The finite-volume method has been shown to effectively predict radiant exchange in geometrically simple enclosures where the medium is gray, absorbing, emitting, and scattering. Cartesian and circular cylindrical meshes have always been used. The present article shows that the method applies equally well to geometrically complex enclosures where nonorthogonal, boundary-fitted meshes are used. This development permits radiant heat transfer to be computed on the same mesh employed to solve the equations of fluid motion.

Computation of radiant heat transfer on a nonorthogonal mesh using the finite-volume method

Radiation heat transfer in combustion systems

Chapter 22 – inverse radiative heat transfer

Combustion of hydrocarbon fuels within porous inert media

Review on thermal transport in high porosity cellular metal foams with open cells

The use of the Monte Carlo method in radiative heat transfer is reviewed. The review covers surface-surface, enclosure, and participating media problems. Discussio. is included of research on the fundamentals of the method and on applications to surface-surface interchange in enclosures, exchange between surfaces with roughness characteristics, determination of configuration factors, inverse design, transfer through packed beds and fiber layers, participating media, scattering, hybrid methods, spectrally dependent problems including media with line structure, effects of using parallel algorithms, practical applications, and extensions of the method. Conclusions are presented on needed future work and the place of Monte Carlo techniques in radiative heat transfer computations

The Monte Carlo Method in Radiative Heat Transfer

Spectral absorption and scattering coefficients and spectral scattering phase functions have been derived for partially stabilized zirconia (PS ZrO 2 ) and oxide-bonded silicon carbide (OB SiC) reticulated porous ceramics (RPCs) across the wavelength range 0.4-5.0 μm. These spectral radiative properties were investigated and quantified for 10 ppi (pores/inch), 20 ppi, and 65 ppi materials. Radiative properties were recovered from spectral hemispherical reflectance and transmittance measurements using inverse analysis techniques based upon discrete ordinates radiative models. Two dual-parameter phase functions were investigated for these materials : one based on the physical structure of reticulated porous ceramics and the other a modified Henyey-Greenstein phase function. The modified Henyey- Greenstein phase function provided the most consistent spectral radiative properties. PS ZrO 2 radiative properties exhibited strongly spectrally dependent behavior across the wavelength range studied. OB SiC radiative properties exhibited radiative behavior that was relatively independent of wavelength across the wavelength spectrum studied. OB SiC also demonstrated consistently higher absorption coefficients than PS ZrO 2 at all wavelengths. Spectral scattering albedos of PS ZrO 2 were discovered to be in the range 0.81-0.999 and increased as ppi rating increased, while those for OB SiC were lower in the range 0.55-0.888 and decreased as ppi rating increased. The average extinction efficiencies for 0.4-5.0 μm were discovered to be 1.45 for PS ZrO 2 and 1.70 for OB SiC. Extinction coefficients were discovered to correlate well with geometric optics theoretical models and electromagnetic wave/fiber interaction models based on independent scattering and absorption mechanisms.

Absorption/Scattering Coefficients and Scattering Phase Functions in Reticulated Porous Ceramics

Thermal radiation in participating media - The past, the present, and some possible futures

Radiative energy transfer in a gray absorbing and emitting medium is considered in a two-dimensional rectangular enclosure using the P-N differential approximation approximation. The two-dimensional moment of intensity partial differential equations (PDE's) are combined to yield a single second-order PDE for the P-1 approximation and four coupled second-order PDE's for the P-3 approximation. P-1 approximation results are obtained from separation of variables solutions, and P-3 results are obtained numerically using successive-over-relaxation methods. The P-N approximation results are compared with numerical Hottel zone results and with results from an approximation method developed by Modest. The studies show that the P-3 approximation can be used to predict emissive power distributions and heat transfer rates in two-dimensional media with opacities of unity or greater. The P-1 approximation is identical to the diffusion solution and is thus applicable only if the medium is optically dense.

Two-Dimensional Radiation in Absorbing-Emitting Media Using the P-N Approximation

Presentation d'une solution numerique, en utilisant la methode des elements finis, des equations exactes du transfert de chaleur couple par conduction et rayonnement thermiques, du champ de temperatures dans le milieu et de la repartition des flux thermiques sur toutes les parois grises d'une enceinte bidimensionnelle rectangulaire pour un milieu presentant des proprietes uniformes d'absorption et d'emission

J. R. Howell

Papers

The Monte Carlo Method in Radiative Heat Transfer

Absorption/Scattering Coefficients and Scattering Phase Functions in Reticulated Porous Ceramics

Thermal radiation in participating media - The past, the present, and some possible futures

Two-Dimensional Radiation in Absorbing-Emitting Media Using the P-N Approximation

Coupled Radiative and Conductive Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media Using Finite Elements