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Preserved in Portico This version is not peer-reviewed
A New Analytical Procedure to Solve Two Phase Flow in Tubes
Version 1
: Received: 8 April 2018 / Approved: 10 April 2018 / Online: 10 April 2018 (08:14:04 CEST)
Version 2 : Received: 17 April 2018 / Approved: 17 April 2018 / Online: 17 April 2018 (11:46:39 CEST)
Version 2 : Received: 17 April 2018 / Approved: 17 April 2018 / Online: 17 April 2018 (11:46:39 CEST)
A peer-reviewed article of this Preprint also exists.
Moschandreou, T.E. A New Analytical Procedure to Solve Two Phase Flow in Tubes. Math. Comput. Appl. 2018, 23, 26. Moschandreou, T.E. A New Analytical Procedure to Solve Two Phase Flow in Tubes. Math. Comput. Appl. 2018, 23, 26.
Abstract
A new formulation for a proposed solution to the 3D Navier-Stokes Equations in cylindrical co-ordinates coupled to the continuity and level set convection equation is presented in terms of an additive solution of the three principle directions in the radial, azimuthal and z directions of flow and a connection between the level set function and composite velocity vector for the additive solution is shown. For the case of a vertical tube configuration with small inclination angle, results are obtained for the level set function defining the interface in both the radial and azimuthal directions. It is found that the curvature dependent part of the problem alone induces sinusoidal azimuthal interfacial waves wheras when the curvature is small oscillating radial interfacial waves occur. The implications of two extremes indicate the importance of looking at the full equations including curvature.
Keywords
fluid dynamics; two phase flow; level set function; cylindrical coordinates; continuity equation
Subject
Physical Sciences, Fluids and Plasmas Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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