Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-28T08:16:28.883Z Has data issue: false hasContentIssue false

6 - Acoustic Wave Propagation II: Heat Release, Complex Geometry, and Mean Flow Effects

Published online by Cambridge University Press:  27 October 2021

Tim C. Lieuwen
Affiliation:
Georgia Institute of Technology
Get access

Summary

This chapter follows Chapter 5 by treating the additional physical processes associated with sound wave propagation through an inhomogeneous, variable-area region with bulk flow. In the rest of this section we discuss four generalizations introduced by these effects: (1) wave reflection and refraction, (2) changes in disturbance amplitude and relative amplitudes of pressure and velocity disturbances.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2021

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

Subrahmanyam, P.B., Sujith, R.I., and Lieuwen, T.C., A family of exact transient solutions for acoustic wave propagation in inhomogeneous, non-uniform area ducts. Journal of Sound and Vibration, 2001, 240(4): pp. 705715.Google Scholar
Ingard, U. and Singhal, V., Effect of flow on the acoustic resonances of an open-ended duct. The Journal of the Acoustical Society of America, 1975, 58: pp. 788793.Google Scholar
Peters, M., Hirschberg, A., Reijnen, A., and Wijnands, A., Damping and reflection coefficient measurements for an open pipe at low Mach and low Helmholtz numbers. Journal of Fluid Mechanics, 1993, 256: pp. 499534.Google Scholar
Kumar, B. and Sujith, R., Exact solution for one-dimensional acoustic fields in ducts with polynomial mean temperature profiles. Journal of Vibration and Acoustics, 1998, 120.Google Scholar
Cummings, A., Ducts with axial temperature gradients: An approximate solution for sound transmission and generation. Journal of Sound and Vibration, 1977, 51(1): pp. 5567.Google Scholar
Cummings, A., Sound generation and transmission in flow ducts with axial temperature gradients. Journal of Sound and Vibration, 1978, 57(2): pp. 261279.Google Scholar
Sujith, R.I., Waldherr, G.A., and Zinn, B.T., An exact solution for one-dimensional acoustic fields in ducts with an axial temperature gradient. Journal of Sound and Vibration, 1995, 184(3): pp. 389402.Google Scholar
Marble, F. and Candel, S., Acoustic disturbance from gas non-uniformities convected through a nozzle. Journal of Sound and Vibration, 1977, 55(2): pp. 225243.Google Scholar
Williams, J. and Howe, M., The generation of sound by density inhomogeneities in low Mach number nozzle flows. Journal of Fluid Mechanics, 1975, 70(03): pp. 605622.Google Scholar
Goh, C.S. and Morgans, A.S., Phase prediction of the response of choked nozzles to entropy and acoustic disturbances. Journal of Sound and Vibration, 2011, 330(21): pp. 51845198.Google Scholar
Bake, F., Kings, N., and Roehle, I., Fundamental mechanism of entropy noise in aero-engines: Experimental investigation. Journal of Engineering for Gas Turbines and Power, 2008, 130: p. 011202.Google Scholar
O’Connor, J., Acharya, V., and Lieuwen, T., Transverse combustion instabilities: Acoustic, fluid mechanic, and flame processes. Progress in Energy and Combustion Science, 2015, 49: pp. 139.Google Scholar
Blimbaum, J., Zanchetta, M., Akin, T., Acharya, V., O’Connor, J., Noble, D., and Lieuwen, T., Transverse to longitudinal acoustic coupling processes in annular combustion chambers. International Journal of Spray and Combustion Dynamics, 2012, 4(4): pp. 275298.Google Scholar
Dawson, J.R. and Worth, N.A., The effect of baffles on self-excited azimuthal modes in an annular combustor. Proceedings of the Combustion Institute, 2015, 35(3): pp. 32833290.Google Scholar
Bechert, D., Sound absorption caused by vorticity shedding, demonstrated with a jet flow. Journal of Sound and Vibration, 1980, 70(3): pp. 389405.Google Scholar
Dowling, A. and Hughes, I., Sound absorption by a screen with a regular array of slits. Journal of Sound and Vibration, 1992, 156(3): pp. 387405.Google Scholar
Howe, M.S., Acoustics of Fluid–Structure Interactions. 1st ed. Cambridge Monographs on Mechanics. 1998, Cambridge: Cambridge University Press, p. 572.Google Scholar
Zinn, B., A theoretical study of non-linear damping by Helmholtz resonators. Journal of Sound and Vibration, 1970, 13(3): pp. 347356.Google Scholar
Scarborough, D.E., An Experimental and Theoretical Investigation of a Fuel System Tuner for the Suppression of Combustion Driven Oscillations. 2010, Georgia Institute of Technology.Google Scholar
