Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2025-01-05T13:56:04.609Z Has data issue: false hasContentIssue false
  • English
  • Français

Self-sustained hydrodynamic oscillations in lifted jet diffusion flames: origin and control

Published online by Cambridge University Press:  19 June 2015

Ubaid Ali Qadri Open the ORCID record for Ubaid Ali Qadri [Opens in a new window] ,
Gary J. Chandler  and
Matthew P. Juniper
Ubaid Ali Qadri
Affiliation:
Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK
Gary J. Chandler
Affiliation:
Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK
Matthew P. Juniper
Affiliation:
Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

We use direct numerical simulation (DNS) of the Navier–Stokes equations in the low-Mach-number limit to investigate the hydrodynamic instability of a lifted jet diffusion flame. We obtain steady solutions for flames using a finite rate reaction chemistry, and perform a linear global stability analysis around these steady flames. We calculate the direct and adjoint global modes and use these to identify the regions of the flow that are responsible for causing oscillations in lifted jet diffusion flames, and to identify how passive control strategies might be used to control these oscillations. We also apply a local stability analysis to identify the instability mechanisms that are active. We find that two axisymmetric modes are responsible for the oscillations. The first is a high-frequency mode with wavemaker in the jet shear layer in the premixing zone. The second is a low-frequency mode with wavemaker in the outer part of the shear layer in the flame. We find that both of these modes are most sensitive to feedback involving perturbations to the density and axial momentum. Using the local stability analysis, we find that the high-frequency mode is caused by a resonant mode in the premixing region, and that the low-frequency mode is caused by a region of local absolute instability in the flame, not by the interaction between resonant modes, as proposed in Nichols et al. (Phys. Fluids, vol. 21, 2009, article 015110). Our linear analysis shows that passive control of the low-frequency mode may be feasible because regions up to three diameters away from the fuel jet are moderately sensitive to steady control forces.

