Near-Exact Radiating Fins via Boundary Tracing

DOI10.1137/22M1476228zbMath1497.35160OpenAlexW4288038336MaRDI QIDQ5094407

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

Publication date: 3 August 2022

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/22m1476228

zbMATH Keywords

flux boundary conditionnonlinearitythermal radiationboundary tracing

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Exact solutions of the Laplace–Young equation
• Boundary tracing and boundary value problems: I. Theory
• Boundary tracing and boundary value problems: II. Applications
• Minumum-Mass Thin Fins which Transfer Heat Only by Radiation to Surroundings at Absolute Zero
• An exact general solution for the temperature distribution and the composite radiation convection heat exchange along a constant cross-sectional area fin
• Minimum-Mass Thin Fins and Constant Temperature Gradients

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