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

31 Citations (Scopus)

Abstract

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
Volume419
DOIs
Publication statusPublished - 1 Dec 2016

Fingerprint

heat sources
Natural convection
free convection
Melting
melting
Magnetic fields
cavities
magnetic fields
Hartmann number
convective heat transfer
Rayleigh number
Nusselt number
Magnetohydrodynamics
enclosure
Vorticity
Enclosures
heaters
Finite difference method
vorticity
Temperature

Keywords

  • 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

Effect of inclined magnetic field on natural convection melting in a square cavity with a local heat source. / Bondareva, Nadezhda S.; Sheremet, Mikhail A.

In: Journal of Magnetism and Magnetic Materials, Vol. 419, 01.12.2016, p. 476-484.

Research output: Contribution to journalArticle

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