Pseudo-steady state solutions for solidification in a wedge


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).

Download

Full text not available from this repository.

Description/Abstract

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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1093/imamat/60.2.109
ISSNs: 0272-4960 (print)
Related URLs:
Subjects:
ePrint ID: 29342
Date :
Date Event
1998Published
Date Deposited: 13 Mar 2007
Last Modified: 16 Apr 2017 22:23
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/29342

Actions (login required)

View Item View Item