Liquid Pipeline Chemical Dose Rate

Calculate single phase liquid pipeline, liquid chemical dose volume fraction, mass fraction, volume ratio, mass ratio, and average fluid density.

`Xv = (Vd) / (Vf) `
`Mv = (Md) / (Mf) `
`Rv = 1 : (Xl) / (Xd) = 1 : (1/(Xv) - 1) `
`Rm = 1 : (Ml) / (Md) = 1 : (1/(Xm) - 1) `
`Vf = Vd + Vl `
`Mf = Md + Ml `
`ρf = Xv. ρd + (1-Xv) ρl `

where :

Xv = dose volume fraction
Mv = dose mass fraction
Rv = dose volume ratio (1 : liquid volume / dose volume rounded)
Rm = dose mass ratio (1 : liquid mass / dose mass rounded)
Vf = total fluid volume
Vd = dose volume
Vl = liquid volume (before dosing)
Mf = total fluid mass
Md = dose mass
Ml = liquid mass (before dosing)
ρf = average fluid density (dosed)
ρd = dose chemical density
ρl = liquid density (before dosing)

The average fluid density includes the dosing chemical (combined undosed liquid and dose chemical). The volume of mixing is assumed to be equal to the sum of the individual volumes. The dose amount can be calculated from either the liquid volume (before dosing), or the total fluid volume. he dose rate can be calculated from either the liquid flowrate (before dosing), or the total fluid flowrate.

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