Residence time distribution function for multi‐stage systems with backmixing

Abstract

The residence time distribution functions for multistage systems with backmixing are derived. The effect of backmixing on the system behavior is analyzed. In addition, an analytical expression for the probabilities for backmixing is given.

Generalized solution of the transient backflow model equations for tracer concentration in stagewise liquid extraction columns

“…Case 1. Pulse of tracer injected at the column inlet and measurement of the response at the outlet (Roemer and Durbin, 1967; Haddad and Wolf, 1967).…”

Residence Time Distributions and Micromixing

“…Equation 75 is seen to contain two adjustable parameters which are determined by the first two moments of the experimental residence time distribution. However, we shall always require that the model and experimental systems have equal values for i, and can ignore the fitting of this parameter by treating the model residence time distribution in climer~sionless form.…”

A generalised back‐flow model to predict the tracer response in liquid—liquid stagewise contactors

“…S developed by several investigators (Roemer and Durbin, 1967;Haddad and Wolf, 1967;Wen and Fan, 1976;Sawinsky and Hunek, 1981;Dongaonkar et al 1993). Roemer and Durbin (1967) and Haddad and Wolf (1967) have solved the transient profile for the pulse of tracer injected at the column inlet and measurement of the response at the outlet using the Laplace transform technique. The response at a stage n with the tracer injected at the upstream rn, has been solved by Sawinksy and Hunek (1981).…”