0
Technical Briefs

Green’s Function Approach to Nonlinear Conduction and Surface Radiation Problems

[+] Author and Article Information
Matthew R. Jones, Vladimir P. Solovjov

Department of Mechanical Engineering, Ira A. Fulton College of Engineering and Technology, Brigham Young University, Provo, UT 84602-4201

J. Heat Transfer 132(2), 024502 (Dec 04, 2009) (5 pages) doi:10.1115/1.4000234 History: Received November 15, 2008; Revised May 14, 2009; Published December 04, 2009; Online December 04, 2009

An exact approach for solving both transient and steady state conduction and surface radiation problems is presented. The method is based on the use of Green’s function, and the temperature field is obtained by solving an integral equation. This is in contrast to the approach presented in radiative heat transfer texts in which temperature profiles are obtained from the simultaneous solution of coupled integral and differential equations. The analysis presented in this paper provides insight into the solution of this important class of problems. The method is illustrated by solving two representative problems. The first problem considered is the steady state analysis of a radiating fin. The second problem considered is the transient analysis of a radiating target, which is used to determine the temporal response of radiation thermometers.

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 3

Fin performance parameters as a function of (a) the profile number, (b) the solar heating parameter, and (c) the aspect ratio

Grahic Jump Location
Figure 4

Target used to assess the temporal response of a radiation thermometer

Grahic Jump Location
Figure 5

Comparison between the exact and linearized temperature profiles (a) time-dependent temperature profile at the center of the target and (b) radial temperature profile at steady state

Grahic Jump Location
Figure 1

Illustration of the radiating fin problem

Grahic Jump Location
Figure 2

Nondimensional radial temperature profile for the base case

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.

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