Reference
D. C. Dumitrache, B. De Schutter, A.
Huesman, and E. Dulf, "Modeling, analysis, and simulation of a cryogenic
distillation process for
13C isotope separation,"
Journal of Process Control, vol. 22, no. 4, pp. 798-808, Apr.
2012.
Abstract
This paper presents a structured and insightful approach to modeling and
simulation of an isotopic enrichment plant that uses distillation principles
for
13C isotope separation. First, after a brief review of
distillation and mass transfer-related topics, a full nonlinear model for the
cryogenic distillation process for
13C isotope separation is derived
from first-principles knowledge. In order to derive the mathematical
description of the concerned isotope separation process, based on the two-film
theory, we will derive the rate of transfer of the
13C isotope from
the vapor phase to the liquid phase. Since the isotope separation by cryogenic
distillation is usually carried out in a very long column with a small
diameter, a good approximation arises by neglecting the radial diffusion. We
continue with the determination of the system of the partial differential
equations that governs the evolution of desired isotope during the separation
process. Next, we solve the system of partial differential equations, resulting
in the full nonlinear model. Due to the complexity of the full nonlinear model,
we consider two additional alternative modeling approaches resulting in a
quasi-linear model and, when the isotope concentration achieved is low, a
linear approximation model. In the second part of the paper we use the
finite-differences method for the numerical analysis and numerical simulation
of the three models, followed by the assessment of the linear model for future
tasks in modeling, optimization, and process control.
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BibTeX
@article{DumDeS:12-004,
author = {Dumitrache, Dan C{\u{a}}lin and De Schutter, Bart and Huesman,
Adrie and Dulf, Eva},
title = {Modeling, Analysis, and Simulation of a Cryogenic Distillation
Process for \textsuperscript{13}{C} Isotope Separation},
journal = {Journal of Process Control},
volume = {22},
number = {4},
pages = {798--808},
month = apr,
year = {2012}
}