Premium
Analysis of two‐dimensional models for liquid chromatographic reactors of cylindrical geometry
Author(s) -
Uche Ugochukwu David,
Qamar Shamsul,
SeidelMorgenstern Andreas
Publication year - 2019
Publication title -
international journal of chemical kinetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.341
H-Index - 68
eISSN - 1097-4601
pISSN - 0538-8066
DOI - 10.1002/kin.21277
Subject(s) - laplace transform , chemistry , isothermal process , work (physics) , partial differential equation , algebraic equation , mathematical analysis , mathematics , mechanics , thermodynamics , physics , nonlinear system , quantum mechanics
This work presents the analytical solutions of two‐dimensional isothermal reactive general rate models for liquid chromatographic reactors of cylindrical geometry. Both irreversible and reversible reactions are considered. The model equations form a linear system of convection‐diffusion‐reaction partial differential equations coupled with algebraic equations for isotherms. Analytical solutions are derived by integrated implementation of finite Hankel transform, Laplace transform, eigen‐decomposition technique, and conventional ordinary differential equations solution technique. To verify the analytical results, a high‐resolution finite volume scheme is also applied to numerically approximate the model equations. The current results can be very useful to optimize and upgrade the liquid chromatographic reactors.