How to model the fluid's pressure evolution over time and distance in a pipe, from inlet to outlet, assuming the fluid is water.

Say that I have a pipe filled with a fluid with pressure P1 and flowing with Q1 steadily across the pipe.

Now I changed to P2 and Q2 at the inlet, how do I get P(t), and Q(t) at different lengths across the pipe, until the pressure stabilize again.

In other words I need to model the pressure evolution, at different points across the pipe as time proceeds.

  • $\begingroup$ Are you interested in how such problems are solved or do you want to solve? $\endgroup$ Feb 13 '19 at 0:04
  • $\begingroup$ How about both :) $\endgroup$
    – User
    Feb 13 '19 at 0:11
  • $\begingroup$ What approximation do you intend to solve? $\endgroup$ Feb 13 '19 at 0:17
  • $\begingroup$ Not sure what you mean by approximation, but I think you mean like: Constant density, quasi-steady or even steady flow, like in water distributions networks $\endgroup$
    – User
    Feb 13 '19 at 0:28
  • $\begingroup$ What I am looking for is the most basic approximation, where I end up with a system of equations to allow me to model and calculate, (motion/P/Q) of the fluid in a pipe at any given time. I come from electrical engineering background, and I want to learn fluid mechanics, I want to see how such models are developed with basic approximations, so I can create my own models later for more complex ones, like gas, and turbulent flow. $\endgroup$
    – User
    Feb 13 '19 at 0:59

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