350 rub
Journal Dynamics of Complex Systems - XXI century №4 for 2014 г.
Article in number:
Hyperbolic law of change of power in time Chornobyl catastrophe
Keywords:
explosion
differential equation
nonlinear source
clarification of the law
Chornobyl catastrophe
Authors:
V. A. Kovalev - Ph.D. (Eng.), Senior Research, Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation of the Russian Academy of Sciences (IZMIRAN) (Troitsk, Moscow). E-mail: viс.kov@yandex.ru
Abstract:
It is shown that the change of power in the explosion at the Chernobyl nuclear power plant, which was recorded devices, can be described by the ordinary differential equation with nonlinear source of power type. Depending on the exponent (β) solution of the equation can be exponential (β = 1) or hyperbolic (β > 1), which for the final time, the capacity increases indefinitely. It is shown that the best agreement with the available data occurs when the hyperbolic law («blow-up processes») (β ≈ 1,06). The deviation of the observed values of power from the calculated according to the formula of the hyperbolic law on the order of magnitude smaller than suggested in accepted formula of exponential law. The establishment of more precise law will allow to better understand the physical processes that accompanied the explosion.
Pages: 59-60
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