8. Use of Green's Function for Solution of Heat Conduction Problems

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

Published Online: 28 AUG 2012

DOI: 10.1002/9781118411285.ch8

Heat Conduction, Third Edition

Heat Conduction, Third Edition

How to Cite

Hahn, D. W. and Özişik, M. N. (2012) Use of Green's Function for Solution of Heat Conduction Problems, in Heat Conduction, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118411285.ch8

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

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Keywords:

  • three-dimensional Green's function;
  • determination of Green's functions;
  • Dirac delta function;
  • Green's function for a 1-D sphere with generation

Summary

This chapter contains sections titled:

  • Green's Function Approach for Solving Nonhomogeneous Transient Heat Conduction

  • Determination of Green's Functions

  • Representation of Point, Line, and Surface Heat Sources with Delta Functions

  • Applications of Green's Function in the Rectangular Coordinate System

  • Applications of Green's Function in the Cylindrical Coordinate System

  • Applications of Green's Function in the Spherical Coordinate System

  • Products of Green's Functions

  • References

  • Problems