What is the relation between superficial velocity and average fluid velocity in a packed bed?

What is the relation between superficial velocity and average fluid velocity in a packed bed? Correct Answer ϑ=φu

The correct relation between the superficial velocity and the average velocity is given as ϑ=φu, whereϑ is the porosity of the bed. The average fluid velocity is the cumulative mean of the velocity of fluid through the voids which is difficult to measure.

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For the gas absorption, the height of a transfer unit, based on the gas phase is given by (G: superficial molar gas velocity, L: superficial molar liquid velocity, FG: mass transfer co-efficient, mols/m2, a: in-terfacial area per unit volume of tower)