Relation of emittance to other optical properties

Richmond, Joseph C.

doi:10.6028/jres.067c.019

Cited by 46 publications

(27 citation statements)

References 4 publications

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“…The simplest model to describe the transmission of radiant energy through an absorbing-scattering media is the "two flux" or one-dimensional model. A comprehensive discussion of this technique can be found in references (30,69,74). Estimating the rate ofenergy transfer in a scattering absorbing medium is extremely complex and is a function of the type of inclusion, polymer, radiation spectrum, etc.…”

Section: Methods $1 Predicting the Thermal Conductivity Of Compositementioning

confidence: 99%

Methods for predicting the thermal conductivity of composite systems: A review

Progelhof

Throne

Ruetsch

1976

Polymer Engineering & Sci

654

286

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The thermal conductivity of a solid or gas filled polymer is iised i n processing or end use application calculations. Numero u s theoretical and empirical correlations are fomntl in the literature. A careful re\,iew ofthese niotlels indictes that no one correlatioii or technique accuratel? predicts the thermal contluctivit! of all t?-pes of composites. The investigation indicated that for solid filled composites the Lewis and Nielseii eqiiation fittctl the experimental data best for the range offillers tested. However, for a gas filled pol? nier, iioiie ofthe theoretical models proved atleqiiate. The semi-empirical approach of Hartli in g show e (1 co in s i derab le merit ,

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Section: Methods $1 Predicting the Thermal Conductivity Of Compositementioning

confidence: 99%

Methods for predicting the thermal conductivity of composite systems: A review

Progelhof

Throne

Ruetsch

1976

Polymer Engineering & Sci

654

286

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“…The first was when spectral or near-collimated light was incident normal to the boundary. The Fresnel reflection coefficient [28], r F , gives the fraction of collimated light that is reflected.…”

Section: Interface Reflectionsmentioning

confidence: 99%

“…They are derived using the theory of Richmond [28], as represented in Equation 2. The fraction of F 3 that is transmitted through boundary 1 is…”

Section: Section Ii: Two-boundary Mismatchmentioning

confidence: 99%

Optical properties of human trabecular meshwork in the visible and near-infrared region

et al. 1999

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“…When going in the reverse direction from a higher to a smaller n value, the p' is given by (Richmond, 1963) p…”

Section: (N+l)2 + (N2 +L)3 \N+1jmentioning

confidence: 99%

Refractive Index Effects on Radiation in an Absorbing, Emitting, and Scattering Laminated Layer

Siegel

Spuckler

1993

Journal of Heat Transfer

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IntroductionThe use of ceramic materials for parts or coatings is of interest for high-temperature applications. Some of these materials have reinforcing fibers or are laminated so it is necessary to consider heat transfer in composite regions. The surrounding temperatures are high, which provides substantial radiative heating. Since some of the materials are semitransparent, their temperature distributions depend on the internal radiative heat flow. The refractive index of a semitransparent material can have a considerable effect on its temperature distribution. The refractive index governs the amount of transmission into the interior of the material and affects the internal reflections that occur. Of more significance, the emission within-a material depends on the square of its refractive index; hence internal emission can be many times that for a blackbody radiating into a vacuum. Since radiation exiting through an interface into ávactium cannot èxcéëd that of a blackbody, the amount of internal reflection can be substantial. It redistributes energy within the layer and tends to make the temperature distribution more uniform than for a material with refractive index close to one.To obtain the general solution for the temperature distribution in a composite semitransparent layer requires solving the integral equations of energy transfer in each region, including heat conduction, and matching temperatures and heat flows at the internal interface. A spectral calculation can be carried out in each significant wavelength band and the total energy flow found by summing over the bands. A numerical solution by computer is required. A simple limiting solution is obtained here that is helpful and informative. The purpose of this paper is to show that in the limit with no heat conduction and for gray layers with refractive indices greater than one, the solution for a composite region can be obtained from information that is already known and results calculated very easily. The effects of surface reflections and isotropic scattering are included. The solution of integral equations is not required. The limiting result can be helpful in initiating iterative computer solutions for a more general analysis and for checking the validity of numerical solutions.The development here builds on the analysis of Siegel and Spuckler (1992) where it was shown that for radiative equilib-

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Relation of emittance to other optical properties

Cited by 46 publications

References 4 publications

Methods for predicting the thermal conductivity of composite systems: A review

Methods for predicting the thermal conductivity of composite systems: A review

Optical properties of human trabecular meshwork in the visible and near-infrared region

Refractive Index Effects on Radiation in an Absorbing, Emitting, and Scattering Laminated Layer

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