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# Pipe Flow Friction Losses @model

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The pressure drop in pipe flow due to fluid friction with pipe walls depends on mass flux density and friction factor distribution along the pipe.

 (1)

where

 $//$ pipe length $//$ mass flux $//$ mass flowrate $//$ intake flowrate $//$ intake fluid density $//$ pipe diameter $//$ pipe cross-section area $//$ Darcy friction factor $//$ inner pipe walls roughness $//$ Reynolds number $//$ dynamic viscosity as function of fluid temperature $//$ and pressure $//$

The accurate calculations require
solving of a self-consistent equation of Pressure Profile in Homogeneous Quasi-Isothermal Steady-State Pipe Flow @model.

There are few popular practical approximations based on assumption of constant friction factor and  linear density-pressure equation of state.

# Approximations

 (2)

$//$

$//$

Incompressible fluid
 (3)

$//$

$//$

$//$

Slightly compressible fluid
 (4)

$//$

$//$

Ideal gas
 (5)

$//$

$//$

Gravity dominated fluid density distribution

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