Air speed and differential pressure are there in relation?

[MARECHAL]

I am looking for a "simple" relation between differential pressure and air speed of a compressible fluid (air).
I would like to calculate air speed in m/s in a a tube with a restrictor with only a differential pressure instrument, but not with experimentation, I'm looking for theoretical formulation.

Something like V= kP where V is in m/s, k a constant and P in Pa or mBar, I know there is the Darcy's law, but there is too much parameter that I could not measuring or knowing.

Is my question is judicious ?

 

[Evo]

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