A numerical well-balanced scheme for one-dimensional heat transfer in longitudinal triangular fins

DOI10.1155/2013/609536zbMath1299.80017OpenAlexW2022844624WikidataQ59030955 ScholiaQ59030955MaRDI QIDQ473883

Charis Harley, Innocent Rusagara

Publication date: 24 November 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/609536

Mathematics Subject Classification ID

Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods applied to problems in thermodynamics and heat transfer (80M12)

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Cites Work

• Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity
• Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient
• Heat transfer from a horizontal fin array by natural convection and radiation-A conjugate analysis
• Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
• Global \textbf{BV} entropy solutions and uniqueness for hyperbolic systems of balance laws