Chapter 11. Convective Diffusion Equation in Two and Three Dimensions

  1. Bruce A. Finlayson

Published Online: 8 FEB 2006

DOI: 10.1002/0471776688.ch11

Book Title

Introduction to Chemical Engineering Computing

Introduction to Chemical Engineering Computing

Additional Information

How to Cite

Finlayson, B. A. (2006) Convective Diffusion Equation in Two and Three Dimensions, in Introduction to Chemical Engineering Computing, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471776688.ch11

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

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Keywords:

  • T-sensor;
  • serpentine mixer;
  • FEMLAB commands: open;
  • draw;
  • mesh;
  • physics/subdomain;
  • physics/boundary mode;
  • solve;
  • post processing;
  • plotting;
  • streamlines;
  • arrow plots;
  • cross-section plots;
  • domain plots;
  • boundary integration;
  • subdomain integration;
  • heat flux boundary condition;
  • insulation and symmetry boundary condition;
  • convective flux

Summary

The convective diffusion equation and heat conduction equation are described and made dimensionless. Steady heat transfer problems are solved using FEMLAB. Dispersion in a T-sensor is solved to illustrate the effect of Peclet number and fast convection. Concentration dependent viscosities and viscous dissipation are included in some models. The flow in an orifice is modeled with viscous dissipation. Mixing in a serpentine mixer describes a full three-dimensional flow and convective diffusion problem. A reactor with reaction occurring only on the wall is described.

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