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
Views 2683      Downloads 54
Authors
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
Article Tools
Follow on us
Abstract
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.
Keywords
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/j.fm.20160202.12
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
References
[1]
A. N. S. Srinivas, R. Hemadri Reddy, S. Srinivas, S. Sreenadh. Peristaltic transport of a casson fluid in a channel with permeable walls. International Journal of Pure and Applied Mathematics, Vol. 90, 2014, pp. 11-24.
[2]
K. Das. Effect of slip and heat transfer on MHD peristaltic flow in an inclined a symmetric channel. Iranian Journal of Mathematical Sciences and Informatics. Vol. 7, 2012, pp. 35-52.
[3]
Alexandr A. A. and Zudin B. Y. Inertial-thermal governed vapour bubble growth in highly superheated liquid. Heat Mass Transfer, Vol. 41, 2005, pp. 855-863.
[4]
Batchelor G. K. The theory of Homogeneous turbulence. Cambridge University Press, London, 1959.
[5]
Haar L., Callagher J. S., Kell G. S. NBS/NRV, Steam tables, 1984.
[6]
Misra, J. C. and Pandey, S. K. “Peristaltic flow of a multi layered power-law fluid through a cylindrical tube”, Int. J. Engng. Sci. Vol. 39, 2001, pp. 387-402.
[7]
S. A. Mohammadein and R.A. Gad El-Rab, The growth of vapour bubbles in superheating water between two finite boundaries, Can. J. Phys, Vol. 79, 2001, pp. 1021-1029.
[8]
S. A. Mohammadein and Gorla S. R. The growth of vapor bubble and relaxation between two-phase bubble flow. Int. J. Heat and Mass transfer, Vol. 39, 2003, pp. 97-100.
[9]
Mohammadein S.A. and Gouda Sh. A. Temperature distribution in a mixture surrounding a growing vapour bubble. Int. J. Heat Mass transfer, Vol. 42, 2006, pp. 359-363.
[10]
Muthu P., B.V. Rathish Kumar, and Peeyush Chandra. Peristaltic motion of micropolar fluid in circular cylindrical tubes. Effect of wall properties Applied Mathematical Modeling, Vol. 32, 2008, pp. 2019–2033.
[11]
Prosperetti A. and Plesset M. S. Vapour bubble growth in a superheated liquid. J. Fluid Mech. Vol. 85, 1978, pp. 349-360.
[12]
Vasudev C., Rajeswara Rao U., Prabhakara Rao G. and M. V. Subba Reddy. Peristaltic flow of a Newtonian fluid through a porous medium in a vertical tube under the effect of a magnetic field. Int. J. Curr. Scie. Rese. Vol. 3, 2011, pp. 105-110.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186