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Motivation

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.

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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.Explicit solution of  Pressure Profile in Homogeneous Steady-State Pipe Flow @model


Outputs

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LaTeX Math Inline
bodyp(l)

Pressure distribution along the pipe

LaTeX Math Inline
bodyq(l)

Flowrate distribution along the pipe

LaTeX Math Inline
bodyu(l)

Flow velocity distribution along the pipe

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titleDerivation


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See Derivation of Pressure Profile in GF-Proxy Pipe Flow @model

The equation 

LaTeX Math Block Reference
anchorPressureProfile
 can also be written in the following form:

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LaTeX Math Block
anchorF2
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where

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See also

References

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grouparax

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titleARAX

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