Fractional-Diffusion Solutions for Transient Local Temperature and Heat Flux

  title={Fractional-Diffusion Solutions for Transient Local Temperature and Heat Flux},
  author={Jose L. Lage},
Applying properties of the Laplace transform, the transient heat diffusion equation can be transformed into a fractional (extraordinary) differential equation. This equation can then be modified, using the Fourier Law, into a unique expression relating the local value of the time-varying temperature (or heat flux) and the corresponding transient heat flux (or temperature). We demonstrate that the transformation into a fractional equation requires the assumption of unidirectional heat transport… CONTINUE READING
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Publications referenced by this paper.
Showing 1-6 of 6 references

Heat Transfer

A. Bejan

Mathematics for Scientists and Engineers, Prentice-Hall, Englewood Cliffs, NJ

H. Cohen

Heat Conduction, Hemisphere

S. Kakaç, Y. Yener

The Fractional Calculus

K. B. Oldham, J. Spanier
Acta Math., 81, • 1974

A General Solution of the Diffusion Equation for Semiinfinite Geometries,’

K. B. Oldham, J. Spanier
J. Math. Anal. Appl., • 1972

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