Abstract
Radiation transfer in atmospheric aerosol media with general boundary conditions has been studied for anisotropic scattering. The considered aerosol medium assumed to have specular and diffused reflecting boundary surfaces and in the presence of internal source. The radiation transfer scattering parameters as single scattering albedo, asymmetry factor, scattering, absorption, extinction efficiencies and anisotropic scattering coefficient have been calculated using the Mie theory. The problem with general boundary conditions is solved in terms of the solution of source-free problem with simply boundary conditions. Pomraning-Eddington approximation is used to solve the source-free problem. For the sake of comparison, a weight function is introduced and used in two special forms. The calculated partial heat fluxes with the two methods are compared and showed good agreement. Some of our results are found in a good agreement with published data.
Similar content being viewed by others
References
Attia, M.T., Madkour, M.A., Abulwafa, E.M., Abd-Elnaby, M.M.: Anisotropic radiation transfer in a plane medium with specularly-reflecting boundary conditions. J. Quant. Spectrosc. Radiat. Transf. 47, 221 (1992)
Bohren, C.F., Huffman, D.R.: Absorption and Scattering of Light by Small Particles. Wiley, New York (1983)
d’Almeida, G.A., Koepke, P., Shettle, E.P.: Atmospheric Aerosols—Global Climatology and Radiative Characteristics A. Deepak Publishing, Hampton (1991). 561 pp.
Deepak, A., Gerbers, H.E. (eds.): Report of the experts meeting on aerosols and their climatic effects. WCP-55, 107 pp. [Available from World Meteorological Organization, Case Postale No. 5, CH-1211 Geneva, Switzerland] (1983)
Degheidy, A.R.: Radiative transfer in a scattering medium with angle-dependent reflective boundaries. Waves Random Media 7, 579 (1997)
El-Wakil, S.A., Elgarayhi, A., Elhanbaly, A.: Transmission of radiation through an aerosol medium. J. Quant. Spectrosc. Radiat. Transf. 93, 521 (2005)
El-Wakil, S.A., Abulwafa, E.M., Degheidy, A.R., El-Shahat, A.: The variational Pomraning-Eddington method for a plane medium with specular boundaries. Phys. Scr. 50, 135 (1994)
Faxvog, F.R., Roessler, D.M.: Carbon aerosol variability versus particle size distribution. Appl. Opt. 17, 3859 (1978)
Gavrilova, L.A., Ivlev, L.S.: Aerosol models for computations of radiative characteristics of the atmosphere. Izv., Atmos. Ocean. Phys. 31, 638 (1996)
Hansen, J.E., Lacis, A.A., Lee, P., Wang, W.C.: Climatic effects of atmospheric aerosols. Ann. N.Y. Acad. Sci. 338, 575 (1980)
Hess, M., Koepke, P., Schult, I.: Optical properties of aerosols and clouds: the software package OPAC. Bull. Am. Meteorol. Soc. 79, 831 (1998)
Intergovernmental Panel on Climate Change (IPCC): Climate Change: the Physical Science. Technical Summary of the Working Group I Report. Cambridge University Press, New York (2007)
Lacis, A.A., Mishchenko, M.: Climate forcing, climate sensitivity and climate response: a radiative modeling perspective on atmospheric aerosols. In: Charlson, R.J., Heintzenberg, J. (eds.) Aerosol Forcing of Climate: Report of the Dahlem Workshop on Aerosol Forcing of Climate, Berlin, 1994, April 24–29. Wiley, Chichester (1995)
Levoni, C., Cervino, M., Guzzi, R., Torricella, F.: Atmospheric aerosol optical properties: a database of radiative characteristics for different components and classes. Appl. Opt. 36, 8031 (1997)
Lii, C.C., Ozisik, M.N.: Hemisferical reflectivity and transmissivity of an absorbing, isotropically scattering slab with a reflecting boundary. Int. J. Heat Mass Transf. 16, 685 (1973)
Mengüç, M.P., Viskanta, R.: Comparison of radiative transfer approximations for a highly forward scattering planar medium. J. Quant. Spectrosc. Radiat. Transf. 29, 381 (1983)
Pandis, S.N., Russell, L.M., Seinfeld, J.H.: The relationship between dimethyl sulfide flux and CCN concentration in the remote marine regions. Rev. Geophys. 16, 945 (1994)
Sallah, M.: Polarized radiation transfer in finite atmospheric media. Planet. Space Sci. 55, 1283 (2007)
Sallah, M., Degheidy, A.R.: Neutron transport for pure-triplet scattering in finite planar media with reflective boundaries. Ann. Nucl. Energy 35, 708 (2008)
Siewert, C.E., Maiorino, J.R., Ozisik, M.N.: The use of the F N method for radiative transfer problems with reflective boundary conditions. J. Quant. Spectrosc. Radiat. Transf. 23, 565 (1980)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Degheidy, A.R., Sallah, M., Elgarayhi, A. et al. Radiation transfer through atmospheric aerosol media with anisotropic scattering. Astrophys Space Sci 349, 329–337 (2014). https://doi.org/10.1007/s10509-013-1620-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-013-1620-1