Abstract
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.
Highlights
Thermal ignition studies and heat transfers in slab of reactive material are useful in slab to improve design and operation of industrial and engineering devices [1,2,3]
Industrial products may be discolored; warped, weakened or ignited spontaneously if heat is liberated from chemical reaction inside material is not removed or prevented
Squire [4] found that discoloration of central region of a tall stack of plywood panels was due to excessive internal heat generation from exothermic chemical reactions in curing of glue
Summary
Thermal ignition studies and heat transfers in slab of reactive material are useful in slab to improve design and operation of industrial and engineering devices [1,2,3]. One of insidious conditions is internal heat generation which affects quality of industrial product after it is cast, coated, moulded, forged or laminated. Industrial products may be discolored; warped, weakened or ignited spontaneously if heat is liberated from chemical reaction inside material is not removed or prevented. Squire [4] found that discoloration of central region of a tall stack of plywood panels was due to excessive internal heat generation from exothermic chemical reactions in curing of glue. Criticality conditions provide criterion for safety of storage materials capable of undergoing exothermic reaction. This paper is to derive the approximate analytical expressions of steady state temperature fields for the Sensitized, Arrhenius and Bimolecular reaction rates
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