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Thermal stability investigation in a reactive sphere of combustible material. (English) Zbl 1356.80044

The author gives a short overview of the background of self-ignited fires of stockpiles of combustible material. After that, the mathematical formulation for a reactive sphere of combustible material is stated, where a one-dimensional nonlinear energy equation is used to describe the problem. This problem is solved numerically by the application of different methods corresponding to the different terms, e.g., a semi-implicit finite difference scheme or second-order central schemes. Finally, numerical results regarding the effects of kinetic parameters on temperature, thermal stability and blow-ups are presented.

MSC:

80A25 Combustion
80A32 Chemically reacting flows
80M20 Finite difference methods applied to problems in thermodynamics and heat transfer
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