Adeosun, A.T.; Ukaegbu, J.C.; Lebelo, R.S. Numerical Investigation of a Combustible Polymer in a Rectangular Stockpile: A Spectral Approach. Mathematics2023, 11, 3510.
Adeosun, A.T.; Ukaegbu, J.C.; Lebelo, R.S. Numerical Investigation of a Combustible Polymer in a Rectangular Stockpile: A Spectral Approach. Mathematics 2023, 11, 3510.
Adeosun, A.T.; Ukaegbu, J.C.; Lebelo, R.S. Numerical Investigation of a Combustible Polymer in a Rectangular Stockpile: A Spectral Approach. Mathematics2023, 11, 3510.
Adeosun, A.T.; Ukaegbu, J.C.; Lebelo, R.S. Numerical Investigation of a Combustible Polymer in a Rectangular Stockpile: A Spectral Approach. Mathematics 2023, 11, 3510.
Abstract
Despite the immense application of combustion in reactive materials, one of the challenges people are facing globally is the auto-ignition of such materials, resulting in fire and explosion hazards if proper measures are not considered. To avoid this unfortunate occurrence, a mathematical model describing the thermal decomposition of combustible polymer material in a rectangular stockpile is formulated. A nonlinear momentum equation is provided with the assumption that the combustible polymer follows Carreau constitutive relation. The chemical reaction of the polymer material is assumed exothermic; therefore, Arrhenius’s kinetic theory is considered in the energy balance equation. The bivariate spectral local linearization Scheme (BSLLS) is utilized to provide a numerical solution for the dimensionless equations governing the problem. The obtained results are validated by the collocation weighted residual method (CWRM) and a good agreement is achieved. Dimensionless velocity, temperature, and thermal stability results are presented and explained comprehensively with suitable applications.
Copyright:
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