Analysis of Two-Phase Flow Instability in Multichannel System

Two-phase flow instability in parallel multichannels is an important problem that affects operation safety of all large-capacity power boilers and nuclear reactor systems. Occurrence of instabilities and their modes of oscillations can be evaluated by investigating into a characteristic equation, its roots and composing channels transfer functions. It is also shown that a governing matrix is reduced to a diagonal one by using its eigenvalues, the oscillation modes being divided into number of channels separate fundamental modes. Characteristics of each oscillation mode are given by examining corresponding characteristic equations, which are applied for the prediction of oscillation modes of systems composed of a few slightly different channels.