10. One-Dimensional Composite Medium

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

Published Online: 28 AUG 2012

DOI: 10.1002/9781118411285.ch10

Heat Conduction, Third Edition

Heat Conduction, Third Edition

How to Cite

Hahn, D. W. and Özişik, M. N. (2012) One-Dimensional Composite Medium, in Heat Conduction, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118411285.ch10

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



  • one-dimensional composite medium;
  • application of orthogonal expansion technique;
  • Laplace transformation in solving homogeneous problems;
  • M-layer homogeneous problems;
  • Green's function in solving nonhomogeneous problems


This chapter contains sections titled:

  • Mathematical Formulation of One-Dimensional Transient Heat Conduction in a Composite Medium

  • Transformation of Nonhomogeneous Boundary Conditions into Homogeneous Ones

  • Orthogonal Expansion Technique for Solving M-Layer Homogeneous Problems

  • Determination of Eigenfunctions and Eigenvalues

  • Applications of Orthogonal Expansion Technique

  • Green's Function Approach for Solving Nonhomogeneous Problems

  • Use of Laplace Transform for Solving Semi-Infinite and Infinite Medium Problems

  • References

  • Problems