Sensitivity and Uncertainty Analysis of Variable-Volume Deterministic Model for Endothermic Continuously Stirred Tank Reactor
Loading...
Date
2021-05-04
Authors
Muhirwa, Jean Pierre
Mbalawata, Isambi Sailon
Masanja, Verdiana Grace
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Mathematics and Informatics
Abstract
This paper deals with the formulation and the identifiability of the variablevolume deterministic model for the endothermic continuously stirred tank reactor
(CSTR). The identifiability of physical parameters of the formulated model is done by
using the least squares and the delayed rejection adaptive algorithm version of the
Markov chain Monte Carlo (MCMC) method. The least square estimates are used as prior
information for the MCMC method. To measure the model output associated with the
perturbed model parameters, we use global sensitivity analysis implemented in Latin
Hypercube Sampling method. The obtained results from partial rank correlation
coefficients show that six parameters are very sensitive and correlated with the model
outputs. Finally, we show that the least square and the MCMC numerical results impart
the model to be realistic, reliable and worthwhile to describe the dynamics of CSTR
processes as physical parameters of the model are well identified and their uncertainties
in the model response are analysed and quantified.
Sustainable Development Goals
This research article published by the Journal of Mathematics and Informatics, Vol. 20, 2021
Keywords
Variable-volume, Markov chain Monte Carlo, Continuously stirred tank reactor