Conduction, convection, and radiation in a closed cavity with a local radiant heater

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1 Citation (Scopus)

Abstract

This study deals with the numerical investigation of combined heat transfer via conduction, laminar natural convection, and surface radiation in a closed rectangular cavity with a radiant heating source. Unsteady two-dimensional equations of mass, momentum, and energy conservation for complex heat transfer process under study were formulated in terms of the vorticity - stream function - temperature variables and solved by means of the finite difference method on a uniform grid. Developed numerical code was validated against two benchmark problems of convective and convective-radiative heat transfer. When analyzing complex heat transfer regularities, we varied the following parameters: dimensionless time 5 ≤τ ≤800, Rayleigh number 6·104≤ Ra≤4·106, conduction-radiation number 19.71 ≤ Nr ≤ 78.84, surface emissivity 0.2 ≤ε ≤ 0.9, emitter length 0.1≤ D ≤1, walls thickness 0.05≤ M ≤0.25. According to the results of mathematical modelling, it was found that the radiant parameters significantly affected the formation of differential and integral characteristics of conjugate heat transfer. Along with that the convective Nusselt number was slightly changed in geometrical and physical conditions under study. An increase in the walls thickness led to a reduce in the temperature of the air cavity. However, the effect of wall thickness on the convective and radiative Nusselt numbers was not significant.

Original languageEnglish
Article number26
JournalFrontiers in Heat and Mass Transfer
Volume10
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

heaters
convection
heat transfer
Heat transfer
Radiation
conduction
cavities
radiation
Nusselt number
conservation
radiant heating
radiative heat transfer
Radiant heating
convective heat transfer
energy conservation
Rayleigh number
emissivity
regularity
free convection
vorticity

Keywords

  • Conjugate heat transfer
  • Finite difference method
  • Numerical simulation
  • Radiant heating
  • Surface radiation

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

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abstract = "This study deals with the numerical investigation of combined heat transfer via conduction, laminar natural convection, and surface radiation in a closed rectangular cavity with a radiant heating source. Unsteady two-dimensional equations of mass, momentum, and energy conservation for complex heat transfer process under study were formulated in terms of the vorticity - stream function - temperature variables and solved by means of the finite difference method on a uniform grid. Developed numerical code was validated against two benchmark problems of convective and convective-radiative heat transfer. When analyzing complex heat transfer regularities, we varied the following parameters: dimensionless time 5 ≤τ ≤800, Rayleigh number 6·104≤ Ra≤4·106, conduction-radiation number 19.71 ≤ Nr ≤ 78.84, surface emissivity 0.2 ≤ε ≤ 0.9, emitter length 0.1≤ D ≤1, walls thickness 0.05≤ M ≤0.25. According to the results of mathematical modelling, it was found that the radiant parameters significantly affected the formation of differential and integral characteristics of conjugate heat transfer. Along with that the convective Nusselt number was slightly changed in geometrical and physical conditions under study. An increase in the walls thickness led to a reduce in the temperature of the air cavity. However, the effect of wall thickness on the convective and radiative Nusselt numbers was not significant.",
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AB - This study deals with the numerical investigation of combined heat transfer via conduction, laminar natural convection, and surface radiation in a closed rectangular cavity with a radiant heating source. Unsteady two-dimensional equations of mass, momentum, and energy conservation for complex heat transfer process under study were formulated in terms of the vorticity - stream function - temperature variables and solved by means of the finite difference method on a uniform grid. Developed numerical code was validated against two benchmark problems of convective and convective-radiative heat transfer. When analyzing complex heat transfer regularities, we varied the following parameters: dimensionless time 5 ≤τ ≤800, Rayleigh number 6·104≤ Ra≤4·106, conduction-radiation number 19.71 ≤ Nr ≤ 78.84, surface emissivity 0.2 ≤ε ≤ 0.9, emitter length 0.1≤ D ≤1, walls thickness 0.05≤ M ≤0.25. According to the results of mathematical modelling, it was found that the radiant parameters significantly affected the formation of differential and integral characteristics of conjugate heat transfer. Along with that the convective Nusselt number was slightly changed in geometrical and physical conditions under study. An increase in the walls thickness led to a reduce in the temperature of the air cavity. However, the effect of wall thickness on the convective and radiative Nusselt numbers was not significant.

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