Chapter 5. An Introduction to Similarity

  1. Richard Ghez

Published Online: 28 JAN 2005

DOI: 10.1002/3527602836.ch5

A Primer of Diffusion Problems

A Primer of Diffusion Problems

How to Cite

Ghez, R. (1988) An Introduction to Similarity, in A Primer of Diffusion Problems, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527602836.ch5

Author Information

  1. IBM Thomas J. Watson Research Center, Yorktown Heights, New York, USA

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 20 JUL 1988

ISBN Information

Print ISBN: 9780471846925

Online ISBN: 9783527602834



  • diffusion problems;
  • similarity;
  • Boltzmann transformation;
  • variable diffusivity;
  • Dirichlet condition;
  • Neumann condition;
  • instantaneous point source


This chapter contains sections titled:

  • Similarity Solutions

  • Boltzmann's Transformation

  • Two Applications of Similarity to Spheres

    • Impurity diffusion in a sphere

    • Frank-Zener theory of precipitate growth

  • Boltzmann's Transformation and Variable Diffusivity

  • Analytic Solutions for Variable Diffusivity

    • Constant Dirichlet condition

    • Constant Neumann condition

    • Instantaneous point source

  • References