3
$\begingroup$

I was reading the book "Turbulence" written by Uriel Frisch (1995) and got stuck in following the proof of the Karman-Howarth-Monin relation. Although there is already a thread about it, I have different questions.

enter image description here

enter image description here

The proof is given above. My questions are:

  1. How the two identities $\partial \langle(\cdot)\rangle=-\partial_i' \langle(\cdot)\rangle=-\nabla_l \langle(\cdot)\rangle$ are derived from the homogeneity?

  2. Why does incompressibility mean $\langle v_i' \partial_i p\rangle=\langle v_i \partial_i' p'\rangle=0$?

Improve this question
$\endgroup$
0

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.