# Why is the production of turbulent kinetic energy maximum in the lowest layers of the turbulent boundary layer?

I have been studying the basics of CFD from a book titled 'An Introduction to Computational Fluid Dynamics' by H.K. Versteeg. In the turbulence modelling section, the author shows how the production of turbulent kinetic energy is maximum in the lowest layers of a turbulent boundary layer which happens to be right next to the wall. The figure shows how the maximum value of u' occurs when y/delta is minimum.

The question I have is, doesn't this oppose the Kolmogorov Length Scale theory? Since near the wall we should have the smallest eddies, instead of maximum turbulent kinetic energy production, shouldn't the kinetic energy dissipation be maximum?

$$\text{Prod.} = - \overline{u_i^\prime u_j^\prime} \frac{\partial \overline{u_i}}{\partial x_j}$$