Peat, K., Ih, J., and Lee, S., The acoustic impedance of a circular orifice in grazing mean flow: comparison with theory. Acoustical Society of America Journal, 2003, 114: pp. 30763086.Google Scholar
Culick, F.E.C., Unsteady Motions in Combustion Chambers for Propulsion Systems. 2006, RTO/NATO. Document # AG-AVT-039.Google Scholar
Temkin, S., Elements of Acoustics. 2001, Acoustical Society of America.Google Scholar
Ronneberger, D. and Ahrens, C., Wall shear stress caused by small amplitude perturbations of turbulent boundary-layer flow: An experimental investigation. Journal of Fluid Mechanics, 1977, 83(03): pp. 433464.Google Scholar
Lieuwen, T., Analysis of acoustic wave interactions with turbulent premixed flames. Proceedings of the Combustion Institute, 2002, 29(2): pp. 18171824.Google Scholar
Lieuwen, T., Theory of high frequency acoustic wave scattering by turbulent flames. Combustion and Flame, 2001, 126(1–2): pp. 14891505.Google Scholar
Strahle, W.C., On combustion generated noise. Journal of Fluid Mechanics, 1971, 49(02): pp. 399414.Google Scholar
Putnam, A., Combustion roar of seven industrial burners. Journal of the Institute of Fuel, 1976, 49(400): pp. 135138.Google Scholar
Rajaram, R. and Lieuwen, T., Acoustic radiation from turbulent premixed flames. Journal of Fluid Mechanics, 2009, 637: pp. 357385.Google Scholar
McManus, K., Han, F., Dunstan, W., Barbu, C., and Shah, M. Modeling and control of combustion dynamics in industrial gas turbines, in ASME Turbo Expo 2004: Power for Land, Sea, and Air, 2004, Vienna, Austria: ASME.Google Scholar
Stone, C. and Menon, S., Swirl control of combustion instabilities in a gas turbine combustor. Proceedings of the Combustion Institute, 2002, 29(1): pp. 155160.Google Scholar
Menon, S. and Jou, W.H., Large-eddy simulations of combustion instability in an axisymmetric ramjet combustor. Combustion Science and Technology, 1991, 75(1–3): pp. 5372.Google Scholar
Bhatia, R. and Sirignano, W., One-dimensional analysis of liquid-fueled combustion instability. Journal of Propulsion and Power, 1991, 7: pp. 953961.Google Scholar
Dowling, A., Thermoacoustic sources and instabilities, in Modern Methods in Analytical Acoustics: Lecture Notes, Crighton, D.G., ed. 1992, Springer.Google Scholar
Lieuwen, T. and Zinn, B.T., Application of multipole expansions to sound generation from ducted unsteady combustion processes. Journal of Sound and Vibration, 2000, 235(3): pp. 405414.Google Scholar
Tang, Y., Waldherr, G., Jagoda, J., and Zinn, B., Heat release timing in a nonpremixed Helmholtz pulse combustor. Combustion and Flame, 1995, 100(1–2): pp. 251261.Google Scholar
Menon, S., Secondary fuel injection control of combustion instability in a ramjet. Combustion Science and Technology, 1994, 100(1–6): pp. 385393.Google Scholar
McManus, K., Poinsot, T., and Candel, S., A review of active control of combustion instabilities. Progress in Energy and Combustion Science, 1993, 19(1): pp. 129.Google Scholar
Lieuwen, T.C. and Yang, V., Combustion Instabilities in Gas Turbine Engines: Operational Experience, Fundamental Mechanisms, and Modeling, Lieuwen, T.C. and Yang, V., eds. 2005, AIAA.Google Scholar
Candel, S.M., Combustion instabilities coupled by pressure waves and their active control. Symposium (International) on Combustion, 1992, 24(1): pp. 12771296.Google Scholar
Sattinger, S.S., Neumeier, Y., Nabi, A., Zinn, B.T., Amos, D.J., and Darling, D.D., Sub-scale demonstration of the active feedback control of gas-turbine combustion instabilities. Journal of Engineering for Gas Turbines and Power, 2000, 122(2): pp. 262268.Google Scholar
Cohen, J.M., Proscia, W., and Delaat, J., Characterization and Control of Aeroengine Combustion Instability: Pratt & Whitney and NASA Experience, in Combustion Instabilities in Gas Turbine Engines: Operational Experience, Fundamental Mechanisms, and Modeling, Lieuwen, T.C. and Yang, V., eds. 2005, AIAA. pp. 113144.Google Scholar
Gonzalez-Juez, E.D., Lee, J.G., and Santavicca, D., A study of combustion instabilities driven by flame–vortex interactions, in 41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, 2005, pp. 1–10.Google Scholar
Lovett, J.A. and Uznanski, K.T. Prediction of combustion dynamics in a staged premixed combustor, in ASME Turbo Expo 2002: Power for Land, Sea, and Air. 2002. Amsterdam, Netherlands: ASME.Google Scholar
Lieuwen, T.C., Experimental investigation of limit-cycle oscillations in an unstable gas turbine combustor. Journal of Propulsion and Power, 2002, 18(1): pp. 6167.Google Scholar
