| THEORY & FORMULAE |
Two phase flow situations are encountered in many chemical process plants, and downward pipe flow is also common. The dimensionless number, Froude number (the ratio of inertial force to gravitational force), is used for predicting two-phase conditions. If the liquid Froude number if less than 0.31, the line is self-venting and therefore no vibration problems are expected. In the region 0.31 to 1.0 pulsation flow occurs which usually lead to line vibrations. If the liquid Froude exceeds 1.0 the frictional forces offsets gravitational force and thus requires no pressure gradient in the vertical downflow liquid. The relevant equations are given below:
    
where
     V = flow velocity
     W = flowrate
     D = pipe inside diameter
     A = pipe cross-sectional area = πD2/4
     ρ = density
     NFr = Froude number
     Subsript: l = liquid phase, g = gas phase
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