Open Access Open Access  Restricted Access Subscription or Fee Access

Application of Ordinary Differential Equations (ODE’s) in Reaction Engineering: Review

Chandrakumar Bhimraoji Mohod

Abstract


In chemical engineering, dynamic process models, based on conservation laws have become an indispensable tool for the development of new processes and the improvement of existing ones. Multiple reactions with heat effects in CSTRs and PFRs are either operated adiabatically or have co-current or countercurrent heat exchangers. Such high-complexity problems can be easily solved using simulation software. The latter also allows getting solutions of ODE systems easily. Reaction engineering is now applied over a vast range of new and emerging fields such as biological systems (fermentation and enzymatic reactors), electrochemical systems (fuel cells), combustion processes (furnaces), pharmacokinetics, chemical and environmental engineering. As new technologies are emerging, the fundamentals of reaction engineering will continue to be applied and make substantial contributions. Present work reviews the application of ODEs in reaction engineering that can be implemented by using numerical techniques and can be simulated using different simulation software, which can be useful to student, academicians, research scholar and industry in point of understanding.

Full Text:

PDF

References


Chapra S.C., Canale R.P. Numerical Methods for Engineers: With Software and Programming Applications. 4th Edn., Tata McGraw-Hill Publisher, 681–725,752–788p.

Rao S.S. Engineering Optimization: Theory and Practice. 3rd Edn., New Age International (P) Limited Publishers; 1998.

Veerarajan T., Ramachandran T. Numerical Methods with Programs in C. 2nd Edn., Tata McGraw-Hill Publishing Company Limited; 2008.

Pal M. Numerical Analysis For Scientists And Engineers Theory And C Programs. Narosa Publishing House Pvt. Ltd.; 2007; 511–77p.

Smith McC. Unit Operation. 4th Edn., New Delhi: Mac Graw Hill Publication; 2007; 1–10p.

Katare S., Caruthers J.M., Nicholas Delgass W., et al. An intelligent system for reaction kinetic modeling and catalyst design, Ind Eng Chem Res. 2004; 43: 3484–512p.

Alejandro R.-M., Ma C.-R., Del Rosario P., et al. Problem based learning (pbl): analysis of continuous stirred tank chemical reactors with a process control approach, Int J Software Eng Appl (IJSEA). 2010; 1(4): 54–73p.

Brennera A., Shachamb M., Cutlip M.B. Applications of mathematical software packages for modeling and simulations in environmental engineering education, Environ Model Software. 2005; 20: 1307–13p.

Vasic-Racki D., Kragl U., Liese A. Benefits of enzyme kinetics modelling, Chem Biochem Eng Q. 2003; 17(1): 7–18p.

Luyben W.L. Chemical reactor design and control, Environ Eng Manage J. 2007; 6(6): 597–9p.

Abdallah L.A.M., Seoud A.-L.A. Determination of the rate constants for a consecutive second order irreversible chemical reaction using MATLAB Toolbox, Eur J Sci Res. 2010; 41(3): 412–9p.

Quina M.J., Almeida-Costa A.C., Quinta-Ferreira R.M. Fixed-bed reactor modeling and simulation with e-Learning Tools, International Conference on Engineering Education – ICEE 2007. September 3–7, 2007, Coimbra, Portugal.

Shahrouzi J.R., Guillaume D., Rouchon P., et al. Stochastic simulation and single events kinetic modeling: application to olefin oligomerization, Ind Eng Chem Res. 2008; 47: 4308–16p.

Morgenroth E., Arvin E., Vanrolleghem P. The use of mathematical models in teaching wastewater treatment engineering, Water Sci Technol. 2002; 45(6): 229–33p.

Daous M.A., Hydraulic simulation of nth-order reaction kinetics, Eng Sci. 1993; 5: 113–9p.

Gillespie D.T. Stochastic simulation of chemical kinetics, Annu Rev Phys Chem. 2007; 58: 35–55p.

Prokopová Z., Prokop R. Modelling and simulation of chemical industrialreactors, Proceedings 23rd European Conference on Modelling and Simulation. ISBN: 978-0-9553018-8-9 / ISBN: 978-0-9553018-9-6 (CD).

Yartseva A., Devillers R., Klaudel H., F. et al. From MIN model to ordinary differential equations, J Integr Bioinfor. 2007; 4(3): 61p.

Bangert F., Kuhl D., Meschke G. Chemo-hygro-mechanical modelling and numerical simulationof concrete deterioration caused by alkali–silica

reaction, Int J Num Anal Meth Geomech. 2004; 28: 689–714p.

Rodrigues A.E., Minceva M. Modelling and simulation in chemical engineering: tools for process innovation, Comput Chem Eng. 2005; 29: 1167–83p.

Burrage K., Tian T., Burrage P. A multi-scaled approach for simulating chemical reaction systems, Prog Biophys Mol Biol. 2004; 85: 217–34p.


Refbacks

  • There are currently no refbacks.