General exact solution of the fin problem with the power law temperature-dependent thermal conductivity

DOI10.1002/mma.3585zbMath1338.34007OpenAlexW1940474136MaRDI QIDQ2804398

H. M. Nour, Abass H. Abdel Kader, Mohamed S. Abdel Latif

Publication date: 29 April 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3585

zbMATH Keywords

exact solutionheat transferthermal conductivityLie point symmetryfin efficiency

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

Exact solution of fin problem with linear temperature-dependent thermal conductivity ⋮ A note on the \(\exp (-\varphi (z))\) expansion method ⋮ Optimum design and performance analyses of convective-radiative cooling fin under the influence of magnetic field using finite element method

Uses Software

• DLMF

Cites Work

• Analytical solutions for steady heat transfer in longitudinal fins with temperature-dependent properties
• Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity
• A decomposition solution for fins with temperature-dependent surface heat flux
• Unnamed Item

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