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

Conway Li; Brendan Florio; Neville Fowkes; Miccal Matthews

doi:10.1016/j.padiff.2024.101009

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

Journal article

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

Conway Li, Brendan Florio, Neville Fowkes and Miccal Matthews

Partial Differential Equations in Applied Mathematics, Vol.12, 101009

2024

DOI: https://doi.org/10.1016/j.padiff.2024.101009

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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.

Details

Title: Exact solutions of line-source conduction–radiation problems via boundary tracing
Authors/Creators: Conway Li - Level (Czechia)
Brendan Florio - Murdoch University, School of Mathematics, Statistics, Chemistry and Physics
Neville Fowkes - The University of Western Australia
Miccal Matthews
Publication Details: Partial Differential Equations in Applied Mathematics, Vol.12, 101009
Publisher: Elsevier B.V.
Identifiers: 991005722469407891
Murdoch Affiliation: School of Mathematics, Statistics, Chemistry and Physics
Resource Type: Journal article

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