Turbulent flow Question

Sirvonny · April 13, 2020, 22:31

Before i dwell into CFD, I am trying to analytically prove this statement to be true for incompressible turbulent flow.

Im struggling to prove that in homogeneous, isotropic turbulent ﬂows the average rate of kinetic energy dissipation per unit mass of ﬂuid is: (attached image).

LuckyTran · April 14, 2020, 03:33

It looks like your image is cropped because your formula is incomplete and missing some terms if Rii is the auto-correlation function.

Nonetheless if you start with the definition of the turbulent dissipation rate, recognize that there is the trace of the Reynolds stress tensor hiding in there. Not that many tricks except abusing relations.

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Periodic Boundary conditions for turbulent flow in ANSYS fluent?	dfonseka	FLUENT	2	April 20, 2018 12:25
Why can i use a laminar solver for a turbulent flow? [Heat transfer problem]	blackbow	CFX	1	November 22, 2016 04:42
Use of laminar model for a turbulent flow	jcamilleri	Main CFD Forum	1	July 6, 2014 06:54
Difference between recirculation zone and turbulent flow region	ashtonJ	Main CFD Forum	0	September 16, 2011 03:46
fluid flow fundas	ram	Main CFD Forum	5	June 17, 2000 21:31

April 14, 2020, 03:33		#2
LuckyTran Senior Member Lucky Join Date: Apr 2011 Location: Orlando, FL USA Posts: 5,674 Rep Power: 65	It looks like your image is cropped because your formula is incomplete and missing some terms if Rii is the auto-correlation function. Nonetheless if you start with the definition of the turbulent dissipation rate, recognize that there is the trace of the Reynolds stress tensor hiding in there. Not that many tricks except abusing relations.