Effect Of Friction Factor Research Articles

Analysis of Water Hammering in Bubbly Flows : 1st Report, Two-component Two-phase Flows

Water hammer phenomena caused by a sudden valve closure are considered in two-component bubbly flows where the phenomena are more complicated than in single-phase flows because of the presence of a compressible component. Basic partial differential equations based on a one-dimensional homogeneous flow model are solved analytically by linearization and iterated Laplace transformation. As a result, the profiles of the pressure transients, the propagation velocity of a pressure wave with a small amplitude, and the effects of valve closure on transient pressures are found. Further, the effect of friction factor on pressure profiles is shown and approximated by a simple equation. It is also shown that reflection and transmission occur at the interphase where the void fraction changes.

Analysis of water hammering in bubbly flows. 1st report. Two-component two-phase flows.

Water hammer phenomena caused by a sudden valve closure are considered in two-component bubbly flows where the phenomena are more complicated than in single-phase flows because of the presence of a compressible component. Basic partial differential equations based on a one-dimensional homogeneous flow model are solved analytically by linearization and iterated Laplace transformation. As a result, the profiles of the pressure transients, the propagation velocity of a pressure wave with a small amplitude, and the effects of valve closure on transient pressures are found. Further, the effect of friction factor on pressure profiles is shown and approximated by a simple equation. It is also shown that reflection and transmission occur at the interphase where the void fraction changes.