Research Papers

Guiding Actuator Designs for Active Flow Control of the Precessing Vortex Core by Adjoint Linear Stability Analysis

[+] Author and Article Information
Jens S. Müller

Institut für Strömungsmechanik und
Technische Akustik,
Technische Universität Berlin,
Müller-Breslau-Str. 8,
Berlin 10623, Germany
e-mail: jens.mueller@tu-berlin.de

Finn Lückoff, Kilian Oberleithner

Institut für Strömungsmechanik und
Technische Akustik,
Technische Universität Berlin,
Müller-Breslau-Str. 8,
Berlin 10623, Germany

1Corresponding author.

Manuscript received June 22, 2018; final manuscript received July 5, 2018; published online December 7, 2018. Editor: Jerzy T. Sawicki.

J. Eng. Gas Turbines Power 141(4), 041028 (Dec 07, 2018) (9 pages) Paper No: GTP-18-1312; doi: 10.1115/1.4040862 History: Received June 22, 2018; Revised July 05, 2018

The fundamental impact of the precessing vortex core (PVC) as a dominant coherent flow structure in the flow field of swirl-stabilized gas turbine combustors has still not been investigated in depth. In order to do so, the PVC needs to be actively controlled to be able to set its parameters independently to any other of the combustion system. In this work, open-loop actuation is applied in the mixing section between the swirler and the generic combustion chamber of a nonreacting swirling jet setup to investigate the receptivity of the PVC with regard to its lock-in behavior at different streamwise positions. The mean flow in the mixing section as well as in the combustion chamber is measured by stereoscopic particle image velocimetry (SPIV), and the PVC is extracted from the snapshots using proper orthogonal decomposition (POD). The lock-in experiments reveal the axial position in the mixing section that is most suitable for actuation. Furthermore, a global linear stability analysis (LSA) is conducted to determine the adjoint mode of the PVC which reveals the regions of highest receptivity to periodic actuation based on mean flow input only. This theoretical receptivity model is compared with the experimentally obtained receptivity data, and the applicability of the adjoint-based model for the prediction of optimal actuator designs is discussed.

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Fig. 1

Experimental setup: (a) sectional view, with SPIV domains and actuator position xa/D=−2 and (b) top view, with pressure tap positions, laser sheet and camera arrangement

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Fig. 2

Normalized mean flow, normalized POD mode and normalized LSA mode: (a) mean flow, axial, (b) POD mode, transverse, and (c) LSA mode, transverse

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Fig. 3

Eigenvalue spectrum with frequency ℜ(f) and growth rate ℑ(f) of the eigenvalues, selected PVC mode (filled circle •) and measured experimental frequency (vertical solid line)

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Fig. 4

Normalized absolute value of the adjoint LSA modes (left: axial, center: transverse/radial, right: out-of-plane/azimuthal)

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Fig. 5

Forcing modes and their external feedback in lock-in state inside the tube for xa/D=−2, ff/fn=0.95: (a) normalized absolute value of forcing modes (left: axial, center: transverse/radial, right: out-of-plane/azimuthal) and (b) normalized external feedback for each forcing component (left: axial, center: transverse/radial, right: out-of-plane/azimuthal)

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Fig. 6

Normalized theoretical receptivity and experimental receptivity for varied actuator positions xa/D

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Fig. 7

Lock-in diagram with linear fits for varied actuator positions xa/D



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