ANALYTICAL EXPRESSIONS FOR EXOTHERMIC EXPLOSIONS IN A SLAB
DOI:
https://doi.org/10.29121/granthaalayah.v1.i2.2014.3076Keywords:
Thermal Explosions, Kinetics Reactions, Non-Linear Boundary Value Problem, Homotopy Analysis Method, Numerical SimulationAbstract [English]
Analytical solutions for the strongly exothermic decomposition of combustible material are discussed in this paper. Combustible material uniformly distributed between symmetrically heated parallel plates under Sensitized, Arrhenius and Bimolecular reaction rates are also discussed neglecting consumption of material. Approximate analytical expressions of steady state temperature fields are derived by using Homotopy analysis method (HPM) for various values of relevant dimensionless parameters. Analytical results are compounded with perturbation technique and numerical simulation. Analytical results are coinciding with numerical simulation and agreement is noted. The present method simple, less computational and applicable for solving strongly non-linear initial and boundary value problems.
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