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Scientific and Technical Aerospace Reports Volume 39 April 6, 2001

Scientific and Technical Aerospace Reports Volume 39 April 6, 2001

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<strong>2001</strong>0022635 Stanford Univ., Center for Turbulence Research, Stanford, CA USA<br />

Control <strong>and</strong> Optimization of Turbulent Jet Mixing<br />

Hilgers, Angela, Stanford Univ., USA; Annual Research Briefs - 2000: Center for Turbulence Research; December 2000, pp.<br />

45-54; In English; See also <strong>2001</strong>0022631; No Copyright; Avail: CASI; A02, Hardcopy; A03, Microfiche<br />

The control of turbulent jet flows has applications in various fields such as combustion, aerodynamic noise, <strong>and</strong> jet propulsion.<br />

Control of mixing can be achieved by manipulation of the large-scale, global instabilities of the flow. In combustors it is<br />

important to enhance turbulent mixing of the chemical species in order to achieve high combustion efficiency <strong>and</strong> to reduce the<br />

emission of pollutants. In jet engines, aerodynamic noise can be reduced by controlling flow unsteadiness that produces noise.<br />

One aim of enhanced mixing in jet propulsion applications is to decrease the plume temperature <strong>and</strong> suppress infrared radiation.<br />

The mixing rate of a turbulent jet can be significantly altered by applying a suitable excitation at the jet orifice. Since the external<br />

forcing interacts with the natural modes of the jet in a nonlinear way, it is not possible to predict which kind of actuation is optimal<br />

to increase mixing. Various experiments have been carried out that study the reaction of jets to the nozzle geometry <strong>and</strong> to external<br />

forcing. Different types of actuators such as piezoelectric devices <strong>and</strong> synthetic jets have been tested. It has been shown that a large<br />

spreading of the jet can be achieved with a small mass flow actuation if suitable frequencies are chosen. Numerical simulations<br />

of compressible <strong>and</strong> incompressible jet flows have been carried out that confirm many observations made in experiments with<br />

periodically forced jets. So far it is difficult to carry out a systematic search for the optimal forcing because the simulations are<br />

very computationally intensive. Koumoutsakos et al. showed that evolution strategies are capable of finding suitable actuations<br />

for a vortex model <strong>and</strong> direct numerical simulations of compressible jets. In this paper we describe a systematic search for combined<br />

axial <strong>and</strong> helical forcing of a round jet that maximize mixing. While stochastic search strategies <strong>and</strong> direct numerical simulation<br />

(DNS) of a jet have been combined before, this work concentrates on the optimization of jets at higher Reynolds numbers<br />

using large eddy simulation (LES). Different search strategies are introduced <strong>and</strong> their performance for the optimization of jet<br />

mixing is compared. The strategies are used to search for an actuation that maximizes mixing in jets at Reynolds numbers Re =<br />

6000 <strong>and</strong> Re 100,000.<br />

Author<br />

Jet Mixing Flow; Large Eddy Simulation; Turbulent Jets; Helical Flow; Axial Flow<br />

<strong>2001</strong>0022637 Universidad Politecnica de Madrid, Madrid, Spain<br />

Low-Dimensional Dynamics of Near-Wall Turbulence<br />

Jimenez, Javier, Universidad Politecnica de Madrid, Spain; Simens, Mark, Universidad Politecnica de Madrid, Spain; Annual<br />

Research Briefs - 2000: Center for Turbulence Research; December 2000, pp. 67-78; In English; See also <strong>2001</strong>0022631; M.S.<br />

is supported by the TMR program.<br />

Contract(s)/Grant(s): CT98-0175; No Copyright; Avail: CASI; A03, Hardcopy; A03, Microfiche<br />

Wall-bounded turbulent shear flows are perhaps the last area in ’classical’ incompressible turbulence in which there still are<br />

open questions about basic physical mechanisms. There are two competing conceptual models. In the first one, wall turbulence<br />

is just a modification of ordinary shear turbulence occurring when the latter is a near wall, <strong>and</strong> is therefore dependent on the prior<br />

existence of an outside turbulent flow. In the second, it is an essentially different phenomenon which coexists with the outer flow<br />

<strong>and</strong> merges into it when the distance from the wall is large enough. Jimenez took the latter view <strong>and</strong> argued that the dynamics of<br />

near-wall turbulence is essentially different from the Kolmogorov mechanism. While the latter is fundamentally isotropic <strong>and</strong> the<br />

energy is dissipated locally by cascading to smaller length scales, wall-bounded flows are intrinsically inhomogeneous <strong>and</strong> anisotropic,<br />

<strong>and</strong> a substantial part of their energy diffuses from the wall into the outer flow, increasing, rather than decreasing, its length<br />

scales in the process. In this paper we examine the dynamics of the structures of the viscous <strong>and</strong> buffer layers in very simplified<br />

situations in which their interaction with the outer flow is severely restricted. Even natural flows scale in this region approximately<br />

in wall units, defined in terms of the kinematic viscosity v <strong>and</strong> of the friction velocity u(sub tau) = (v (diff(y)) U)(exp 1/2), where<br />

U is the mean velocity profile. In that approximation, <strong>and</strong> if we admit that near-wall turbulence is not a just a modification by the<br />

wall of the outside turbulent flow, only local quantities such as dimensionless distance to the wall, y(sup +) = u(sub tau)y/v, should<br />

matter, while global parameters such as the Reynolds number of the flow should be irrelevant. In the reduced systems considered<br />

here, the outer flow is effectively removed, <strong>and</strong> the scaling in wall variables should be strict. No bulk Reynolds number may be<br />

relevant because no bulk turbulent flow exists. Since the local wall-normal Reynolds numbers are low, we may expect quasi-laminar<br />

structures whose behavior can be understood deterministically. In this sense this region corresponds to the Kolmogorov viscous<br />

range of isotropic turbulence, but we will see that, while the latter is a sink for the energy cascading from the larger scales,<br />

the structures studied here are not only self-sustaining, but actually export energy to the rest of the flow. The organization of this<br />

paper is as follows. The energy balance is briefly examined in the next section. The wall region <strong>and</strong> the numerical experiments<br />

56

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