0
Research Papers: Radiative Heat Transfer

Analytical Solution Under Two-Flux Approximation to Radiative Heat Transfer in Absorbing Emitting and Anisotropically Scattering Medium

[+] Author and Article Information
Xin-Lin Xia1

School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, People’s Republic of Chinaxiaxl@hit.edu.cn

Dong-Hui Li

School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, People’s Republic of China

Feng-Xian Sun

School of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, People’s Republic of China

1

Corresponding author.

J. Heat Transfer 132(12), 122701 (Sep 21, 2010) (8 pages) doi:10.1115/1.4002326 History: Received December 22, 2009; Revised July 24, 2010; Published September 21, 2010; Online September 21, 2010

Radiative transfer in absorbing, emitting, and highly anisotropically scattering media is widely encountered in high temperature applications such as pulverized coal firing furnaces and high temperature thermal protection materials. Efficient and effective solution methods for the transfer process are very crucial, especially in thermal radiation related reverse problems and optimization designs. In this study, the analytical solution for radiative heat transfer in an absorbing, emitting, and anisotropically scattering slab between two parallel gray walls are derived under the two-flux approximation. Explicit expression for the radiative heat flux in a slab is obtained under two-flux approximation. The reliability and adaptability of an analytical solution is examined in case studies by comparing with the Monte Carlo results. Comparative studies indicate that the analytical solution can be used in radiative transfer calculation in an absorbing emitting and anisotropically scattering slab. It is much more applicable in a forward and isotropic scattering slab than in an absorbing one, especially in a forward scattering slab. Because of simplicity and high computing efficiency with the analytical solution, it may be useful in reverse radiative transfer problems, in optimization design, and in developing some numerical schemes on radiative heat transfer.

FIGURES IN THIS ARTICLE
<>
Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Schematic diagram of radiative heat transfer in a slab

Grahic Jump Location
Figure 2

Profile of radiative heat flux divergence in a nonscattering slab (ε=0.8)

Grahic Jump Location
Figure 3

Profile of radiative heat flux divergence in a forward scattering slab (ε=0.8)

Grahic Jump Location
Figure 4

Profile of radiative heat flux divergence in an isotropic scattering slab (ε=0.8)

Grahic Jump Location
Figure 5

Profile of radiative heat flux divergence in a backward scattering slab (ε=0.8)

Grahic Jump Location
Figure 6

Profile of radiative heat flux divergence in a forward scattering layer (ε=0.2)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In