Author/Authors :
Wójcik, M Faculty of Chemistry - Department of Chemical and Process Engineering - Rzeszow University of Technology, Rzeszow, Poland , Szukiewicz, M Faculty of Chemistry - Department of Chemical and Process Engineering - Rzeszow University of Technology, Rzeszow, Poland , Próchniak, W New Chemical Syntheses Institute - Catalyst Department, Pulawy, Poland , Wiercioch, P New Chemical Syntheses Institute - Catalyst Department, Pulawy, Poland
Abstract :
A simple method which is suitable for determining with reasonable precision the parameters of gas flow
system has been proposed. An inverse boundary-value problem is considered. The model of gas flow with
the Danckwert’s boundary conditions in a real measurement system has been analyzed and solved. The
tracer technique was applied to determine axial dispersion coefficient of gas phase and Pèclet number.
These parameters are commonly used to characterize the flow behavior of fluids. Axial dispersion
coefficients were estimated by comparing model solution with recorded TCD signal (an inverse problem as
a method for model parameter estimation) employing the Laplace transform technique. The Gaver-Stehfest
algorithm for the solution of the mathematical model has been applied. The proposed model of gas show a
good agreement with the experimental data. The obtained results show that under operation conditions in
the studied system the flow behaviour is neither plug flow nor perfect mixing. The described method is very
fast in both experimental and computational part. Simple and errorless derivation of sophisticated model
formulas has been possible by application of the Computer Algebra System-type program. The program
also simplifies computations. Mathematical manipulations and computations were performed using
program Maple®.
Keywords :
Maple® , Non-ideal flow , Numerical inversion of Laplace transform , Laplace transform
