Growth of Vapour Bubble Flow inside a Symmetric Vertical Cylindrical Tube
Fluid Mechanics
Volume 2, Issue 2, November 2016, Pages: 28-32
Received: Oct. 27, 2016; Accepted: Nov. 9, 2016; Published: Dec. 12, 2016
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S. A. Mohammadein, Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
A. K. Abu-Nab, Department of Mathematics, Faculty of Science, Menoufia University, Shebin El-Koom, Egypt
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The paper introduces the incompressible Newtonian fluid with heat transfer in a vertical cylindrical tube under the assumptions of long wavelength and low Reynolds number. The system of mass, momentum, and energy equations are solved analytically. The velocity and temperature field are obtained for two-phase densities. The growth of vapour bubble and its velocity between two-phase densities are obtained for first time under the effect of Grashof number and constant heating source. The obtained results are compared with experiment and Mohammadein at all model with good agreement.
Heat Transfer, Two-Phase Flow, Bubbly Flow, Newtonian Fluid
To cite this article
S. A. Mohammadein, A. K. Abu-Nab, Growth of Vapour Bubble Flow inside a Symmetric Vertical Cylindrical Tube, Fluid Mechanics. Vol. 2, No. 2, 2016, pp. 28-32. doi: 10.11648/
Copyright © 2016 Authors retain the copyright of this article.
This article 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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