The University of Southampton
University of Southampton Institutional Repository

Slow growth of an isolated disk-shaped bubble of constant eccentricity in the presence of a distributed gas source

Gardiner, B.S., Boudreau, B.P. and Johnson, B.D. (2003) Slow growth of an isolated disk-shaped bubble of constant eccentricity in the presence of a distributed gas source Applied Mathematical Modelling, 27, (10), pp. 817-829. (doi:10.1016/S0307-904X(03)00086-6).

Record type: Article


In this paper we consider the diffusion-controlled (small Péclet number) growth of an isolated, oblate-spheroidal (disk-shaped) bubble of constant eccentricity (aspect ratio) in a medium that actively produces the volatile substance via a distributed source, but does not itself offer significant resistance to growth. Oblate spheroidal bubbles are predicted to grow faster than spherical ones, due to the higher surface area to volume ratio; yet, bubbles of all eccentricities grow proportionally to the square root of time, as expected for a diffusive process. In the presence of a distributed source, however, the growth time becomes dependent on the square-root of the source strength, in the limit as the boundary forcing, i.e., the degree of super-saturation, becomes negligible. Furthermore, we demonstrate that the previously known spherical solution is contained within the more general spheroidal solution. In addition, we produced new expression to describe the growth of a disk in terms of the evolution of the radius of a volume-equivalent sphere and another simple expression relating the growth time of a disk to that of a sphere.

Full text not available from this repository.

More information

Published date: 2003


Local EPrints ID: 1373
ISSN: 0307-904X
PURE UUID: bd3aa2cf-8c99-4907-a41a-96daf92ce318

Catalogue record

Date deposited: 06 May 2004
Last modified: 17 Jul 2017 17:16

Export record



Author: B.S. Gardiner
Author: B.P. Boudreau
Author: B.D. Johnson

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.