Chapter 9. Transport Processes in One Dimension

  1. Bruce A. Finlayson

Published Online: 8 FEB 2006

DOI: 10.1002/0471776688.ch9

Introduction to Chemical Engineering Computing

Introduction to Chemical Engineering Computing

How to Cite

Finlayson, B. A. (2006) Transport Processes in One Dimension, in Introduction to Chemical Engineering Computing, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471776688.ch9

Author Information

  1. University of Washington, Seattle, Washington, USA

Publication History

  1. Published Online: 8 FEB 2006
  2. Published Print: 27 FEB 2006

ISBN Information

Print ISBN: 9780471740629

Online ISBN: 9780471776680



  • ordinary differential equation;
  • two point boundary value problem;
  • fluid flow;
  • heat transfer;
  • reaction;
  • diffusion;
  • time-dependent problem;
  • linear adsorption;
  • chromatography;
  • artificial diffusion;
  • Petrov-Galerkin method;
  • Carreau model;
  • FEMLAB commands: open;
  • draw;
  • mesh;
  • physics/subdomain;
  • physics/boundary mode;
  • solve;
  • post processing;
  • plotting


Problems in one space dimension are solved using the finite element method in FEMLAB. Examples include flow in a pipe of a Newtonian fluid and a non-Newtonian fluid, heat transfer, reaction and diffusion in a porous catalyst, unsteady heat transfer, unsteady flow, linear adsorption, and chromatography. Artificial diffusion is used in the last two examples.