Chapter 18. Transport by Random Motion

  1. Rene P. Schwarzenbach,
  2. Philip M. Gschwend,
  3. Dieter M. Imboden

Published Online: 8 JUN 2005

DOI: 10.1002/0471649643.ch18

Environmental Organic Chemistry

Environmental Organic Chemistry

How to Cite

Schwarzenbach, R. P., Gschwend, P. M. and Imboden, D. M. (2005) Transport by Random Motion, in Environmental Organic Chemistry, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471649643.ch18

Publication History

  1. Published Online: 8 JUN 2005
  2. Published Print: 23 AUG 2002

ISBN Information

Print ISBN: 9780471350538

Online ISBN: 9780471649649

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Keywords:

  • Fick's Laws;
  • molecular diffusivity;
  • turbulent diffusion;
  • transport in porous media

Summary

The chapter serves as the mathematical basis of Chapters 19 to 25 to describe random motion, as opposed to directed (advective) motion. The concepts of diffusion and Fick's First and Second Laws are introduced. Solutions of these equations in one to three dimensions are given for flat and spherical boundaries. As an important application at the molecular level, molecular diffusivities in gases (e.g., air), liquids (e.g., water), and porous media (e.g., sediments) are introduced. The chapter ends with a short preview on random motion at the macroscopic scale (turbulent diffusion and dispersion) as discussed later in the book.