Skip to main content
Log in

Extremum principles for some nonlinear heat transfer problems

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Summary

Recent results on extremum principles for various nonlinear boundary value problems are applied to heat transfer problems involving space radiators such as fins and other parts of spacecraft. The results are illustrated by obtaining quite accurate variational solutions for such problems involving the fourth-power law of radiation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. M. Arthurs, Extremum principles for a class of boundary value problems,Proc. Camb. Phil. Soc., 65 (1969) 803–806.

    Google Scholar 

  2. A. M. Arthurs,Complementary variational principles, Clarendon Press, Oxford (1970).

    Google Scholar 

  3. A. M. Arthurs, A note on Komkov's class of boundary value problems and associated variational principles.J. Math. Anal. Appl, 33 (1971) 402–407.

    Google Scholar 

  4. A. M. Arthurs, Dual extremum principles and error bounds for a class of boundary value problems,J. Math. Anal. Appl. accepted for publication.

  5. J. A. Bilenas and L. M. Jiji, A perturbation solution for fins with conduction, convection, and radiation interaction,AIAA Journal 8 (1970) 168–169.

    Google Scholar 

  6. P. Hrycak, Influence of conduction of spacecraft skin temperatures,AIAA Journal 1 (1963) 2619–2621.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anderson, N., Arthurs, A.M. Extremum principles for some nonlinear heat transfer problems. J Eng Math 6, 331–339 (1972). https://doi.org/10.1007/BF01535194

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01535194

Keywords

Navigation