Radiative Transport Analysis for Plane Geometry with Isotropic Scattering and Arbitrary Temperature

AIAA Journal ◽  
1974 ◽  
Vol 12 (9) ◽  
pp. 1273-1277 ◽  
Author(s):  
J.A. ROUX ◽  
A.M. SMITH
Keyword(s):  
Plane Geometry ◽  
Isotropic Scattering ◽  
Radiative Transport ◽  
Arbitrary Temperature ◽  
Transport Analysis

Phonon Transport in Anisotropic Scattering Particulate Media

2003 ◽  
Vol 125 (6) ◽  
pp. 1156-1162 ◽  
Author(s):  
Ravi Prasher
Keyword(s):  
Cross Section ◽  
Acoustic Waves ◽  
Transport Theory ◽  
Mode Conversion ◽  
Anisotropic Scattering ◽  
Phonon Transport ◽  
Isotropic Scattering ◽  
Radiative Transport ◽  
Particulate Media ◽  
Transport Cross Section

Equation of phonon radiative transport (EPRT) is rewritten to include anisotropic scattering by a particulate media by including an acoustic phase function and an inscattering term which makes EPRT exactly same as equation of radiative transport (ERT). This formulation of EPRT is called generalized EPRT (GEPRT). It is shown that GEPRT reduces to EPRT for isotropic scattering and is totally consistent with phonon transport theory, showing that transport cross section is different from the scattering cross section. GEPRT leads to same formulation for transport cross section as given by phonon transport theory. However GEPRT shows that transport cross section formulations as described by phonon transport theory are only valid for acoustically thick medium. Transport cross section is different for the acoustically thin medium leading to the conclusion that mean free path (m.f.p) is size dependant. Finally calculations are performed for two types of scatterers for acoustic waves without mode conversion: (1) acoustically hard Rayleigh sphere; and (2) large sphere in the geometrical scattering regime. Results show that the scattering from these particles is highly anisotropic. It is also shown that for geometrical scattering case isotropic scattering leads to the conclusion of total internal reflection at the particle/medium interface.

Radiative transfer with anisotropic scattering and arbitrary temperature for plane geometry

AIAA Journal ◽  
1975 ◽  
Vol 13 (9) ◽  
pp. 1203-1211 ◽  
Author(s):  
J. A. Roux ◽  
A. M. Smith ◽  
D. C. Todd
Keyword(s):  
Radiative Transfer ◽  
Anisotropic Scattering ◽  
Plane Geometry ◽  
Arbitrary Temperature

Lattice Boltzmann Method Applied to Radiative Transport Analysis in a Planar Participating Medium

2014 ◽  
Vol 35 (14-15) ◽  
pp. 1267-1278 ◽  
Author(s):  
Subhash C. Mishra ◽  
Himanshu Poonia ◽  
Rohan R. Vernekar ◽  
Arup K. Das
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Radiative Transport ◽  
Transport Analysis ◽  
Boltzmann Method

Phonon Transport in Anisotropic Scattering Particulate Media

2003 ◽  
Author(s):  
Ravi S. Prasher
Keyword(s):  
Cross Section ◽  
Acoustic Waves ◽  
Transport Theory ◽  
Mode Conversion ◽  
Anisotropic Scattering ◽  
Phonon Transport ◽  
Isotropic Scattering ◽  
Radiative Transport ◽  
Particulate Media ◽  
Transport Cross Section

Equation of phonon radiative transport (EPRT) is rewritten to include anisotropic scattering by a particulate media by including an acoustic phase function and an in-scattering term which makes EPRT exactly same as equation of radiative transport (ERT). This formulation of EPRT is called generalized EPRT (GEPRT). It is shown that GEPRT reduces to EPRT for isotropic scattering and is totally consistent with phonon transport theory, showing that transport cross section is different from the scattering cross section. GEPRT leads to same formulation for transport cross section as given by phonon transport theory. However GEPRT shows that transport cross section formulations as described by phonon transport theory are only valid for acoustically thick medium. Transport cross section is different for the acoustically thin medium leading to the conclusion that mean free path (m.f.p) is size dependant. Finally calculations are performed for two types of scatterers for acoustic waves without mode conversion: 1) Acoustically hard Rayleigh sphere 2) large sphere in the geometrical scattering regime. Results show that the scattering from these particles is highly anisotropic. It is also shown that for geometrical scattering case isotropic scattering leads to the conclusion of total internal reflection at the particle/medium interface.

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