E.Yu. Kolesnikov, Cand. Sci. (Phys.-Math.), Assoc. Prof., e.konik@list.ru Volga Region State Technological University, Yoshkar-Ola, Russia
Dust explosions at the textile manufactures due to their destructive consequences constitute a serious danger. Unlike explosions of vapor-gas mixtures it is required to follow the «pentagon of conditions» for the dust explosion. The concept of uncertainty was introduced into the scientific use by economic science. Initially this concept had only the qualitative aspect, it acquired the quantitative aspect owing to metrology. Due to the number of objective and subjective reasons, any quantitative parameter that characterizes one or another property of a physical quantity is uncertain. This means that indicating its value with a scalar, point number is only a rough, «zero» approximation. Parametric, model, terminological and computational types of uncertainty are distinguished. In a situation when the value of the parameter does not have statistical stability, the probabilistic approach is not applicable, parametric uncertainty can be specified by an interval. Interval analysis studies performance of the mathematical operations on the intervals. Calculations within the original (naive) version in some cases are accompanied by a large computational uncertainty. The methods of its leveling are developed, there are also corresponding software tools. The article shows the interval calculation of maximum dust explosion pressure in the conventional workshop of the linen factory, which had been made using INTLAB version 10.1 package.
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