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Thermophysics and Aeromechanics

2018 year, number 2

Stochastic dynamics of boiling on the heating element surface

A.I. Dostov


NRC Kurchatov Institute”, Moscow, Russia

E-mail: a.dostov@gmail.com


Keywords: boiling curve, boiling crisis, nuclear reactors, stochastic nonlinear dynamics, flicker-noise
Pages: 225–236

Abstract

Dynamics of a liquid boiling on a heating element surface is investigated for the equivalent problem of dynamics of temperature of the fuel cell obtained in the concept of boiling curve. It has been shown that the structural instability of the potential of boiling curve leads to the need of studying the problem of temperature fluctuations of the surface on which boiling occurs. A theoretical analysis of the Itô's equation for the considered system model has shown that at a certain intensity of external random factors, the system passes from one state of self-organized criticality to another. These processes are accompanied by 1/f a– noise (flicker-noise), which is regarded as an objective indicator of the boiling crisis. The theoretical results of the work have been confirmed by experimental data of other authors.


DOI: 10.1134/S0869864318020087