Exact Solutions Of Navier-Stokes Equations

Satisfaction

Consider a class of flow termed as parallel flow in which only one velocity term is nontrivial and all the fluid particles move in one direction only.
  • We choose $ \textit{x}$ to be the direction along which all fluid particles travel , i.e.  . Invoking this in continuity equation, we get

 
  which means 
  • Now. Navier-Stokes equations for incompressible flow become

 

 
 

So, we obtain
   which means
and (25.11)