|
[Sponsors] |
April 13, 2020, 23:31 |
Turbulent flow Question
|
#1 |
New Member
Von
Join Date: Dec 2017
Posts: 3
Rep Power: 8 |
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). |
|
April 14, 2020, 04:33 |
|
#2 |
Senior Member
Lucky
Join Date: Apr 2011
Location: Orlando, FL USA
Posts: 5,747
Rep Power: 66 |
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. |
|
Tags |
isotropic turbulence, turbulence analysis, turbulent flows |
|
|
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
Periodic Boundary conditions for turbulent flow in ANSYS fluent? | dfonseka | FLUENT | 2 | April 20, 2018 13:25 |
Why can i use a laminar solver for a turbulent flow? [Heat transfer problem] | blackbow | CFX | 1 | November 22, 2016 05:42 |
Use of laminar model for a turbulent flow | jcamilleri | Main CFD Forum | 1 | July 6, 2014 07:54 |
Difference between recirculation zone and turbulent flow region | ashtonJ | Main CFD Forum | 0 | September 16, 2011 04:46 |
fluid flow fundas | ram | Main CFD Forum | 5 | June 17, 2000 22:31 |