Fluid Flow

[planecrazy.eu]

I know this is the wrong place to post this, well wrong forum...

However, i know there are some very clever people here and always provide accurate information.

What i am doing is a refuelling assignment, starts with a third world type of setup and ends with modern. I have figured out the modern, using pumps, etc...

What i can do is this way.

Fuel is stored 20m above ground, and is fed via a 100m long and 125mm diameter line. Friction factor is 0.008 and the K Factors are, Tank Exit = 0.5, bend = 0.9 and Value = 1.0.

Assume liquid to be water and not oil/fuel.

I cant find an equation to figure this out, pretty sure there are plenty but i am feeling stupid as i cant find them.

I had ago at using newtons laws to figure it out, but couldnt take into account the line length or diameter so now i am at a loss.

Any help is most appreciated.

Thanks

[jackwp2000]

You need to use the bernoulli equation with the darcy-weisbach equation for pressure loss due to friction.

[planecrazy.eu]

Thanks for that.

I now have 2 equations, not to sure which one is right?

0 =Vsq(2) / 2g + Z(2) + 4f L/D + K

or 0 = vsq(2) / 2g + Z(2) + 4f l/d + Vsq(2) / 2g + K Vsq(2) / 2g

I am trying to solve V2 for the equation

I know that

f = 0.008
z = 12m
L = 200m
g = 9.81
k = 3.3
d = 125mm

I would ask this on a different forum, like a physics one or similar but cant find one thats any good, if any one can recommend one that would be great.