Hagen number

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The Hagen number is a dimensionless number used in forced flow calculations. It is the forced flow equivalent of the Grashof number.

It is defined as:

Hg = \frac{-d p}{\rho  d x}\frac{L^3}{\nu^2}

where:

  • \frac{-d p}{d x} is the pressure gradient; for natural convection:=(gρβΔT) i. e. Hg -> Gr
  • L is a characteristic length
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