Radiative transfer in a participating slab with anisotropic scattering and general boundary conditions

Machali, H. M.; Madkour, M.A.

doi:10.1016/0022-4073(95)00103-r

Cited by 14 publications

(2 citation statements)

References 19 publications

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“…Su and Sutton [8] predicted temperatures and heat fluxes with 16 spectral bands in glass plates exposed to different boundary conditions. Machali [9], and Machali and Madkor [10], investigated the radiative transfer in a plane parallel slab of an absorbing‚ emitting, and scattering medium. The finite difference procedure was carried out by Siegel [11,12], to predict the transient temperature distribution in an STM.…”

Section: Introductionmentioning

confidence: 99%

Radiation effects on a ceramic layer

Sadooghi¹,

Aghanajafi²

2004

Radiation Effects and Defects in Solids

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The behavior of a heat-conducting‚ absorbing, and emitting layer of ceramic is considered, during transient combined conductive-radiative heat transfer. The solution includes the equation of radiative transfer within the material coupled to a transient energy equation that contains both radiative and conductive terms. It is based on nodal analysis and Hottel's zonal method extended by the ray tracing method. The transient energy equation including a radiative internal energy source is solved using a time marching finite difference procedure with variable space and time increments. The effects of the influence parameters‚ optical thicknesses, and refractive index of the layer are considered carefully.

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Section: Introductionmentioning

confidence: 99%

Radiation effects on a ceramic layer

Sadooghi¹,

Aghanajafi²

2004

Radiation Effects and Defects in Solids

View full text Add to dashboard Cite

show abstract

“…Legendre and Chebyshev polynomials both of the first kind were used as basis functions in developing a Galerkin solution of radiative transport in slab geometry [32,[34][35][36]. Also, Fourier transforms [36,37] and eigenfunctions expansions [38,39] have been implemented. It has been observed that an expansion in the optical variable produces fast convergence.…”

Section: Introductionmentioning

confidence: 99%