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.
Similar content being viewed by others
References
A. M. Arthurs, Extremum principles for a class of boundary value problems,Proc. Camb. Phil. Soc., 65 (1969) 803–806.
A. M. Arthurs,Complementary variational principles, Clarendon Press, Oxford (1970).
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.
A. M. Arthurs, Dual extremum principles and error bounds for a class of boundary value problems,J. Math. Anal. Appl. accepted for publication.
J. A. Bilenas and L. M. Jiji, A perturbation solution for fins with conduction, convection, and radiation interaction,AIAA Journal 8 (1970) 168–169.
P. Hrycak, Influence of conduction of spacecraft skin temperatures,AIAA Journal 1 (1963) 2619–2621.
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01535194