Explicit solution of Pressure Profile in Homogeneous Steady-State Pipe Flow @model
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 along hole |
Pressure profile along the pipe | |||
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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 and density | |
characteristic linear dimension of the pipe | |
gravity acceleration along pipe | |
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The equation for horizontal pipelines can be re-written explicitly in terms of pressure:
\frac{fL}{2d} = (\rho^*/j_m^2) \cdot (p_0-p) \cdot (1+ 0.5 \, c^* \cdot (p+p_0)) - \ln \frac{1+c^* \cdot p_0}{1+c^* \cdot p} |
See also
Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation / Pressure Profile in Homogeneous Steady-State Pipe Flow @model
[ Pressure Profile in G-Proxy Pipe Flow @model / Pressure Profile in GF-Proxy Pipe Flow @model ]
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