Abstract
Abstract The operation of fine bubble aeration columns in the time-dependent mode is modeled. The kinetics of mass transfer between the solution and the rising bubbles is included by means of a time-constant approach. The magnitude of Δt is limited by the requirement that uw · Δt/Δx be less than 1 (uw is the linear velocity of the aqueous phase); the magnitudes of the mass transfer time constant and the rise velocity of the bubbles do not affect the maximum value of Δt which can be used. The time constant for mass transfer is the reciprocal of the least positive eigenvalue of a suitably chosen diffusion problem. The effects of influent flow rate, number of compartments into which the column is partitioned, bubble boundary layer thickness, and Henry's constant for the volatile solute are examined. Transient effects associated with startup and with concentration pulses in the influent are studied.
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