Natural convection heat transfer combined with melting process in a cubical cavity under the effects of uniform inclined magnetic field and local heat source

Nadezhda S. Bondareva, Mikhail A. Sheremet

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Natural convective heat transfer combined with melting in a cubical cavity filled with a pure gallium under the effects of inclined uniform magnetic field and local heater has been studied numerically. The domain of interest is an enclosure bounded by two isothermal opposite vertical surfaces of low constant temperature and adiabatic other walls. A heat source of constant temperature is located on the bottom wall. An inclined uniform magnetic field affects the melting process inside the cavity. The governing equations formulated in dimensionless vector potential functions, vorticity vector 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 Hartmann number, magnetic field inclination angle and dimensionless time on streamlines, isotherms, profiles of temperature and velocity as well as mean Nusselt number at the heat source surface have been analyzed. The obtained results revealed that a growth of magnetic field intensity reflects the convective flow suppression and heat transfer rate reduction. High values of Hartmann number homogenize the liquid flow and heat transfer inside the melting zone.

Original languageEnglish
Pages (from-to)1057-1067
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Volume108
DOIs
Publication statusPublished - 1 May 2017

Fingerprint

heat sources
Natural convection
free convection
Melting
heat transfer
melting
Magnetic fields
Heat transfer
Hartmann number
cavities
magnetic fields
Zone melting
Temperature
zone melting
Gallium
temperature
convective flow
liquid flow
convective heat transfer
Nusselt number

Keywords

  • Cubical cavity
  • Heat source
  • Melting
  • Natural convection
  • Numerical results
  • Uniform magnetic field
  • Vector potential functions

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

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title = "Natural convection heat transfer combined with melting process in a cubical cavity under the effects of uniform inclined magnetic field and local heat source",
abstract = "Natural convective heat transfer combined with melting in a cubical cavity filled with a pure gallium under the effects of inclined uniform magnetic field and local heater has been studied numerically. The domain of interest is an enclosure bounded by two isothermal opposite vertical surfaces of low constant temperature and adiabatic other walls. A heat source of constant temperature is located on the bottom wall. An inclined uniform magnetic field affects the melting process inside the cavity. The governing equations formulated in dimensionless vector potential functions, vorticity vector 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 Hartmann number, magnetic field inclination angle and dimensionless time on streamlines, isotherms, profiles of temperature and velocity as well as mean Nusselt number at the heat source surface have been analyzed. The obtained results revealed that a growth of magnetic field intensity reflects the convective flow suppression and heat transfer rate reduction. High values of Hartmann number homogenize the liquid flow and heat transfer inside the melting zone.",
keywords = "Cubical cavity, Heat source, Melting, Natural convection, Numerical results, Uniform magnetic field, Vector potential functions",
author = "Bondareva, {Nadezhda S.} and Sheremet, {Mikhail A.}",
year = "2017",
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AU - Bondareva, Nadezhda S.

AU - Sheremet, Mikhail A.

PY - 2017/5/1

Y1 - 2017/5/1

N2 - Natural convective heat transfer combined with melting in a cubical cavity filled with a pure gallium under the effects of inclined uniform magnetic field and local heater has been studied numerically. The domain of interest is an enclosure bounded by two isothermal opposite vertical surfaces of low constant temperature and adiabatic other walls. A heat source of constant temperature is located on the bottom wall. An inclined uniform magnetic field affects the melting process inside the cavity. The governing equations formulated in dimensionless vector potential functions, vorticity vector 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 Hartmann number, magnetic field inclination angle and dimensionless time on streamlines, isotherms, profiles of temperature and velocity as well as mean Nusselt number at the heat source surface have been analyzed. The obtained results revealed that a growth of magnetic field intensity reflects the convective flow suppression and heat transfer rate reduction. High values of Hartmann number homogenize the liquid flow and heat transfer inside the melting zone.

AB - Natural convective heat transfer combined with melting in a cubical cavity filled with a pure gallium under the effects of inclined uniform magnetic field and local heater has been studied numerically. The domain of interest is an enclosure bounded by two isothermal opposite vertical surfaces of low constant temperature and adiabatic other walls. A heat source of constant temperature is located on the bottom wall. An inclined uniform magnetic field affects the melting process inside the cavity. The governing equations formulated in dimensionless vector potential functions, vorticity vector 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 Hartmann number, magnetic field inclination angle and dimensionless time on streamlines, isotherms, profiles of temperature and velocity as well as mean Nusselt number at the heat source surface have been analyzed. The obtained results revealed that a growth of magnetic field intensity reflects the convective flow suppression and heat transfer rate reduction. High values of Hartmann number homogenize the liquid flow and heat transfer inside the melting zone.

KW - Cubical cavity

KW - Heat source

KW - Melting

KW - Natural convection

KW - Numerical results

KW - Uniform magnetic field

KW - Vector potential functions

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