Application of Crank-Nicolson Finite-Difference Method to the Solution of the Dynamic Model of a Reactor

GIWA, Abdulwahab and GIWA, Saidat Olanipekun (2013) Application of Crank-Nicolson Finite-Difference Method to the Solution of the Dynamic Model of a Reactor. Application of Crank-Nicolson Finite-Difference Method to theSolution of the Dynamic Model of a Reactor, 3 (6). pp. 613-623. ISSN 2249-9954

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Abstract

The modeling of a chemical reaction, especially the one involving concentration changes in more than one direction of the reactor in which it takes place or that in which the concentration changes in one direction but at unsteady state, normally results in a partial differential equation. In order to obtain a reliable profile from the resulting partial differential equation, it must be solved using a very reliable and stable method of handling partial differential equations so that the actual chemical phenomenon occurring in the reactor can be well-understood. As such, in this work, the dynamic model developed, in form of a partial differential equation, for a reactor used for the decomposition of di-tert-butyl peroxide (DTBP) has been solved by applying Crank- Nicolson finite-difference method with the aid of MATLAB.The results obtained showed that there was a smooth change in the concentration profile of the DTBP along the length of the reactor as the reaction was taking place. Comparing the results obtained to those obtained from explicit and implicit finite-difference methods revealed that the best method for the solution of the developed dynamic model of the decomposition reaction within the reaction time and the reactor length considered was Crank-Nicolson because it was the only method that was able to avoid any fluctuation within most part of the reactor.

Item Type: Article
Uncontrolled Keywords: Dynamic model, Crank-Nicolson, finite-difference, MATLAB,DTBP.
Subjects: T Technology > TP Chemical technology
Divisions: Faculty of Engineering, Science and Mathematics > School of Engineering Sciences
Depositing User: Mr Tayo Okunlola
Date Deposited: 21 Dec 2015 12:07
Last Modified: 21 Dec 2015 12:07
URI: http://eprints.abuad.edu.ng/id/eprint/445

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