Computational modelling of thermal stability in a reactive slab with reactant consumption
type: Item
instance of: scholarly article
title: Computational modelling of thermal stability in a reactive slab with reactant consumption
zbMATH Open document ID: 1246.80012
DOI: 10.1155/2012/239052
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: Summary: This paper investigates both the transient and the steady state of a one-step nth-order oxidation exothermic reaction in a slab of combustible material with an insulated lower surface and an isothermal upper surface, taking into consideration reactant consumption. The nonlinear partial differential equation governing the transient reaction-diffusion problem is solved numerically using a semidiscretization finite difference technique. The steady-state problem is solved using a perturbation technique together with a special type of the Hermite-Padé approximants. Graphical results are presented and discussed quantitatively with respect to various embedded parameters controlling the systems. The crucial roles played by the boundary conditions in determining the thermal ignition criticality are demonstrated.
Mathematics Subject Classification ID: 80M25
zbMATH DE Number: 6078692
Wikidata QID: Q58696078
author: O. D. Makinde
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/239052
OpenAlex ID: W2112685779
cites work: Q2703795
cites work: Thermal explosion for a slab with spatially varying surface temperature
cites work: Mathematical problems from combustion theory
cites work: Solving convection and convection-reaction problems using the method of lines
cites work: Q4856607
cites work: Q5182723
description: scientific article; zbMATH DE number 6078692