فهرست نشریات علمی دسترسی آزاد ایران

‎The article considers the problem of thermal stability in plane symmetry with an exothermic chemical reaction and constant heat release‎. ‎The dependence of the critical reactivity on the intensity of heat release is investigated‎. ‎Differential and variational formulations are considered; for the latter‎, ‎an approximate analytical solution is given that relates the parameters of the problem for critical conditions‎. ‎A simple Rayleigh-Ritz procedure results in a set of equations expressing the temperature distribution in terms of polynomials‎. ‎The ignition boundary can be found through second derivatives of the integral‎, ‎which can be evaluated using some simplifications that are typical for combustion theory‎. ‎The results are reduced to simple approximations that can be used to estimate the ignition limits in systems with combined heat release‎.