Hydraulic Pipe
Please help me, I got a question about hydraulic resistance!!?
There're 2 equations.
A: P1-P2 = (128*dynamic viscosity* pipe length / pi * diameter power 4) * flow rate
B: P1-P2 = Reynolds number * density of fluid * flow rate *
|flow rate| / (2 * area square)
Who knows the difference between A and B?
I used B and got a Time variable, rest are constant in B, 'cause I want to have a dynamic eqution.
However, I have no idea about the distinction about A and B and I just would like to calculate the flow rate in a pipe with hydraulic resistance and because I got a acceleration dx/dt from the piston, I'd like to use dx/dt to obtain the flow rate in the pipe, but I don't know in which equation I could put dx/dt. Someone could tell me the difference between A and B and which one I could use and why and have something else or you could show some paper to explain it!
Please help me!!!
It's a long time since I did this stuff, but . . .
Equation A is okay for streamlined flow in a smooth pipe only.
In equation B, the Reynolds number is a function of viscosity, fluid velocity, pipe diameter, pipe wall roughness and maybe other things. Equation A is probably the limiting case when the Reynolds number is small enough. You would need equation B for turbulent flow.
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