Total hemispherical emittances for CO2 or H2O including particulate scattering

Skocypec, R.D.; Buckius, Richard O.

doi:10.1016/0017-9310(84)90232-1

Cited by 12 publications

(3 citation statements)

References 15 publications

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“…It should be noted that for a given order of the expansion more accurate results to the incident radiation and the net radiant he.at flux are obtainable using Eqs. (12) and (13), respectively, than using Eqs. (6) and (8).…”

Section: Methods Of Solutionmentioning

confidence: 98%

“…Once a solution has been obtained to the expansion coefficients, the incident radiation and the net radiant heat fluxes are, respectively, computed from 5 (12) …”

Section: Methods Of Solutionmentioning

confidence: 99%

“…If the bounds on C are such that 0 •< C < 1, then one may interpret the interaction parameter as an effective transmissivity of the particulate matter. In a related study in plane-parallel media, 12 it has been determined that the normal total emittance of water vapor has been enhanced by up to 95% by the presence of purely isotropically scattering particles. However, a rigorous analysis by Goodwin and Ebert 11 has revealed that the enhancement of the spectral hemispherical emittance of a plane-parallel medium containing isotropically scattering particles and participating gases is very small (maximum 3.2%); that is, the particulate phase shields the gaseous emission very effectively in most cases.…”

Section: Emissivity Of An Isothermal Plumementioning

confidence: 98%

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Effect of linear-anisotropic scattering on spectral emission from cylindrical plumes

Thynell

1992

Journal of Thermophysics and Heat Transfer

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The corresponding integral form of the equation of radiative transfer in absorbing, emitting, linear-anisotropic scattering media is used to compute the spectral hemispherical and the spectral plume emissivities of a onedimensional cylinder. The solution is based on using power series representations of the temperature and incident radiation profiles. The expansion coefficients for the temperature are assumed known, whereas the expansion coefficients for the incident radiation are solved for by the application of a collocation strategy based on the zeros of the Chebyshev polynomials. The method of solution is employed to study primarily the interaction between an absorbing/emitting gas phase and an absorbing/emitting/scattering particle phase. The numerical results indicate that the plume emissivity is enhanced by as much as 20% by the presence of purely scattering particles. Nomenclature Aj-expansion coefficients to Planck function a = linear anisotropic scattering coefficient BI = expansion coefficients to G(r) C = interaction parameter D m , n (r) = functions defined in the Appendix dA l = elemental surface area on plume dA 2 -elemental surface area of detector dQ lx = flux from elemental strip d 2 Q\\ -flux from elemental surface dA l dfl u = solid angle E m , n (r) = functions defined in the Appendix G(r) = incident radiation H = height or length of plume / = order of expansion of incident radiation I b (T) -dimensional Planck function /"(*) = modified Bessel function of the first kind 7(r,0,<£)= radiation intensity 7*(r,0,) = /(r,0,<£)// fc (r), normalized radiation intensity / = order of expansion of Planck function K n (x) = modified Bessel function of the second kind L m , n ( r ,x) -kernels in integral equations n -index of refraction h -outward normal unit vector P(0) = -1 + a cos 0, scattering phase function q(r) = net radiation heat flux in r-direction R = (a s + K P + Kg)R ph , optical radius of plume R g = K g R ph , spectral optical radius of plume due to participating gases R p = (cr s + K p )R ph , spectral optical radius of plume due to particles R ph = physical radius of plume r = optical radial variable r k = collocation point S -distance between plume and detector T m = mean temperature of plume T(r) = temperature of medium X* = functions defined in the Appendix

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Section: Methods Of Solutionmentioning

confidence: 98%

“…Once a solution has been obtained to the expansion coefficients, the incident radiation and the net radiant heat fluxes are, respectively, computed from 5 (12) …”

Section: Methods Of Solutionmentioning

confidence: 99%

Section: Emissivity Of An Isothermal Plumementioning

confidence: 98%

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