Exact solutions of line-source conduction–radiation problems via boundary tracing
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 doma...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124003954 |
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| author | Conway Li Brendan J. Florio Neville Fowkes Miccal Matthews |
| author_facet | Conway Li Brendan J. Florio Neville Fowkes Miccal Matthews |
| author_sort | Conway Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6cd726dca12e44fd83c4cf9826e99ab7 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-6cd726dca12e44fd83c4cf9826e99ab72024-12-13T11:05:58ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-0112101009Exact solutions of line-source conduction–radiation problems via boundary tracingConway Li0Brendan J. Florio1Neville Fowkes2Miccal Matthews3RGB Assurance, Perth, WA 6000, AustraliaSchool of Mathematics, Statistics, Chemistry and Physics, Murdoch University, WA 6150, Australia; Corresponding author.Department of Mathematics and Statistics, The University of Western Australia, WA 6009, AustraliaDepartment of Mathematics and Statistics, The University of Western Australia, WA 6009, AustraliaBoundary 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.http://www.sciencedirect.com/science/article/pii/S2666818124003954Boundary tracingExact solutionsFlux conditionsThermal radiation |
| spellingShingle | Conway Li Brendan J. Florio Neville Fowkes Miccal Matthews Exact solutions of line-source conduction–radiation problems via boundary tracing Partial Differential Equations in Applied Mathematics Boundary tracing Exact solutions Flux conditions Thermal radiation |
| title | Exact solutions of line-source conduction–radiation problems via boundary tracing |
| title_full | Exact solutions of line-source conduction–radiation problems via boundary tracing |
| title_fullStr | Exact solutions of line-source conduction–radiation problems via boundary tracing |
| title_full_unstemmed | Exact solutions of line-source conduction–radiation problems via boundary tracing |
| title_short | Exact solutions of line-source conduction–radiation problems via boundary tracing |
| title_sort | exact solutions of line source conduction radiation problems via boundary tracing |
| topic | Boundary tracing Exact solutions Flux conditions Thermal radiation |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124003954 |
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