Phase Relation of Forces Between Multiple Bends

Abstract

Multiphase flow induced vibrations are difficult to calculate. This is in part the prediction of the force frequency spectrum at a single bend, part the influence of bends on the multiphase flow behavior and therefore the prediction of the multiphase flow characteristics between bends. In this paper, the evolution of the forces between subsequent bends are discussed including the phase relations of the forces on the different bends. For annular flow, the forces between the different bends are incoherent and are more or less random. However, for stratified and especially slug flow, the forces remain coherent up to high frequencies. This means in a frequency response analysis of a piping structure, the transport velocity of the multiphase structures must be taken into account.