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Analysis of liquid phase adsorption fractionation in fixed beds
Author(s) -
Morton E. L.,
Murrill P. W.
Publication year - 1967
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690130526
Subject(s) - thermodynamics , diffusion , boundary value problem , adsorption , interphase , phase (matter) , work (physics) , partial differential equation , chemistry , nonlinear system , mass transfer , mechanics , mathematics , mathematical analysis , physics , genetics , organic chemistry , quantum mechanics , biology
Liquid phase adsorption has been one of the latest unit operations to receive theoretical treatment because of the relative complexity of the mechanisms involved. The purpose of this investigation is to present an improved method for solving problems, especially where intraparticle diffusion is a rate controlling mechanism. Appropriate boundary conditions for liquid phase adsorption and a general nonlinear equilibrium relation are included in deriving a system of partial differential equations describing the process. The mathematical model consists of a bulk phase material balance, an intraparticle diffusion equation, and a rate for interphase transfer; these equations must be solved simultaneously with the boundary conditions and equilibrium function. A numerical procedure is developed and discussed for use on a high‐speed computer. The results are sets of computed curves for four liquid systems, each requiring a separate computer solution because of changes in feed concentration or equilibrium relationship. It is shown that for three of the four systems tested in this research, experimental data correlate with computed results better than in earlier work. Although the solution of this model has been carried out for particular examples, it should be applicable in the case of other liquid phase systems following the assumed mechanisms.