Is turbulence disripable by chaos?

Matthias

Dear all,

I have two questions concerning turbulence:

(1) From the lectures given in turbulence I know that turbulence is a random process discripable by statistics. A definition of chaos says: "... chaos is a kind of order without periodicity... ". Well, from my point of view turbulence looks like chaos - am I right?

(2) From the derivation of the RANS-Equation I get an additional term rho*u'*v'. Further from the derivation of the k-equation I get an term called dissipation term epsilon:= mu*(du'/dx_j)^2 (averaged). If I consider (theoreticaly) an ideal fluid without viscosity, this term becomes epsilon =0. That means that no dissipation takes place, but the production of turbulence is not effected from the viscosity term. I assume it is possible to produce turbulence in an invicid fluid but what happens with the dissipation of turbulence, is the energy cascade still applicable, or is an invicid flow always laminar?

Thanks for your help

Matthias