Bernoulli's Equation Pressure at Blockage

[quark002]

Homework Statement

Bernoulli's equation tells us that a portion of a stream that is slower-moving has a higher pressure than a portion of the same stream that is faster-moving. What would happen if I blocked the flow of two different streams, a faster-moving stream and a slower-moving stream? Why would I experience a higher pressure when blocking the faster-moving stream?

Relevant Equations

$$\frac{p}{\rho} + \frac{v^2}{2} = \text{cst}$$

Would it be because I'm comparing two different streams as opposed to two portions of the same stream?

 

[Chestermiller]

Can you please describe this system in more detail, with a diagram.

 

[haruspex]

if I blocked the flow of two different streams, a faster-moving stream and a slower-moving stream?

If there are two different streams there is no relationship between their pressures. You could add a constant pressure throughout one of the streams and nothing would change in the flow.