Effect of inclined magnetic field on natural convection melting in a square cavity with a local heat source

Nadezhda S. Bondareva, Mikhail A. Sheremet

Research output: Contribution to journalArticle

39 Citations (Scopus)


MHD natural convection melting in a square cavity with a local heater has been analyzed numerically. The domain of interest is an enclosure bounded by isothermal vertical walls of low constant temperature and adiabatic horizontal walls. A heat source of constant temperature is located on the bottom wall. An inclined uniform magnetic field affects the natural convective heat transfer and fluid flow inside the melt. The governing equations formulated in dimensionless stream function, vorticity and temperature with corresponding initial and boundary conditions have been solved using implicit finite difference method of the second-order accuracy. The effects of the Rayleigh number, Stefan number, Hartmann number, magnetic field inclination angle and dimensionless time on streamlines, isotherms and Nusselt number at the heat source surface have been analyzed.

Original languageEnglish
Pages (from-to)476-484
Number of pages9
JournalJournal of Magnetism and Magnetic Materials
Publication statusPublished - 1 Dec 2016



  • Heat source
  • Magnetic field
  • Melting
  • Natural convection
  • Numerical results
  • Square cavity

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this