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We perform direct numerical simulations of a kerosene-water mixture in pipeflow under realistic experimental conditions by solving theCahn-Hilliard-Navier-Stokes equations. We compute the linear stability ofcore-annular flow of kerosene and water in a vertical pipe and find that it ishighly unstable. By performing DNS initialized with a slightly perturbedcore-annular flow, we show that the system transitions to turbulence andfinally relaxes into a turbulent slug flow regime provided that the pipe issufficiently long. This configuration presents mild turbulence and large scalethree-dimensional recirculation patterns inside the slugs. Our work highlightsthe need for applying nonlinear-dynamics approaches and carefully selecting thedomain length to investigate the patterns observed in two-phase pipe flows anddemonstrates the capabilities of phase field methods to reliably simulateexperimental conditions.

Direct numerical simulation of two-phase pipe flow: influence of the domain length on the flow regime