Chapter 10. Fluid Flow in Two and Three Dimensions

  1. Bruce A. Finlayson

Published Online: 8 FEB 2006

DOI: 10.1002/0471776688.ch10

Introduction to Chemical Engineering Computing

Introduction to Chemical Engineering Computing

How to Cite

Finlayson, B. A. (2006) Fluid Flow in Two and Three Dimensions, in Introduction to Chemical Engineering Computing, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471776688.ch10

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



  • Navier-Stokes equation;
  • laminar flow;
  • turbulent flow;
  • entry flow;
  • T-sensor;
  • serpentine mixer;
  • Carreau model;
  • viscosity a function of shear rate;
  • 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;
  • slip and symmetry boundary;
  • normal flow;
  • neutral boundary


The Navier-Stokes equations are solved in two and three dimensional problems using the program FEMLAB. Both laminar and turbulent flow are considered, although the turbulent flow problems are only simple ones. Problems include developing flow in pipe, start-up flow in a pipe, flow of a non-Newtonian fluid, flow in a T-sensor, flow in an orifice, and flow in a serpentine mixer. The identification of proper boundary conditions is summarized. Examples show how to make the equations dimensionless.