Arbitrary-Order Spherical Harmonics Method for Radiative Heat Transfer in Semitransparent Medium

Author

Wang Yanming ; Tan Heping

Author_Institution

Schoolof Energy Sci. & Eng., Harbin Inst. of Technol., Harbin, China

Volume

3

fYear

2009

fDate

16-18 Oct. 2009

Firstpage

11

Lastpage

14

Abstract

A radiative transfer model for a linearly or nonlinearly anisotropic scattering medium is developed. An arbitrary-order spherical harmonics method (PN-approximation) was presented to decompose the radiative transfer equation into a set of coupled partial differential equations which solved by the tridiagonal matrix method. By using PN-approximation formulation, the greenhouse effect from carbon dioxide on atmosphere temperature profile was simulated. The results show that the spherical harmonics method is an effective method which has any desired high-order of accuracy. The increase of carbon dioxide concentration causes the enhancement of air temperature.

Keywords

air pollution; carbon compounds; heat radiation; partial differential equations; PN-approximation formulation; air temperature; arbitrary-order spherical harmonics method; atmosphere temperature; carbon dioxide concentration; coupled partial differential equations; greenhouse effect; radiative heat transfer; semitransparent medium; tridiagonal matrix method; Anisotropic magnetoresistance; Carbon dioxide; Differential equations; Electromagnetic coupling; Heat transfer; Matrix decomposition; Nonlinear equations; Partial differential equations; Scattering; Temperature; carbon dioxide; greenhouse effect; radiative heat transfer; spherical harmonics method;

fLanguage

English

Publisher

ieee

Conference_Titel

Energy and Environment Technology, 2009. ICEET '09. International Conference on

Conference_Location

Guilin, Guangxi

Print_ISBN

978-0-7695-3819-8

Type

conf

DOI

10.1109/ICEET.2009.469

Filename

5367071