Journal of Mathematics (Jan 2021)

A Three-Dimensional Model of Turbulent Core Annular Flow Regime

  • Saliha Nouri,
  • Zouhaier Hafsia,
  • Salah Mahmoud Boulaaras,
  • Ali Allahem,
  • Salem Alkhalaf,
  • Baowei Feng

DOI
https://doi.org/10.1155/2021/5296700
Journal volume & issue
Vol. 2021

Abstract

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In this study, three-dimensional (3D) turbulent core annular flow (CAF) regime is investigated numerically. The proposed model is based on the 3D Reynolds average Navier–Stokes (RANS) equations combined with a pure convective transport equation of the volume of fluid (VOF) to predict the interface between the oil and water phases. The k-ω turbulence model is adopted to better reproduce the oil and water flow characteristics. The two-phase (CAF) regime can be predicted by two inlet configurations: the T-junction (3D-T) and the straight pipe (3D-S). These two configurations are simulated and compared for pipe diameter D=0.026 m and pipe length L=4 m. For these two inlet configurations, the computed mixture velocity profile and the water volume fraction at a test section z=100 D were compared to experimental measurements. The 3D-T configuration gives more appropriate results. The 3D-S slightly overestimates the maximum velocity at the test section and the lower and upper water layer of the (CAF) flow is shifted in the upward direction. For the 3D-T, the relative error in the pressure drop is 3.3%. However, for the 3D-S, this error is 13.0%.