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.
| Published in | Fluid Mechanics (Volume 2, Issue 2) |
| DOI | 10.11648/j.fm.20160202.12 |
| Page(s) | 28-32 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Heat Transfer, Two-Phase Flow, Bubbly Flow, Newtonian Fluid
| [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. |
APA Style
S. A. Mohammadein, A. K. Abu-Nab. (2016). Growth of Vapour Bubble Flow inside a Symmetric Vertical Cylindrical Tube. Fluid Mechanics, 2(2), 28-32. https://doi.org/10.11648/j.fm.20160202.12
ACS Style
S. A. Mohammadein; A. K. Abu-Nab. Growth of Vapour Bubble Flow inside a Symmetric Vertical Cylindrical Tube. Fluid Mech. 2016, 2(2), 28-32. doi: 10.11648/j.fm.20160202.12
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Download@article{10.11648/j.fm.20160202.12,
author = {S. A. Mohammadein and A. K. Abu-Nab},
title = {Growth of Vapour Bubble Flow inside a Symmetric Vertical Cylindrical Tube},
journal = {Fluid Mechanics},
volume = {2},
number = {2},
pages = {28-32},
doi = {10.11648/j.fm.20160202.12},
url = {https://doi.org/10.11648/j.fm.20160202.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20160202.12},
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.},
year = {2016}
}
TY - JOUR T1 - Growth of Vapour Bubble Flow inside a Symmetric Vertical Cylindrical Tube AU - S. A. Mohammadein AU - A. K. Abu-Nab Y1 - 2016/12/12 PY - 2016 N1 - https://doi.org/10.11648/j.fm.20160202.12 DO - 10.11648/j.fm.20160202.12 T2 - Fluid Mechanics JF - Fluid Mechanics JO - Fluid Mechanics SP - 28 EP - 32 PB - Science Publishing Group SN - 2575-1816 UR - https://doi.org/10.11648/j.fm.20160202.12 AB - 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. VL - 2 IS - 2 ER -
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