Velocity distribution in smooth pipes

$u=\dfrac{u_*}{K}\log_e y+C$

It is seen that at (y=0), the velocity ‘u’ at wall is ($-\infty$).

This means ‘u’ is positive at some distance far from the wall.

Hence, at some finite distance from wall, (‘u’=0).

Let the distance from pipe wall b y’. Now, constant …