if by Poiseuille’s Law, the greater the radius/diameter of a tube the faster the flow, why does water flow faster out of a hose when you put your thumb over the nozzle?

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if by Poiseuille’s Law, the greater the radius/diameter of a tube the faster the flow, why does water flow faster out of a hose when you put your thumb over the nozzle?

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Water in your pipes is intentionally pressurized by the water provider. Water will flow out any pipe/hose opening no matter what direction it’s facing, within reason. This is to the point that any leak is just automatically a disaster to your home.

There’s more a of a conservation-of-work thing going on here, in the style of hydraulic systems. A certain amount of pressure is coming from the water provider, and out a certain size hole it will come out with a certain speed to get the quantity of water out that it’s aiming for. By obstructing the pipe, to get the same quantity out, the speed out the smaller hole has to be higher.

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