NUMERICAL METHOD FOR SPHERICAL BUBBLE GROWTH IN SUPERHEATED LIQUIDS

2010 ◽  
Vol 2 (1) ◽  
pp. 19-31 ◽  
Author(s):  
Anthony J. Robinson ◽  
Frederic Lesage ◽  
Ross L. Judd
Keyword(s):  
Numerical Method ◽  
Bubble Growth ◽  
Spherical Bubble ◽  
Superheated Liquids

A model for non-spherical bubble growth at a single orifice

1986 ◽  
Vol 41 (12) ◽  
pp. 3175-3182 ◽  
Author(s):  
Reginald B.H. Tan ◽  
Iestyn J. Harris
Keyword(s):  
Bubble Growth ◽  
Spherical Bubble

Spherical Bubble Growth

1958 ◽  
Vol 1 (3) ◽  
pp. 201 ◽  
Author(s):  
G. Birkhoff ◽  
R. S. Margulies ◽  
W. A. Horning
Keyword(s):  
Bubble Growth ◽  
Spherical Bubble

Dynamics of Spherical Bubble Growth

2002 ◽  
Vol 38 (5) ◽  
pp. 403-419 ◽  
Author(s):  
Vivek Pai ◽  
Moshe Favelukis
Keyword(s):  
Bubble Growth ◽  
Spherical Bubble

The dynamics of spherical bubble growth

2004 ◽  
Vol 47 (23) ◽  
pp. 5101-5113 ◽  
Author(s):  
A.J. Robinson ◽  
R.L. Judd
Keyword(s):  
Bubble Growth ◽  
Spherical Bubble

Numerical Solution for the Spherical Bubble Growth Problem in a Uniformly Ultraheated Liquid

1977 ◽  
Vol 19 (3) ◽  
pp. 101-107 ◽  
Author(s):  
T. Saitoh ◽  
A. Shima
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Bubble Growth ◽  
Growth Conditions ◽  
Heat Diffusion ◽  
Controlled Growth ◽  
Spherical Bubble ◽  
Diffusion Controlled ◽  
Wide Range ◽  
Growth Problem

A multi-point, implicit-type, finite-difference method for solving the bubble growth (or collapse) problem in an ultraheated liquid is proposed. The method is applicable to both inertia-controlled growth and heat-diffusion-controlled growth. The results are compared with several asymptotic solutions, involving Plesset-Zwick and Mikic-Rohsenow-Griffith solutions. Present results strongly support the Mikic-Rohsenow-Griffith solution for the wide range of bubble growth conditions, e.g. given fluids, pressure, liquid ultraheat, etc.

scholarly journals The history effect on bubble growth and dissolution. Part 2. Experiments and simulations of a spherical bubble attached to a horizontal flat plate

2017 ◽  
Vol 820 ◽  
pp. 479-510 ◽  
Author(s):  
Pablo Peñas-López ◽  
Álvaro Moreno Soto ◽  
Miguel A. Parrales ◽  
Devaraj van der Meer ◽  
Detlef Lohse ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Flat Plate ◽  
Bubble Growth ◽  
Numerical Study ◽  
Bubble Radius ◽  
Mass Transfer Rate ◽  
Theoretical Treatment ◽  
Local Concentration ◽  
Spherical Bubble ◽  
History Effect

The accurate description of the growth or dissolution dynamics of a soluble gas bubble in a super- or undersaturated solution requires taking into account a number of physical effects that contribute to the instantaneous mass transfer rate. One of these effects is the so-called history effect. It refers to the contribution of the local concentration boundary layer around the bubble that has developed from past mass transfer events between the bubble and liquid surroundings. In Part 1 of this work (Peñas-López et al., J. Fluid Mech., vol. 800, 2016b, pp. 180–212), a theoretical treatment of this effect was given for a spherical, isolated bubble. Here, Part 2 provides an experimental and numerical study of the history effect regarding a spherical bubble attached to a horizontal flat plate and in the presence of gravity. The simulation technique developed in this paper is based on a streamfunction–vorticity formulation that may be applied to other flows where bubbles or drops exchange mass in the presence of a gravity field. Using this numerical tool, simulations are performed for the same conditions used in the experiments, in which the bubble is exposed to subsequent growth and dissolution stages, using stepwise variations in the ambient pressure. Besides proving the relevance of the history effect, the simulations highlight the importance that boundary-induced advection has to accurately describe bubble growth and shrinkage, i.e. the bubble radius evolution. In addition, natural convection has a significant influence that shows up in the velocity field even at short times, although given the supersaturation conditions studied here, the bubble evolution is expected to be mainly diffusive.

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