Parametric Study of Radiative Heat Transfer in Arrays of Fixed Discrete Surfaces

Antoniak, Z.I.; Palmer, Bruce; Drost, M.K.; Welty, James R.

doi:10.1115/1.2824046

Cited by 6 publications

(14 citation statements)

References 1 publication

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“…Although the code they developed was capable of handling spectral effects, only results for gray surfaces were given. Palmer et al (1996) and Antoniak et al (1996) used direct Monte Carlo simulation to determine radiative transfer between opaque elements with triangular and cylindrical cross sections 550 / Vol. 120, AUGUST 1998…”

Section: References Using Monte Carlo Analysismentioning

confidence: 99%

The Monte Carlo Method in Radiative Heat Transfer

Howell

1998

Journal of Heat Transfer

280

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The use of the Monte Carlo method in radiative heat transfer is reviewed. The review covers surface-surface, enclosure, and participating media problems. Discussion 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. Journal of Heat TransferCopyright © 1998 by ASME AUGUST 1998, Vol. 120 / 547 Downloaded From: http://heattransfer.asmedigitalcollection.asme.org/ on 06/10/2015 Terms of Use: http://asme.org/terms Journal of Heat Transfer AUGUST 1998, Vol. 120 / 549 Downloaded From: http://heattransfer.asmedigitalcollection.asme.org/ on 06/10/2015 Terms of Use: http://asme.org/terms ConclusionsIt is clear that a large volume of literature has appeared over the last 30 years on the fundamentals and applications of the

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Section: References Using Monte Carlo Analysismentioning

confidence: 99%

The Monte Carlo Method in Radiative Heat Transfer

Howell

1998

Journal of Heat Transfer

280

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“…Atoniak et al proposed a correlation for ε eff over ε s based on their Monte Carlo results that improve on eq 1 for their case of a regular triangular lattice of cylinder centers. Neither correlations of ref nor eq 1 predict the significant drop ε eff → 0 that must occur in the nonabsorbing limit 7 of ε s → 0, and this limits their usefulness at fiber emissivities, ε s < 0.50. However, in addition to ε s , ε eff will also depend on the external surface texture of the bed, the bed voidage, the fiber diameter, and the fiber orientation.…”

Section: Introductionmentioning

confidence: 98%

“…However, in addition to ε s , ε eff will also depend on the external surface texture of the bed, the bed voidage, the fiber diameter, and the fiber orientation. An effective bed emissivity correlation that includes these aspects appears to be prohibitively difficult either by experiment or simulation. ,, …”

Section: Introductionmentioning

confidence: 99%

“…The radiant heat flux emitted from a unit element of surface depends on the absolute surface temperature T and the surface emissivity in the combination εσ B T . If H represents the radiant flux incident on a unit surface of Σ s or Σ 0 , then for a diffusely reflecting surface, the radiosity B ( r ), the total radiation diffusely leaving a unit surface at the point r per unit time, is given by The radiation is emitted and reflected diffusely according to Lambert's cosine law .…”

Section: Introductionmentioning

confidence: 99%

“…In previous work on fiber bed effective emissivities, Monte Carlo simulations by Atoniak et al 4 of radiant heat-transfer processes were performed on cylindrical beds made up of n rows of very long, parallel, equispaced, identical cylinders with adjacent rows staggered so that the cylinder centers form equilateral triangles. The simulations treated diffusive source radiation introduced perpendicular to the bed cylinders axes.…”

Section: Introductionmentioning

confidence: 99%

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Improved Estimates of High-Temperature Fiber Bed Effective Emissivities from Variational Calculations

Strieder

2005

Ind. Eng. Chem. Res.

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Rigorous variational upper bounds are presented for the effective bed emissivity εeff of a model semi-infinite fiber bed made up of long, parallel, randomly placed, freely overlapping cylinders for two possible bed edgesfibers perpendicular and fibers parallel to the bed edge. Calculations of bed emissivity variational results for both cases provide significant improvement over first-order scattering upper bounds given in a previous paper. For high void fraction Φ → 1 and fiber surface emissivity values of εs = 0.5, 0.3, and 0.1, respective bed emissivity upper bound reduction improvements of 4.14, 12.2, and 35.8% were generated for the latter bed edge structure, and 4.08, 11.3, and 32.2% were obtained for the former case. Along with the first-order scattering lower bounds on εeff, improved estimates of bed emissivities were calculated for high-temperature, nonmetallic fiber beds with εs ≥ 0.55. Bed emissivity enhancement factors (εeff/εs) of 1.27 for fibers parallel to the semi-infinite bed edge and 1.42 for fibers perpendicular to the bed edge were observed for high fiber bed porosity Φ = 0.9 and εs = 0.55. Results compared favorably with an experimental correlation and Monte Carlo simulations.

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