Numerical solving and simulation of the distributed mass transfer process
by
Rafał Andrzej Korgul
Department of Cybernetics, Military University of Technology, ul.S. Kaliskiego 2, 01-489 Warsaw, Poland
Coauthors: Artur Korgul (Patent Office of the Rep. of Poland, Al. Niepodległości 188/192, 00-950 Warsaw, Poland)

This paper deals with solving of the countercurrent mass transfer process taking place in moving porous bed during countercurrent flow of materials.

Such kind of process is popular in chemical engineering, food processing (e.g. in sugar industry diffuser) and in other industrial branches.

The countercurrent mass and heat transfer phenomena are described by a well-known set of coupled hyperbolic partial differential equations. When solving numerically such equations one can meet the following problems: - the finite difference method generates unstable approximation's scheme; - the Galerkin method is inconvenient for this purpose because of process parameters are time-varying values and the measurements of state variables are usually be able in the discrete points along apparatus only; - the well-known approximation with splines is also unsuitable, as the band form matrices appeared in this scheme discard some interactions contained in continuous model of examined process, and it is not adequate to physics of real phenomenon of mass transfer.

To avoid mentioned problems the lossless differentiation (according to Polish AK method) was used for regular solving of the process equations and numerical simulation of the flow change regime in countercurrent sugar extraction of beet cossettes by means of hot water in continuous diffuser.

References: /1/ A. Korgul: AIAA Journal of Guidance, Control, and Dynamics Vol.23, No.6, November-December 2000, pp.1021-1029. /2/ A. Korgul: Zuckerindustrie Vol.113,No.4, 1988, pp.304-309. /3/ A. Korgul: Polish Patent No.177164, 16 Aug.1995.

Date received: January 13, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakt-26.