519.63; 536.2; 544.45 The influence of radiative heat loss on the ignition conditions of gases by a hot wire

Donskoy I. G. (Melentiev Energy Systems Institute SB RAS)

THERMAL EXPLOSION, MATHEMATICAL MODELLING, HEAT AND MASS TRANSFER, STEFAN-BOLTZMANN LAW


doi: 10.18698/2309-3684-2025-1-4456


The objective of the work is to theoretically determine the ignition conditions of a reacting gas flowing near an inert metal wire heated with a constant intensity (for example, by an electric current). This problem corresponds to typical conditions of the reactivity tests of combustible gases. Approximate mass and energy balance equations are written for stationary conditions. The key parameters are reactivity, heat and mass transfer coefficients, and wire heating flux. The resulting system of equations is numerically solved for a wide range of conditions (heating intensity, domain size, radiative heat loss intensity). It is known that equations systems of this type may have several stationary solutions: the low-temperature, slow reaction solution; and the high-temperature solution (combustion mode). Stable ignition is realized when the low-temperature branch becomes unstable. Using the bisection method, the critical values of the reactivity parameter corresponding to stable ignition are determined. The dependence of the ignition conditions on the heat transfer conditions is discussed.


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Донской И.Г. Моделирование влияния лучистых теплопотерь на условия зажигания газа накаленной проволокой. Математическое моделирование и численные методы, 2025, № 1, с. 44–56.


Исследование выполнено за счет гранта Российского научного фонда № 23-29-00406 (https://rscf.ru/project/23-29-00406/).


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