Exact solutions of line-source conduction–radiation problems via boundary tracing

Conway Li, Brendan J. Florio, Neville Fowkes, Miccal Matthews

Research output: Contribution to journalArticlepeer-review

Abstract

Boundary tracing is a technique whereby exact solutions to boundary value problems in known domains are used to generate alternate domains admitting the same solution. Here we use line-source solutions of Laplace's equation to produce exact solutions to the conduction–radiation problem in novel domains, such as circular regions with protrusions and teardrop-shaped regions with short or long tails. The shapes and sizes obtained are practical and could be used for novel radiator design.

Original languageEnglish
Article number101009
Number of pages11
JournalPartial Differential Equations in Applied Mathematics
Volume12
Early online date3 Dec 2024
DOIs
Publication statusPublished - Dec 2024

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