SOLUTION OF MATHEMATICAL-MODELS OF FLOW SYSTEMS USED IN ANALYTICAL-CHEMISTRY AND PROCESS ANALYSIS IN THE CASE OF SLUG AND TIME INJECTION

Abstract

Simple relationships for reducing the analytical solutions obtained when using distributed- and lumped-parameter models for slug and time injection to the mathematically less complicated and better investigated solutions for step- or delta-function inputs have been derived. They allow considerable simplification and substantial economy in computational time if numerical integration is performed. Examples are presented with hydraulic models frequently used in flow-injection analysis, chromatography and process analysis (e.g., the axially dispersed plug flow model, the convective diffusion equation, the ideally mixed tank model and the tanks-in-series model). © 1990.