The University of Southampton
University of Southampton Institutional Repository

Pseudo-steady state solutions for solidification in a wedge

Record type: Article

Polubarinova-Kochina's analytical differential equation method is used to determine the pseudo-steady-state solution to problems involving the freezing (solidification) of wedges of liquid which are initially at their fusion temperature. In particular, we consider four distinct problems for wedges which are: freezing with the same constant boundary temperature, freezing with the same constant boundary heat fluxes, freezing with distinct constant boundary temperatures and freezing with distinct constant fluxes at the boundaries. For the last two problems, a Heun's differential equation with an unknown singularity is derived, which in both cases admits a particularly elegant simple solution for the special case when the wedge angle is ?. The moving boundaries obtained are shown pictorially.

Full text not available from this repository.

Citation

Hoang, H.V., Hill, J.M. and Dewynne, J.N. (1998) Pseudo-steady state solutions for solidification in a wedge IMA Journal of Applied Mathematics, 60, (2), pp. 109-121. (doi:10.1093/imamat/60.2.109).

More information

Published date: 1998

Identifiers

Local EPrints ID: 29342
URI: http://eprints.soton.ac.uk/id/eprint/29342
ISSN: 0272-4960
PURE UUID: aa2114fd-8540-4e39-9a9d-04ba1c4c1141

Catalogue record

Date deposited: 13 Mar 2007
Last modified: 17 Jul 2017 15:58

Export record

Altmetrics

Contributors

Author: H.V. Hoang
Author: J.M. Hill
Author: J.N. Dewynne

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.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

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.

×