A general procedure to determine the transfer matrix of Francis turbine conduits in presence of cavitating and periodically detaching flow

Abstract

In present paper the equations are determined which describe small harmonic oscillation of velocity, pressure and velocity potential for low celerity flow in straight ducts with cross section arbitrarily varying in both time and space. The obtained equations allow for the modelling of phenomena as cavitation and pulsating flow detachment. Eventually a general procedure is given which allows for the numerical determination of the duct transfer matrix in the general case

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