A Three-Dimensional Model of Turbulent Core Annular Flow Regime

Author:

Nouri Saliha12,Hafsia Zouhaier13ORCID,Boulaaras Salah Mahmoud45ORCID,Allahem Ali6ORCID,Alkhalaf Salem7,Feng Baowei8

Affiliation:

1. Department of Physics, College of Science and Arts at ArRass, Qassim University, Buraydah, Saudi Arabia

2. Department of Physics, University of Tunis, Tunis, Tunisia

3. Department of Physics, University of Tunis El-Manar, Tunis, Tunisia

4. Department of Mathematics, College of Science and Arts at ArRass, Qassim University, Buraydah, Saudi Arabia

5. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Oran 31000, Algeria

6. Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia

7. Department of Computer Science, College of Science and Arts at ArRass, Qassim University, Buraydah, Saudi Arabia

8. Department Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, China

Abstract

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%.

Funder

Qassim University

Publisher

Hindawi Limited

Subject

General Mathematics

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