An analysis of water hammer phenomena in bubbly flows

Water hammer phenomena caused by a sudden valve closure are considered in both two-component and one-component two-phase flows. Basic partial differential equations based on a one-dimensional homogeneous flow model are solved analytically by Laplace transformation repeated twice, once with respect to time and then with respect to distance. The profiles of the pressure transients, and the effects of valve closing time and friction loss on transient pressures are obtained. In particular, it is shown that the mass transfer between the two phases has great influence on the profile of the pressure transients in one-component two-phase flows and that the magnitude of the influence depends on the relaxation time T/sub M/ of the interphase mass transfer