Transient coupled radiative and conductive heat transfer in a semitransparent layer of ceramic

Abstract This work considers transient radiative and conductive heat transfer in a semitransparent layer of ceramic, submitted to several thermal and radiative boundary conditions. Each side of the layer is exposed to hot or cold radiative surroundings, while each boundary is heated or cooled by convection. The solution procedure must provide accurate temperature distribution in the layer, so a nodal analysis based on Hottel's zonal method extended by ray tracing method is carried out. A finite difference method with non-uniform space and time increments is used to solve the transient energy equation, including a radiative heat source, coupled to a equation of radiative transfer. Variable spacing was used to concentrate grid points in regions with large temperature gradients. The influence of refractive index, optical thicknesses and conduction–radiation parameters is investigated.

[1]  K. Weston,et al.  Unsteady, Combined Radiation and Conduction in an Absorbing, Scattering, and Emitting Medium , 1973 .

[2]  M. N. Özişik,et al.  Combined conduction and radiation with flux boundary condition for a semi-transparent medium covered by thin radiating layers , 1987 .

[3]  R. Siegel,et al.  Refractive index and scattering effects on radiative behavior of a semitransparent layer , 1993 .

[4]  V. A. Petrov,et al.  Combined radiation and conduction heat transfer in high temperature fiber thermal insulation , 1997 .

[5]  R. Gardon,et al.  Interaction of Radiation and Conduction in Glass , 1969 .

[6]  R. Viskanta,et al.  Heat Transfer through Irradiated, Semi-transparent Layers at High Temperature , 1980 .

[7]  H. F. Machali.  Radiative transfer in participating media under conditions of radiative equilibrium , 1995 .

[8]  W. H. Sutton,et al.  A Short Time Solution for Coupled Conduction and Radiation in a Participating Slab Geometry , 1986 .

[9]  R. Siegel,et al.  Finite difference solution for transient radiative cooling of a conducting semitransparent square region , 1992 .

[10]  Radiative transfer in a participating slab with anisotropic scattering and general boundary conditions , 1995 .

[11]  R. Hering,et al.  Transient Combined Conductive and Radiative Heat Transfer , 1972 .

[12]  S. Baek,et al.  TRANSIENT COOLING OF A FINITE CYLINDRICAL MEDIUM IN THE RAREFIED COLD ENVIRONMENT , 1993 .

[13]  R. Siegel,et al.  Refractive Index and Scattering Effects on Radiation in a Semitransparent Laminated Layer , 1994 .

[14]  M. Pinar Mengüç,et al.  Thermal Radiation Heat Transfer , 2020 .

[15]  H. Tan,et al.  Transient coupled radiative and conductive heat transfer in an absorbing, emitting and scattering medium , 1999 .

[16]  Jenn-Der Lin,et al.  Transient combined conduction and radiation with anisotropic scattering , 1990 .