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Journal Articles

Symmetry Criteria for the Equality of Interior and Exterior Shape Factors With Exact Solutions

Kyle I. McKee, John H. Lienhard
Journal: ASME Journal of Heat and Mass Transfer
Publisher: ASME
Article Type: Research-Article
J. Heat Mass Transfer. November 2024, 146(11): 111401.
Paper No: HT-24-1089
https://doi.org/10.1115/1.4065741
Published Online: July 4, 2024
...Kyle I. McKee; John H. Lienhard Lienhard (2019, “Exterior Shape Factors From Interior Shape Factors,” ASME J. Heat Mass Transfer-Trans. ASME, 141 (6), p. 061301) reported that the shape factor of the interior of a simply-connected region (Ω) is equal to that of its exterior ( ℝ 2 \Ω) under the same...
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Topics: Shapes
Journal Articles

Steady Two-Dimensional Conduction: Simple and Double Layer Potentials, Corner Singularities, and Induced Heat Flux

John H. Lienhard, V
Journal: ASME Journal of Heat and Mass Transfer
Publisher: ASME
Article Type: Research-Article
J. Heat Mass Transfer. March 2023, 145(3): 031401.
Paper No: HT-22-1395
https://doi.org/10.1115/1.4055833
Published Online: December 9, 2022
... to the boundary is equal to that for the interior region, despite the asymmetry and singularity of the boundary heat flux distributions. In this study, classical potential theory is used for the temperature and heat flux distributions as a combination of simple-layer and double-layer potentials, including...
View Article titled, Steady Two-Dimensional Conduction: Simple and Double Layer Potentials, Corner Singularities, and Induced Heat Flux
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Topics: Boundary-value problems, Corners (Structural elements), Dipoles (Electromagnetism), Disks, Finite element methods, Heat conduction, Heat flux, Shapes, Temperature, Heat