Culick, F. and Yang, V., Prediction of the stability of nonsteady motions in solidpropellant rocket motors, in Nonsteady Burning and Combustion Stability of Solid-Propellant, De Luca, L., Price, E.W., and Summerfield, M., eds. 1992. pp. 719–780.Google Scholar
Culick, F., Nonlinear behavior of acoustic waves in combustion chambers. Acta Astronautica, 1976, 3(9–10): pp. 715734.Google Scholar
Wicker, J.M., Greene, W.D., Kim, S.I., and Yang, V., Triggering of longitudinal combustion instabilities in rocket motors: nonlinear combustion response. Journal of Propulsion and Power, 1996, 12(6): pp. 11481158.Google Scholar
Yang, V., Kim, S., and Culick, F., Triggering of longitudinal pressure oscillations in combustion chambers. I. Nonlinear gas dynamics. Combustion Science and Technology, 1990, 72(4–6): pp. 183214.Google Scholar
Zinn, B. and Powell, E. Nonlinear combustion instability in liquid-propellant rocket engines, Symposium (International) on Combustion, 1971, 13(1): 491503.Google Scholar
Portillo, J.E., Sisco, J.C., Yu, Y., Anderson, W.E., and Sankaran, V., Application of a generalized instability model to a longitudinal mode combustion instability, in 43rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. 2007, Cincinnati, OH.Google Scholar
Krediet, H.J., Krebs, W., Portillo, J.E., and Kok, J., Prediction of thermoacoustic limit cycles during premixed combustion using the modified Galerkin approach, in 46th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. 2010, Nashville, TN.Google Scholar
Nayfeh, A.H. and Mook, D.T., Nonlinear Oscillations. 1995, Wiley.Google Scholar
Krylov, N. and Bogolyubov, N., Introduction to Non-Linear Mechanics. 1949, Princeton University Press.Google Scholar
Awad, E. and Culick, F., On the existence and stability of limit cycles. for longitudinal acoustic modes in a combustion chamber. Combustion Science and Technology, 1986, 46(3): pp. 195222.Google Scholar
Paparizos, L.G. and Culick, F., The two-mode approximation to nonlinear acoustics in combustion chambers. I. Exact solution for second order acoustics. Combustion Science and Technology, 1989, 65(1): pp. 3965.Google Scholar
Mitchell, C., Crocco, L., and Sirignano, W., Nonlinear longitudinal instability in rocket motors with concentrated combustion. Combustion Science and Technology, 1969, 1(1): pp. 3564.Google Scholar
Zinn, B. and Powell, E., Nonlinear combustion instability in liquid-propellant rocket engines. Symposium (International) on Combustion, 1970, 13(1): pp. 491503.Google Scholar
Culick, F., Burnley, V., and Swenson, G., Pulsed instabilities in solid-propellant rockets. Journal of Propulsion and Power, 1995, 11(4): pp. 657665.Google Scholar
Culick, F., Non-linear growth and limiting amplitude of acoustic oscillations in combustion chambers. Combustion Science and Technology, 1971, 3(1): pp. 116.Google Scholar
Zinn, B., A Theoretical Study of Nonlinear Transverse Combustion Instability in Liquid Propellant Rocket Motors. 1966, Princeton University.Google Scholar
Zinn, B., A theoretical study of nonlinear combustion instability in liquid-propellant rocket engines. AIAA Journal, 1968, 6: pp. 19661972.Google Scholar
Culick, F., Nonlinear behavior of acoustic waves in combustion chambers II. Acta Astronautica, 1976, 3(9–10): pp. 735757.Google Scholar
Kim, S., Nonlinear Combustion Instabilities in Combustion Chambers. 1989, University Park, PA (USA): Pennsylvania State University.Google Scholar
Yang, V. and Culick, F.E.C., On the existence and stability of limit cycles for transverse acoustic oscillations in a cylindrical combustion chamber. 1: Standing modes. Combustion Science and Technology, 1990, 72(1): pp. 3765.Google Scholar
Kabiraj, L., Sujith, R.I., and Wahi, P., Bifurcations of self-excited ducted laminar premixed flames. Journal of Engineering for Gas Turbines and Power, 2012, 134(3): 031502.Google Scholar
Burnley, V.S. and Culick, F.E.C., On the energy transfer between transverse acoustic modes in a cylindrical combustion chamber. Combustion Science and Technology, 1999, 144(1): pp. 119.Google Scholar
Lawrenson, C.C., Lipkens, B., Lucas, T.S., Perkins, D.K., and Van Doren, T.W., Measurements of macrosonic standing waves in oscillating closed cavities. The Journal of the Acoustical Society of America, 1998, 104: pp. 623636.Google Scholar
Zinn, B. and Crocco, L., Periodic finite-amplitude oscillations in slowly converging nozzles. Acta Astronautica, 1968, 13(5–6): pp. 481488.Google Scholar
Courant, R. and Hilbert, D., Methods of Mathematical Physics. 1989, John Wiley & Sons, Inc.Google Scholar
Nayfeh, A.H., Perturbation Methods. 1973, Wiley.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×