Abstract

Multi-phase flows, particularly two-phase flows, are widely used in the industries, hence in order to predict flow regime, pressure drop, heat transfer, and phase change, two-phase flows should be studied more precisely. In the petroleum industry, separation of phases such as water from petroleum is done using rotational flow and vortices; thus, the evolution of the vortex in two-phase flow should be considered. One method of separation requires the flow to enter a long tube in a free vortex. Investigating this requires sufficient knowledge of free vortex flow in a tube. The present study examined the evolution of tube-constrained two-phase free vortex using computational fluid dynamics. The discretized equations were solved using the SIMPLE method. It was determined that as the liquid flows down the length of the pipe, the free vortex evolves into combined forced and free vortices. The tangential velocity of the free and forced vortices also decreases in response to viscosity. It is shown that the concentration of the second discrete phase (oil) is greatest at the center of the pipe in the core of the vortex. This concentration is at a maximum at the outlet of the pipe.

Highlights

  • Vortices have been studied in different fields of fluid mechanics

  • At z 1⁄4 0.2 m section, the free vortex at the inlet evolves into a combination of free and forced vortices with the forced vortex existing at the core

  • Tangential velocity distribution in a free vortex is proportional to the inverse of the radius; in a forced vortex, it is proportional to the radius

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Summary

Introduction

Vortices have been studied in different fields of fluid mechanics. They have been effectively used to explain the physics of turbulence.[1,2] Vortex dynamics are vital to comprehending the nature of turbulence, including entrainment and mixing, heat and mass transfer, combustion, chemical reactions, and noise generation in the aerodynamics.[3]. Li et al.[12] conducted a numerical study on flow field in a barrel with an outlet at the center of the bottom to investigate the effect of Coriolis force on the formation of a free surface vortex.

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