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If You Doubled The Diameter Of A Pipe...

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sandyRoe | 18:09 Mon 16th Sep 2024 | ChatterBank
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... carrying fluids, how much more could it move?

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2 to the power 4 - 16 times - Poiseuille's equation I think

I thought it was four times as much

varies with r4, and so  2r  - oops that is doubling the radius

d is now 2d wh is 4r - raise to the power four  ( 256)

lots !.

 

Cross section area is increased by 4 times miser, but it's more complex when dealing with fluid movement. PP seems to have the answer. 

Four times as much.

Doubling the cross-sectional area of the pipe increases its area fourfold.

no woner the bogs in a lot of Courts of the realm dont work

It could hold 4 times more but that's not the same as move, that would depend on the power behind the rate of flow.

It's a cylinder for which volume is proportional to radius squared so I'd say 4 times too.

Hagen Pooiseuille - 

here

https://www.sciencedirect.com/topics/engineering/hagen-poiseuille-equation

not that well explained

Poiseuille was trying to model blood flow - and made various assumptions - such as Blood was a newtonian fluid. It isnt. Ironic it was . but works well in various conditions

The blood against a vascular wall is  devoid of blood cells. This makes the fluid far LESS viscous

for which volume is proportional to radius squared

yes for static fluids

the OP used the word 'move' - dynamic. Difft formula.

Prudie's point is good. The flow rate would vary with the pressure applied. No pressure no flow - high pressure high flow.

What inspired the question?

And viscosity?

high pressure high flow. ( actually the formula shows double the pressure difference, double the flow ( rate)

er yeah - but we were talking about radii = not pressure

Question Author

Atheist 

Something I saw on FB. 

It said when Bazelgette was designing the London sewers he decided to double their diameter, saying we can't know what the demand will be in the future.

Force = pressure x area.

Sandy only mentioned changing the area( via the diameter).

So answer is still 2^2 =4

Engineers at the time said he was inexpert, just going through the motions.

Bazelgette was designing the London sewers

typical -  victorian over-engineering. but of course  you pay

Newton Heath down the Droyl ( Droylsden Rd) they were replacing the gas pipes. Old, looked like iron sewer down pipes, new looked like yellow plastic firbre optic jobbies.

The first lot ( gas to the Droyl) went in, in 1856.

The capacity is quadrupled but other factors will determine the actual flow.

18:41 I got dougie!

I got it!

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