JFM classification

Instability: Absolute/convective instability Wakes/Jets: Jets Reacting Flows: Laminar reacting flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 775 , 25 July 2015 , pp. 201 - 222
Check for updates
Copyright
© 2015 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Akervik, E., Brandt, L., Henningson, D. S., Hoepffner, J., Marxen, O. & Schlatter, P. 2006 Steady solutions of the Navier–Stokes equations by selective frequency damping. Phys. Fluids 18, 068102.CrossRefGoogle Scholar
Boxx, I., Arndt, C., Carter, C. D. & Meier, W. 2012 High-speed laser diagnostics for the study of flame dynamics in a lean premixed gas turbine model combustor. Exp. Fluids 52 (3), 555–567.Google Scholar
Candel, S., Durox, D., Schuller, T., Bourqouin, J.-F. & Moeck, J. P. 2014 Dynamics of swirling flames. Annu. Rev. Fluid Mech. 36, 147–173.Google Scholar
Chakravarthy, S. R., Shreenivasan, O. J., Boehm, B., Dreizler, A. & Janicka, J. 2007 Experimental characterization of onset of acoustic instability in a nonpremixed half-dump combustor. J. Acoust. Soc. Am. 122 (1), 120–127.Google Scholar
Chandler, G. J., Juniper, M. P., Nichols, J. W. & Schmid, P. J. 2012 Adjoint algorithms for the Navier–Stokes equations in the low Mach number limit. J. Comput. Phys. 231 (4), 1900–1916.CrossRefGoogle Scholar
Giannetti, F. & Luchini, P. 2007 Structural sensitivity of the first instability of the cylinder wake. J. Fluid Mech. 581, 167–197.CrossRefGoogle Scholar
Giauque, A., Selle, L., Gicquel, L., Poinsot, T., Buechner, H., Kaufmann, P. & Wrebs, W. 2005 System identification of a large-scale swirled partially premixed combustor using les and measurements. J. Turbul. 6 (21), 1–20.Google Scholar
Healey, J. J. 2007 Enhancing the absolute instability of a boundary layer by adding a far-away plate. J. Fluid Mech. 579, 29–61.Google Scholar
Hill, D. C.1992 A theoretical approach for analyzing the re-stabilization of wakes. AIAA Paper 92-0067.Google Scholar
Huerre, P. & Monkewitz, P. A. 1990 Local and global instabilities in spatially developing flows. Annu. Rev. Fluid Mech. 22, 473–537.CrossRefGoogle Scholar
Juniper, M. P. 2007 The full impulse response of two-dimensional shear flows and implications for confinement. J. Fluid Mech. 590, 163–185.Google Scholar
Juniper, M. P.2012 Absolute and convective instability in gas turbine fuel injectors. In Proceedings of ASME Turbo Expo: Turbine Technical Conference and Exposition, June 11–15, 2012, Copenhagen, Denmark, paper no. GT2012-68253.Google Scholar
Juniper, M. & Candel, S. 2003 Edge diffusion flame stabilization behind a step over a liquid reactant. J. Propul. Power 19 (3), 332–341.Google Scholar
Juniper, M. P., Tammisola, O. & Lundell, F. 2011 The local and global stability of confined planar wakes at intermediate Reynolds number. J. Fluid Mech. 686, 218–238.Google Scholar
Lehoucq, R. B., Sorensen, D. C. & Yang, C. 1998 ARPACK Users’ Guide: Solution of Large-Scale Eigenvalue Problems with Implicity Restarted Arnoldi Methods. SIAM.Google Scholar
Lingens, A., Neemann, K., Meyer, J. & Schreiber, M. 1996 Instability of diffusion flames. Proc. Combust. Inst. 26, 1053–1061.Google Scholar
Manoharan, K., Hansford, S., O’Connor, J. & Hemchandra, S.2015 Instability mechanism in a swirl flow combustor: precession of vortex core and influence of density gradient. In Proceedings of ASME Turbo Expo: Turbine Technical Conference and Exposition, June 15–19, 2012, Montreal, Canada, paper no. GT2015-42985.Google Scholar
Marquet, O., Sipp, D. & Jacquin, L. 2008 Sensitivity analysis and passive control of cylinder flow. J. Fluid Mech. 615, 221–252.Google Scholar
Michalke, A. 1984 Survey on jet instability theory. Prog. Aerosp. Sci. 21, 159–199.Google Scholar
Monkewitz, P. A., Huerre, P. & Chomaz, J.-M. 1993 Global linear stability analysis of weakly non-parallel shear flows. J. Fluid Mech. 251, 1–20.CrossRefGoogle Scholar
Nichols, J. W., Chomaz, J.-M. & Schmid, P. J. 2009 Twisted absolute instability in lifted flames. Phys. Fluids 21, 015110.CrossRefGoogle Scholar
Nichols, J. W. & Schmid, P. J. 2008 The effect of a lifted flame on the stability of round fuel jets. J. Fluid Mech. 609, 275–284.Google Scholar
Oberleithner, K., Schimek, S. & Paschereit, C. O. 2015a Shear flow instabilities in swirl-stabilized combustors and their impact on the amplitude dependent flame response: a linear stability analysis. Combust. Flame 162, 86–99.Google Scholar
Oberleithner, K., Stohr, M., Seong, H. I., Arndt, C. M. & Steinberg, A. M.2015b Formation and flame-induced suppression of the precessing vortex core in a swirl combustor: experiments and linear stability analysis. Combust. Flame (in press);doi:10.1016/j.combustflame.2015.02.015.CrossRefGoogle Scholar
Qadri, U. A.2013 Global stability and control of swirling jets and flames. PhD thesis, University of Cambridge.Google Scholar
Roux, S., Lartigue, G., Poinsot, T., Meier, U. & Berat, C. 2005 Studies of mean and unsteady flow in a swirled combustor using experiments, acoustic analysis, and large eddy simulations. Combust. Flame 141, 40–54.Google Scholar
Schadow, K. C. & Gutmark, E. 1992 Combustion instability related to vortex shedding in dump combustors and their passive control. Prog. Energy Combust. Sci. 18 (2), 117–132.Google Scholar
Terhaar, S., Oberleithner, K. & Paschereit, C. O. 2015 Key parameters governing the precessing vortex core in reacting flows: an experimental and analytical study. Proc. Combust. Inst. 35, 3347–3354.CrossRefGoogle Scholar
Toong, T.-Y., Salant, R. F., Stopford, J. M. & Anderson, G. Y. 1965 Mechanisms of combustion instability. Proc. Combust. Inst. 1301–1313.CrossRefGoogle Scholar