It is possible to develop a relationship between λ and (the integral scale). We also know that

and

(17.2)

We have already seen that in a steady, homogeneous shear flow situation, one can write

or

The ratio of is then given by

(17.2)

A in the above equation is an undetermined constant taken to be of order of unity. In all turbulent flows . Hence the Taylor microscale is quite small . This shows that dissipation of energy is due to small eddies of turbulence.