The Peristaltic Motion inside a Vertical Cylindrical Tube Surrounded Vapour Bubble with Two-Phase Density Flow
Advances in Bioscience and Bioengineering
Volume 5, Issue 4, August 2017, Pages: 71-77
Received: Mar. 21, 2017;
Accepted: Apr. 19, 2017;
Published: Oct. 19, 2017
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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
G. A. Shalaby, Department of Mathematics, Faculty of Science, Menoufia University, Shebin El-Koom, Egypt
The paper presents the growth of vapour bubble in a viscous, superheated liquid. The growth of vapour bubble between two-phase density flow in a vertical cylindrical tube under the effect of peristaltic motion of long wavelength and low Reynolds number is studied. The mathematical model is formulated by mass, momentum, and heat equations. The analytical solution is obtained for temperature and velocity distribution under the effect of different physical parameters. The growth process is studied under the affected of density ratio ε and amplitude ratio e. Moreover, the relation between the bubble radius R with the density ratio E, and amplitude ratio eare obtained. Theseresults agreement with some previous theoretical efforts.
S. A. Mohammadein,
A. K. Abu-Nab,
G. A. Shalaby,
The Peristaltic Motion inside a Vertical Cylindrical Tube Surrounded Vapour Bubble with Two-Phase Density Flow, Advances in Bioscience and Bioengineering.
Vol. 5, No. 4,
2017, pp. 71-77.
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