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Mathematical modeling of the liquid flow in a gas-liquid and gas-liquid-solid Karr reciprocating plate column (RPC) of different column geometry (diameter and height, number of vibrating plates) is presented. The experimental investi-gations were based on tracer flow analysis (stimulus-response technique). The experimentally determined density of the residence time distribution function (C-function) was used for detecting the parameters of different mathematical models. Three models, very often used in the literature, were adopted for such an analysis: the axial dispersion model (ADM), a model based on the existence of N-perfectly mixed compartments (N-PMC) and a model of N-per-fectly mixed compartments (sections) with a back flow between each section (Nα-PMC). © 2017, CI and CEQ. All rights reserved.