Conservation laws and associated Lie point symmetries admitted by the transient heat conduction problem for heat transfer in straight fins

• Autorzy: Partner Ndlovu , Rasselo Moitsheki
• Języki publikacji: EN

Abstrakty

EN

Some new conservation laws for the transient heat conduction problem for heat transfer in a straight fin are constructed. The thermal conductivity is given by a power law in one case and by a linear function of temperature in the other. Conservation laws are derived using the direct method when thermal conductivity is given by the power law and the multiplier method when thermal conductivity is given as a linear function of temperature. The heat transfer coefficient is assumed to be given by the power law function of temperature. Furthermore, we determine the Lie point symmetries associated with the conserved vectors for the model with power law thermal conductivity.

Słowa kluczowe

EN

fins; heat transfer; conservation laws; multiplier method; direct method; Lie point symmetries; exact solutions

• Czasopismo: Open Physics
• Rocznik: 2013
• Tom: 11
• Numer: 8
• Strony: 984-994

Daty

wydano

2013-08-01

online

2013-10-23

Twórcy

autor

Partner Ndlovu

• Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, Johannesburg, University of the Witwatersrand, Private Bag 3, Wits, 2050, South Africa,

autor

Rasselo Moitsheki

• Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, Johannesburg, University of the Witwatersrand, Private Bag 3, Wits, 2050, South Africa,

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Identyfikatory

DOI

10.2478/s11534-013-0306-1