Growth of a vapour bubble in a viscous, superheated liquid in two-phase flow
Creators
- 1. Tanta Univ., Faculty of Science, Dept. of Mathematics, Tanta (Egypt)
- 2. King Khalid Univ., Faculty of Science, Dept. of Mathematics, Abha (Saudi Arabia)
- 3. Benha Univ., Faculty of Science, Dept. of Mathematics, Benha (Egypt)
Description
This paper presents the growth of a vapour bubble in a viscous, superheated liquid. The problem is solved analytically using the Plesset and Zwick method after modifying the pressure difference to include a multiple quantity of the initial pressure difference, its coefficient b giving the necessary condition for the growth process. Relations between the initial and final times in terms of the given physical parameters are derived. The bubble radius is proportional to the thermal diffusivity, the initial pressure difference and its coefficient, while it is inversely proportional to the surface tension, the dynamic viscosity, and the initial void fraction. Moreover, for b = 1 x 10-2, better agreement is achieved to some experimental data than some previous theoretical works, for the initial superheated conditions at 2.1, 3.1, and 4.5 K. (author)
Availability note (English)
Available from doi: https://doi.org/10.1139/cjp-2014-0117Additional details
Identifiers
Publishing Information
- Journal Title
- Canadian Journal of Physics
- Journal Volume
- 93
- Journal Issue
- 7
- Journal Page Range
- p. 769-775
- ISSN
- 0008-4204
INIS
- Country of Publication
- Canada
- Country of Input or Organization
- Canada
- INIS RN
- 50027571
- Subject category
- S42: ENGINEERING;
- Descriptors DEI
- ANALYTICAL SOLUTION; BUBBLE GROWTH; SUPERHEATING; TWO-PHASE FLOW; VISCOUS FLOW
- Descriptors DEC
- FLUID FLOW; HEATING; MATHEMATICAL SOLUTIONS
Optional Information
- Notes
- 26 refs., 1 tab., 10 figs.