Steady one-dimensional heat flow in a longitudinal triangular and parabolic fin

DOI10.1016/j.cnsns.2011.01.010zbMath1229.34043OpenAlexW2092812979MaRDI QIDQ634219

Raseelo J. Moitsheki

Publication date: 2 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.01.010

zbMATH Keywords

heat transferexact solutionslongitudinal finnonlinear thermal conductivity and heat transfer coefficient

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Applications of boundary value problems involving ordinary differential equations (34B60) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (5)

Asymptotic and dynamical analyses of heat transfer through a rectangular longitudinal fin ⋮ Analytical solutions for steady heat transfer in longitudinal fins with temperature-dependent properties ⋮ Comparison of exact solutions for heat transfer in extended surfaces of different geometries ⋮ A Lie symmetry classification of a nonlinear fin equation in cylindrical coordinates ⋮ A conservation law for a generalized chemical Fisher equation

Cites Work

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• Steady heat transfer through a radial fin with rectangular and hyperbolic profiles
• 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
• Symmetry and integration methods for differential equations
• Symmetry group classification of ordinary differential equations: Survey of some results
• Symmetries and differential equations

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