Nuryaman, Aang and Gunawan, Agus Yodi (2017) A SINGULAR PERTURBATION PROBLEM IN STEADY STATE OF METHANE COMBUSTION USING REVERSE FLOW REACTOR. Far East Journal of Mathematical Sciences (FJMS), 102 (9). pp. 20692079. ISSN 09720871

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Abstract
In this paper, we study a solution of a set of convectivediffusion equations arising from methane combustion in reverse flow reactor. Here, temperature and concentration of methane are dependent variables. By scaling process, a nonlinear reaction rate term can be approximated as a linear term, resulting in linear convectivediffusion equations. We consider the steady state regime for small ratio of the diffusion and convective terms. This leads to a singular perturbation problem. Using variable transformation, the problem can be converted into a regular perturbationlike problem. Asymptotic solution shows that, up to and including the second order of approximation, the solution is in agreement with numerical solutions of the boundary value problem.
Item Type:  Article 

Subjects:  Q Science > QA Mathematics > QA75 Electronic computers. Computer science 
Divisions:  Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika 
Depositing User:  Mr. Aang Nuryaman 
Date Deposited:  16 Nov 2017 03:29 
Last Modified:  16 Nov 2017 03:29 
URI:  http://repository.lppm.unila.ac.id/id/eprint/4845 
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