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I am seeking some help related to part of a project I am currently working on, where I require to (data-driven) model the pressure drop due to friction for natural gas flowing along a horizontal pipeline (not underground). I have data for the following variables:

  • P1: Pressure at the entry side.

  • P2 : Pressure at the exit side, P1>P2

  • Q: Volumetric Flow Rate at the entry side

  • T1: Temperature at the entry side.

  • T2: Temperature at the exit side.

  • Z: Compressibility of the natural gas

  • M: Molar Mass of the natural gas.

  • D: Density of the natural gas at the entry side.

I found out that a linear regression fit between [(P1)^0.5 - (P2)^0.5]^0.5 vs Q can be used to obtain an empirical model for the pressure drop because the scatter plot converges acceptable well to a 'straight' line. I am showing the scatter plot below based on the real data here. enter image description here

Can someone kindly suggest me how can I improve the convergence towards a linear plot more by including more variables and hence improving the accuracy of the model? I would be grateful for any insightful help or a general suggestion.

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  • $\begingroup$ Are you going to consider roughness & friction factors for the internal wall of the pipe? $\endgroup$ – Fred Feb 8 at 12:56
  • $\begingroup$ yeah, though so its the friction factor. I don't have the data for them from the plant. $\endgroup$ – your_boy_gorja Feb 8 at 13:04

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