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The Stefan solidification problem with nonmonotonic nonlinear heat diffusivity

Journal Article


Abstract

  • An exact solution is constructed for a Stefan problem with nonlinear heat diffusivity. A liquid solidifies over a semi-infinite base made of a different solid material. Both solid materials have nonlinear temperature-dependent diffusivities with a single maximum. The exactly solvable one-dimensional nonlinear models are realistic representations of a range of real materials.

UOW Authors

  •   Broadbridge, Philip (external author)

Publication Date

  • 1996

Citation

  • Broadbridge, P., & Pincombe, B. M. (1996). The Stefan solidification problem with nonmonotonic nonlinear heat diffusivity. Mathematical and Computer Modelling, 23(10), 87-98. doi:10.1016/0895-7177(96)00056-8

Scopus Eid

  • 2-s2.0-10444248818

Web Of Science Accession Number

Start Page

  • 87

End Page

  • 98

Volume

  • 23

Issue

  • 10

Place Of Publication

Abstract

  • An exact solution is constructed for a Stefan problem with nonlinear heat diffusivity. A liquid solidifies over a semi-infinite base made of a different solid material. Both solid materials have nonlinear temperature-dependent diffusivities with a single maximum. The exactly solvable one-dimensional nonlinear models are realistic representations of a range of real materials.

UOW Authors

  •   Broadbridge, Philip (external author)

Publication Date

  • 1996

Citation

  • Broadbridge, P., & Pincombe, B. M. (1996). The Stefan solidification problem with nonmonotonic nonlinear heat diffusivity. Mathematical and Computer Modelling, 23(10), 87-98. doi:10.1016/0895-7177(96)00056-8

Scopus Eid

  • 2-s2.0-10444248818

Web Of Science Accession Number

Start Page

  • 87

End Page

  • 98

Volume

  • 23

Issue

  • 10

Place Of Publication