 'a' volume.
But...apply 1" of suck to that 1" straw..and you won't get as much as you did with the 2"...even though the 'jet' (straw) is bigger.
Ahem . . .
I'm assuming volume implies flow
rate: applying the same vacuum to either straw implies that the velocity through the straw remains the same (Bernoulli's principle). But if you've doubled the size of the straw you've effected the area or
two dimensions of the straw and under these circumstances the volume (flow rate) would quadruple (4x).
But wait . . . pressure differential is related to the
square of the flow. Halving the pressure implies that the flow is reduced by the square root of 0.5, i.e. the flow is reduced by about 30% for a given size straw. So . . .
1" of vacuum through the 1" straw will produce 2.8x more volume than 2" of vacuum through the 1/2" straw.
I couldn't stand it either
. . .