Using Boundary Conditions: Summary

The answers to the ConcepTests are given below and will open in a separate window. 
Key points from this module:
  • The Naiver-Stokes equation can typically be significantly simplified by cancelling out terms that do not pertain to the problem on interest.
  • One boundary condition is needed for each integration constant.
  • Common boundary conditions include: no-slip boundary condition at contact with surfaces, no shear stress at contact with atmospheric conditions, and no shear stress at lines of symmetry.
From studying this module, you should now be able to:
  • Simplify the Navier-Stokes equation based on the system of interest.
  • Integrate a simplified Navier-Stokes equation.
  • Determine the appropriate boundary conditions to apply.
  • Apply boundary conditions to obtain a velocity profile. 
Prepared by Janet deGrazia, Department of Chemical and Biological Engineering, University of Colorado Boulder