Solution of the Reverse Flow Reactor Model Using Homotopy Analysis Method

Abstract

Methane (CH4) is one of the most dangerous greenhouse gases in the atmosphere. A reverse flow reactor is utilized to convert CH4 to carbon dioxide (CO2) as a means of reducing the effect of global warming. The dynamics of its dependent variables can be stated by a set of convective-diffusion equations. In this article, we examined analytical solutions of temperature dynamics and methane conversion for a 1-D pseudo homogeneous model without refrigeration by using the homotopy analysis method. The results show that temperature and conversion of methane will go to constant when time goes to infinity. ABSTRAK: Metana (CH4) merupakan salah satu gas rumah hijau paling berbahaya di atmosfera. Reaktor aliran balik telah dipakai bagi menukar CH4 kepada CO2 bagi mengurangkan kesan pemanasan global. Dinamik pemboleh ubah bersandar ini dapat diterangkan melalui satu set persamaan konvektif-difusi. Artikel ini akan mengkaji penyelesaian analisis dinamik suhu dan penukaran metana bagi model 1-D pseudo-homogen tanpa penyejukan dengan menggunakan kaedah analisis homotopi. Hasil kajian menunjukkan bahawa suhu dan penukaran metana akan berterusan dengan masa tak terhingga.

Revisiting Fisher-KPP model to interpret the spatial spreading of invasive cell population in biology

“…Furthermore, the HAM has been effectively used in many nonlinear problems, namely viscous flows [30] , heat transfer, nonlinear water waves and oscillations [31] , entropy analysis [32] , and so on. Recently, the HAM has been used to analyze the reverse flow reactor (RFR) model [33] . Also, heat transfer and the MHD flow of viscoelastic fluids over an exponentially stretching surface are analyzed by the HAM [34] .…”

Global Residue Harmonic Balance Method for a System of Strongly Nonlinear Oscillator

“…Also, many researchers have applied these methods to study the models in many different fields. By applying the homotopy analysis method (HAM), Easif et al [13] obtained the approximate solutions of the variable coefficient variant boussinesq system, Vakilzadeh et al [14] investigated the dynamic pull-in instability of a suspended microchannel resonator, and Suharsono et al [15] studied the solution of the reverse flow reactor model. Abed [16] studied the Kuramoto-Sivashinsky equation by the new iterative method.…”