7. Use of Duhamel's Theorem

  1. David W. Hahn and
  2. M. Necati Özişik

Published Online: 28 AUG 2012

DOI: 10.1002/9781118411285.ch7

Heat Conduction, Third Edition

Heat Conduction, Third Edition

How to Cite

Hahn, D. W. and Özişik, M. N. (2012) Use of Duhamel's Theorem, in Heat Conduction, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118411285.ch7

Author Information

  1. Raleigh, North Carolina, USA

Publication History

  1. Published Online: 28 AUG 2012
  2. Published Print: 15 AUG 2012

ISBN Information

Print ISBN: 9780470902936

Online ISBN: 9781118411285



  • using Duhamel's theorem;
  • continuous time-dependent boundary conditions;
  • Duhamel's theorem for heat conduction problems;
  • expression for temperature distribution;
  • 1-D cylinder with internal energy generation


This chapter contains sections titled:

  • Development of Duhamel's Theorem for Continuous Time-Dependent Boundary Conditions

  • Treatment of Discontinuities

  • General Statement of Duhamel's Theorem

  • Applications of Duhamel's Theorem

  • Applications of Duhamel's Theorem for Internal Energy Generation

  • References

  • Problems