# Dissipation of energy in the locally isotropic turbulence

```@article{Kolmogorov1991DissipationOE,
title={Dissipation of energy in the locally isotropic turbulence},
author={A. Kolmogorov},
journal={Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences},
year={1991},
volume={434},
pages={15 - 17}
}```
• A. Kolmogorov
• Published 1991
• Physics
• Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
In my note (Kolmogorov 1941a) I defined the notion of local isotropy and introduced the quantities Bdd(r)=[ud(M′)−ud(M)]2,¯[un(M′)−un(M)¯]2, where r denotes the distance between the points M and M', ud(M) and ud(M') are the velocity components in the direction MM'¯¯ at the points Mand M', and un(M) and un(M') are the velocity components at the points M andM' in some direction, perpendicular to MM'.
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