Flow velocity distribution along the pipe
One of the key challenges in Pipe Flow Dynamics is to predict the pressure distribution along the pipe during the steady-state fluid transport.
In many practical cases the stationary pressure distribution can be approximated by Isothermal or Quasi-isothermal homogenous fluid flow model.
Pressure Profile in L-Proxy Pipe Flow @model is addressing this problem with account of the varying pipeline trajectory, gravity effects and fluid friction with pipeline walls.
Outputs
| Pressure distribution along the pipe | |
Flow velocity distribution along the pipe |
| Intake temperature | Along-pipe temperature profile | ||
Intake pressure | |||
Intake flowrate | |||
| Pipeline trajectory TVDss | Pipe cross-section area | ||
| Inner pipe wall roughness |
| Stationary flow | Homogenous flow | Isothermal or Quasi-isothermal conditions | Constant cross-section pipe area |
| Pressure profile along the pipe | |
|---|---|
|
where
| mass flux | |
| mass flowrate | |
| Intake volumetric flowrate | |
| Intake fluid density | |
| elevation drop along pipe trajectory | |
| Darcy friction factor | |
| Reynolds number in Pipe Flow | |
dynamic viscosity as function of fluid temperature | |
characteristic linear dimension of the pipe | |
|
The equation can also be written in the following form:
| Pressure profile along the pipe | |
|---|---|
|
where
| Reduced Friction Factor |
See also
Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation / Pressure Profile in Homogeneous Steady-State Pipe Flow @model
[ Darcy friction factor ] [ Darcy friction factor @model ] [ Reynolds number in Pipe Flow ]
[ Mass Rate in L-Proxy Pipe Flow @model ]
[ Homogenous Pipe Flow Temperature Profile @model ]
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