Two-Phase Viscous Axial Flow in a Pipe

[+] Author and Article Information
Michael Bentwich

Department of Mechanical Engineering, Technion, Israel Institute of Technology, Haifa, Israel

J. Basic Eng 86(4), 669-672 (Dec 01, 1964) (4 pages) doi:10.1115/1.3655918 History: Received July 29, 1963; Online November 03, 2011


The author develops the general solution for the axial two-phase viscous flow in a long circular pipe. The interface between the two phases is taken to be either circular-cylindrical or an arc-segment of a cylindrical surface; possibly of zero curvature. The expressions for the velocity distributions obtained may be of use in calculating the amount of water that should be added to oil pipelines, in order to reduce pumping costs. The mathematical problem is that of potential and, hence, this work is also the solution of various analogous problems in the fields of elasticity, heat transfer, mechanics, or electricity.

Copyright © 1964 by ASME
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