Pseudo-steady-state solutions for solidification in a wedge

Autor:	JM Hill, JN Dewynne, HV Hoang
Rok vydání:	1998
Předmět:	Fusion Boundary temperature Classical mechanics Materials science Singularity Heat flux Wedge angle Differential equation Applied Mathematics Mechanics Wedge (geometry) Pseudo steady state
Zdroj:	IMA Journal of Applied Mathematics. 60:109-121
ISSN:	1464-3634 0272-4960
DOI:	10.1093/imamat/60.2.109
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ec2b4f1ebec49a5c3ebc9d0c3368003d https://doi.org/10.1093/imamat/60.2.109 Zobrazit plný text záznamu