A single sieve plate column operated with periodic cycling was mathematically modeled using the assumption of zero weeping rate and plug ,flow of liquid during the liquid drain period. Zero weeping rates could only be obtained by introducing baffles to control fluid oscillations on the plate. Experimental measurements of the ratio of the slopes of the equilibrium and operating lines A, the Murphree plate efficiency B , the fraction of the liquid holdup transferred per cycle T , and the separation factor X on a computer controlled column provided the first reliable confirmation of the improvements in separating ability, predicted by the theory.
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SCOPEThe mathematical modeling of the unsteady state mass transfer processes on a sieve plate column demonstrates that larger mass transfer driving forces are available than with steady state operation. These larger driving forces result in improved rates of mass transfer and superior overall column performance. The magnitude of the improvements can be quantitatively measured by comparing the number of plates required in the unsteady state case with the steady state case. For normal operating flow conditions, the theory predicts that the steady state case will require twice the number of plates. The theoretical advantages of using unsteady state conditions lead to columns containing 50% of the expected number of plates. These major improvements in reducing column height and capital expenditure exceed those available by improved plate contacting efficiency or modifications to the plate geometry.Mass balances satisfying a list of simple assumptions are used to describe the unsteady state processes occurring during the vapor-liquid contacting time. However, to achieve liquid flow through the column, it is necessary to reduce the vapor flow rate to zero for short periods to allow liquid to transfer to the plate below. The movement of liquid in the column during this liquid drain period can be described by the discrete residence time distribution (DRTD). The most desirable DRTD is for ideal plug flow, when all of the liquid holdup on a plate is transferred to the plate below, with no mixing with any other liquid stream. Multiple sieve plate columns have been shown to have a spread about the mean time in the DRTD and in an unmodified form do not satisfy the plug flow assumption required by the theory during the liquid drain period. The spread in the DRTD provides a quantitative measure of departures from plug flow and accounts for the inability of previous experimental results on distillation columns to achieve the separation predicted by the theory.The only column configuration which provides zero spread in the DRTD and satisfies the plug flow assumption is a single sieve plate column. In addition to this advantage, the single sieve plate can be used to obtain the plate efficiency, an unltnown parameter in the theoretical solution. The single sieve plate geometry provides the basic experimental equipment for the testing of the theory of periodic cycling of plate columns.
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