DOI Number : 10.5614/itbj.sci.2012.44.3.7
Hits : 11

A Singular Perturbation Problem for Steady State Conversion of Methane Oxidation in Reverse Flow Reactor

Aang Nuryaman1,3, Agus Yodi Gunawan1, Kuntjoro Adji Sidarto1 & Yogi Wibisono Budhi2

1Industrial and Financial Mathematics Research Group,
Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung
Jalan Ganesa 10 Bandung, Jawa Barat 40132, Indonesia
2Design and Development Processing Research Group, Faculty of Industrial Technology, Institut Teknologi Bandung, Jalan Ganesa 10 Bandung,
Jawa Barat 40132, Indonesia
3Department of Mathematics, Faculty of Mathematics and Natural Science
Lampung University, Jl. Soemantri Brojonegoro 1, Gedong Meneng,
Bandarlampung 35145, Indonesia
Email: aangnuryaman@gmail.com


Abstract. The governing equations describing the methane oxidation process in reverse flow reactor are given by a set of convective-diffusion equations with a nonlinear reaction term, where temperature and methane conversion are dependent variables. In this study, the process is assumed to be one-dimensional pseudo homogeneous model and takes place with a certain reaction rate in which the whole process of reactor is still workable. Thus, the reaction rate can proceed at a fixed temperature. Under this condition, we restrict ourselves to solve the equations for the conversion only. From the available data, it turns out that the ratio of the diffusion term to the reaction term is small. Hence, this ratio is considered as small parameter in our model and this leads to a singular perturbation problem. In the vicinity of small parameter in front of higher order term, the numerical difficulties will be found. Here, we present an analytical solution by means of matched asymptotic expansions. Result shows that, up to and including the first order of approximation, the solution is in agreement with the exact and numerical solutions of the boundary value problem.

Keywords: asymptotic analysis; boundary layer; methane oxidation process; pseudo homogeneous; reverse flow reactor; steady state conversion.

Download Article
 
Bahasa Indonesia | English
 
 
 

Notification:

Begin on 10 October 2014 this website is no longer activated for article process in Journal of Mathematical and Fundamental Sciences, Journal of Engineering and Technological Sciences, Journal of ICT Research and Applications and Journal of Visual Art and Design. The next process will be proceeded under new website at http://journals.itb.ac.id.

For detail information please contact us to: journal@lppm.itb.ac.id.

 
       
       
       ITB Journal Visitor Number #9841390       
       Jl. Tamansari 64, Bandung 40116, Indonesia Visitor IP Address #       
       Tel : +62-22-250 1759 ext. 121 2011 Institut Teknologi Bandung       
       Fax : +62-22-250 4010, +62-22-251 1215 XHTML + CSS + RSS       
       E-mail : journal@lppm.itb.ac.id or proceedings@lppm.itb.ac.id Developed by AVE