title: Two-Dimensional Model for Reactive-Sorption Columns of Cylindrical Geometry: Analytical Solutions and Moment Analysis.
abstract: A set of analytical solutions are presented for a model describing the transport of a solute in a fixed-bed reactor of cylindrical geometry subjected to the first (Dirichlet) and third (Danckwerts) type inlet boundary conditions. Linear sorption kinetic process and first-order decay are considered. Cylindrical geometry allows the use of large columns to investigate dispersion, adsorption/desorption and reaction kinetic mechanisms. The finite Hankel and Laplace transform techniques are adopted to solve the model equations. For further analysis, statistical temporal moments are derived from the Laplace-transformed solutions. The developed analytical solutions are compared with the numerical solutions of high-resolution finite volume scheme. Different case studies are presented and discussed for a series of numerical values corresponding to a wide range of mass transfer and reaction kinetics. A good agreement was observed in the analytical and numerical concentration profiles and moments. The developed solutions are efficient tools for analyzing numerical algorithms, sensitivity analysis and simultaneous determination of the longitudinal and transverse dispersion coefficients from a laboratory-scale radial column experiment.
authors.affiliation: Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 45550 Islamabad, Pakistan.|Department of Mathematics, Heavy Industry Taxila Education City (HITEC), 44700 Taxila, Pakistan.
authors.forename: Farman U
authors.initials: FU
authors.lastname: Khan
authors.affiliation: Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 45550 Islamabad, Pakistan.|Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstrasse 1, 39106 Magdeburg, Germany.
authors.forename: Shamsul
authors.initials: S
authors.lastname: Qamar