Mathematical simulation of melting inside a square cavity with a local heat source

N. S. Bondareva, M. A. Sheremet

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


Numerical simulation of transient melting regimes inside an enclosure in the presence of a local heat source has been carried out. Mathematical model formulated in terms of dimensionless variables such as stream function, vorticity, and temperature has been numerically solved by finite difference method. Effects of the Rayleigh number 4·105 ≤ Ra ≤ 5·107, Stefan number 2.21 ≤ Ste ≤ 5.53, and dimensionless time on velocity and temperature fields as well as on the local Nusselt number along the heat source surface have been analyzed in detail. The transient effects of the considered process at high values of the Rayleigh number have been identified.

Original languageEnglish
Pages (from-to)553-565
Number of pages13
JournalThermophysics and Aeromechanics
Issue number4
Publication statusPublished - 1 Jul 2016


  • Boussinesq approximation
  • heat conduction
  • laminar regime
  • melting
  • natural convection
  • numerical simulation

ASJC Scopus subject areas

  • Radiation
  • Nuclear and High Energy Physics

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