Published July 2015 | Version v1
Journal article

Growth of a vapour bubble in a viscous, superheated liquid in two-phase flow

  • 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-2014-0117

Additional 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.