Growth of a Vapour Bubble in a Superheated Liquid of Variable Surface Tension and Viscosity Between Two-phase Flow

Authors

S. A. Mohammadein, Department of Mathematics, Faculty of Science, Tanta University, Tanta, EgyptFollow
K. G. Mohamed

Author Country (or Countries)

Egypt

Abstract

The growth of a vapour bubble in a superheated liquid of variable surface tension and viscosity between two finite boundaries is introduced. The problem is solved analytically using the modified method of Plesset and Zwick method. The pressure difference is described in terms of temperature difference and initial pressure difference. The surface tension, viscosity, and initial and final time of bubble growth are derived in terms of some physical parameters. The growth of bubble radius is proportional to the thermal diffusivity, the initial pressure difference and its coefficient. On contrary the growth is inversely proportional to the initial void fraction and the density ratio. Moreover, better agreements with some experimental data are achieved rather than some of previous theoretical efforts.

Suggested Reviewers

N/A

Recommended Citation

A. Mohammadein, S. and G. Mohamed, K. (2013) "Growth of a Vapour Bubble in a Superheated Liquid of Variable Surface Tension and Viscosity Between Two-phase Flow," Applied Mathematics & Information Sciences: Vol. 07: Iss. 6, Article 22.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss6/22