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In case of stationary homogenous isothermal pipeline fluid flow the pressure gradient 

LaTeX Math Inline
bodyG_p
 can be correlated to volumetric flowrate 
LaTeX Math Inline
bodyq
 as (see model): 

LaTeX Math Block
anchorGp
alignmentleft
 G_p = G_{p0} + K \cdot q \cdot (1 + (q/q_{\infty})^n)^{1/n}

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For non-isothermal flow the model parameters 

LaTeX Math Inline
body\{ G_{p0}, \, K, \, q_{\infty} \}
 should be calibrated at different temperature values.


See also

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Gradiomanometer

Stationary Isothermal Homogenous Pipe Flow Pressure Profile @model ]