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 language | English |
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Article number | 101009 |
Number of pages | 11 |
Journal | Partial Differential Equations in Applied Mathematics |
Volume | 12 |
Early online date | 3 Dec 2024 |
DOIs | |
Publication status | Published - Dec 2024 |