The Journal of Chemical Physics · 1961 · 97 citations · 2 references
Natural SciencesChemistryPhysicsChemical KineticsPhysical ChemistryThermodynamicsChemical ThermodynamicsCritical PhenomenaCritical Process ParametersPhase TransitionsThermal Properties Of MaterialsThermodynamic StabilityActivation EnergyActivation Energy DeterminationArrhenius EquationCritical EnergyCritical TemperatureDimensionless QuantitiesSelf-heating EffectsSelf-heating Modeling
In 1939 D. A. Frank-Kamenetsky proposed a criticality criterion that is a dimensionless constant that varies only with configuration of the self-heating chemical. In his studies of the equation equating power production as a function of temperature by the formula of Arrhenius and the power loss by conduction alone, he made a simplifying assumption. A Pace analog computer and an IBM 704 have been used to study the exact equation and it was found that the value of the F-K criticality criterion is a slowly varying function of E/RT0 in the range from infinity to 30 but becomes a sensitive function for values of E/RT0 less than 30.
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