Module 8: Flow at low and high Reynolds numbers
  Lecture 27: Flow at high Reynolds numbers (Boundary layer theory)
 
 

Re–defining variables as

where,  one obtains the following dimensionless form of the NS equation:

At the limit of , the 1st viscous term is neglected. However, the 2nd term is retained because

The dimensional form of the NS equation (for x-direction) may now be written for boundary–layer flow (at high Reynolds number) as:

momentum