Scattering and Extinction Coefficients for Small Absorbing and Nonabsorbing Aerosols*

Penndorf, R.

doi:10.1364/josa.52.000896

Cited by 62 publications

(23 citation statements)

References 3 publications

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“…For media where the diameters of any scattering particles are significantly smaller than the wavelength of the radiation, Rayleigh scattering theory describes the radiation particle interaction. Limits on when Rayleigh scattering theory is appropriate are found in [98][99][100]. Diffraction theory may be used to predict scattering due to large spherical particles.…”

Section: Implementing Scatteringmentioning

confidence: 99%

Coupling radiative heat transfer in participating media with other heat transfer modes

Tencer

Howell

2015

J Braz. Soc. Mech. Sci. Eng.

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transfer modes are minimized or eliminated as in Dewar flasks and cryogenic storage systems. In this review, we discuss the common and not-so-common methods for treating radiation heat transfer in participating (absorbing/emitting and scattering) media, and how these methods are coupled with the overall energy equation for treating thermal transfer problems.Because radiation is almost inevitably coupled with other heat transfer modes, an overall thermal analysis requires solution of the energy equation, which is actually a balance of energy rates. Here, we follow the development in Howell et al. [1].The general form for the energy equation for a compressible fluid is where D/Dt is the substantial derivative, the left-hand side accounts for changes in stored energy within the medium, and the terms on the right-hand side account for changes in pressure work, contributions by conduction and radiation, internal sources (chemical, electrical, nuclear, etc.,), and viscous dissipation. In most practical thermal analysis problems, the pressure work and viscous dissipation terms can be neglected.Of greatest interest here is the evaluation of the local divergence of radiative flux, −∇ · q r . This is the difference in the local absorbed radiative energy minus the local emitted radiation, 4π ∞ =0 κ I b d , where κ λ is the local spectral absorptivity of the medium and I λb is the blackbody intensity given by the Planck distribution. In an absorbing-emitting-scattering medium, the absorbed radiative energy is found by first finding the local radiative intensity I λ (Ω), which is defined as the spectral energy propagating in a given direction Ω per unit solid angle, per unit area AbstractThe common methods for finding the local radiative flux divergence in participating media through solution of the radiative transfer equation are outlined. The pros and cons of each method are discussed in terms of their speed, ability to handle spectral properties and scattering phenomena, as well as their accuracy in different ranges of media transport properties. The suitability of each method for inclusion in the energy equation to efficiently solve multi-mode thermal transfer problems is discussed. Finally, remaining topics needing research are outlined.

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Section: Implementing Scatteringmentioning

confidence: 99%

Coupling radiative heat transfer in participating media with other heat transfer modes

Tencer

Howell

2015

J Braz. Soc. Mech. Sci. Eng.

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“…The connection between Q ext and these parameters lies beyond the scope of this work. The relations and approximations assigned to this factor are widely dealt with in the literature [15,16]. However, its limit tends toward 2 for large values of α (the field of application of Fraunhofer),…”

Section: Size Porosity and Density Of The Flocs Obtained By Laser Dmentioning

confidence: 99%

Contribution of static light scattering to the textural characterization of large aggregates

Bizi

Baudet

2006

Journal of Colloid and Interface Science

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“…If a single wavelength is used, the value for the extinction coefficient must be known a priori and is based on the complex index of refraction of a soot particle, or (n -ik). Measurements for the extinction coefficient of soot particles are available, but there has been much controversy over the proper value (Charalampopoulos and Chang, 1988;Lee and Tien, 1981;Penndorf, 1962; among others). Simmons and Williams (1988) have shown that the Lee and Tien (1981) value is adequate for a wide range of shock tube conditions and fuels.…”

Section: Background Searchmentioning

confidence: 99%

Chemical Additives for Maximizing Fuel Reactivity

Vladimir¹,

Lissianski²,

Sheldon³

et al. 2000

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Scattering and Extinction Coefficients for Small Absorbing and Nonabsorbing Aerosols*

Cited by 62 publications

References 3 publications

Coupling radiative heat transfer in participating media with other heat transfer modes

Coupling radiative heat transfer in participating media with other heat transfer modes

Contribution of static light scattering to the textural characterization of large aggregates

Chemical Additives for Maximizing Fuel Reactivity

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