An Analytical Solution for the Analysis of Zero-Length-Column Experiments with Heat Effects

Abstract

An analytical solution for the analysis of zero-length-column (ZLC) experiments with heat effects is developed. The model is an extension of the original one developed by Eic and Ruthven with the inclusion of the energy balance. Two additional parameters are obtained, β = (ΔH/Cp) (∂q/∂T)|c0,T0 and α = (ha/Cp)(rc2/Dc). A criterion for negligible heat effects, 3Lβ/α < 0.1, is derived from the analytical solution based on ZLC operating parameters. ZLC desorption curves in nonisothermal operation are discussed. The model reduces to the original solution of isothermal operation developed by Eic and Ruthven when heat effects are negligible. ZLC experiments with heat effects are analyzed, and trends are in good agreement with theory. Because of its simplicity, the model is a valuable tool for the analysis of ZLC experiments with heat effects.