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

被引:13
|
作者
Mohammadein, S. A. [1 ]
Mohamed, K. G. [2 ]
机构
[1] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt
[2] Benha Univ, Fac Sci, Dept Math, Banha, Egypt
来源
APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 06期
关键词
vapour bubble growth; void fraction; variable surface tension; variable viscosity; superheated liquid; GAS BUBBLE; DYNAMICS;
D O I
10.12785/amis/070622
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
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页码:2311 / 2318
页数:8
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