Exact solution of fin problem with linear temperature-dependent thermal conductivity

DOI10.17512/JAMCM.2016.4.06OpenAlexW2564797926MaRDI QIDQ2659384

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

Publication date: 26 March 2021

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2016.4.06

zbMATH Keywords

exact solutionthermal conductivityfin efficiencyfin equation

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Uses Software

• DLMF

Cites Work

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• Comparative analysis of power-law fin-type problems using variational iteration method and finite element method
• Residue minimization technique to analyze the efficiency of convective straight fins having temperature-dependent thermal conductivity
• A study on nonlinear wet fin problem using homotopy analysis method
• A decomposition method for solving the convective longitudinal fins with variable thermal conductivity
• Optimal homotopy asymptotic method for convective-radiative cooling of a lumped system, and convective straight fin with temperature-dependent thermal conductivity
• Noether, partial Noether operators and first integrals for a linear system
• General exact solution of the fin problem with the power law temperature-dependent thermal conductivity
• Inverse analysis of conductive-convective wet triangular fin for predicting thermal properties and fin dimensions
• Partial Noether operators and first integrals via partial Lagrangians

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