Velocity and Flame Wrinkling Characteristics of a Transversely Forced, Bluff-Body Stabilized Flame, Part II: Flame Response Modeling and Comparison with Measurements

REFERENCES

• Acharya , V. , Shin , D. , Shreekrishna , and Lieuwen , T. 2012 . Swirl effects on harmonically excited, premixed flame kinematics . Combust. Flame , 159 , 1139 – 1150 .
   Web of Science ®Google Scholar
• Armitage , C.A. , Balachandran , R. , Mastorakos , E. , and Cant , R.S. 2006 . Investigation of the nonlinear response of turbulent premixed flames to imposed inlet velocity oscillations . Combust. Flame , 146 , 419 – 436 .
   Web of Science ®Google Scholar
• Ayache , S. , Dawson , J. , Triantafyllidis , A. , Balachandran , R. , and Mastorakos , E. 2010 . Experiments and large-eddy simulations of acoustically-forced bluff-body flows . Int. J. Heat Fluid Flow , 31 , 754 – 766 .
   Web of Science ®Google Scholar
• Baillot , F. , Bourehla , A. , and Durox , D. 1996 . The characteristics method and cusped flame fronts . Combust. Sci. Technol. , 112 , 327 – 350 .
   Web of Science ®Google Scholar
• Balachandran , R. , Ayoola , B.O. , Kaminski , C.F. , Dowling , A.P. , and Mastorakos , E. 2005 . Experimental investigation of the nonlinear response of turbulent premixed flames to imposed inlet velocity oscillations . Combust. Flame , 143 , 37 – 55 .
   Web of Science ®Google Scholar
• Birbaud , A. , Durox , D. , and Candel , S. 2006 . Upstream flow dynamics of a laminar premixed conical flame submitted to acoustic modulations . Combust. Flame , 146 , 541 – 552 .
   Web of Science ®Google Scholar
• Blimbaum , J. , Zanchetta , M. , Akin , T. , Acharya , V. , O'Connor , J. , Noble , D. , and Lieuwen , T. 2012. Transverse to longitudinal acoustic coupling processes in annular combustion chambers. Int. J. Spray Combust. Dyn. , 4, 275–298.
   Web of Science ®Google Scholar
• Bourehla , A. , and Baillot , F. 1998 . Appearance and stability of a laminar conical premixed flame subjected to an acoustic perturbation . Combust. Flame , 114 , 303 – 318 .
   Web of Science ®Google Scholar
• Boyer , L. , and Quinard , J. 1990 . On the dynamics of anchored flames . Combust. Flame , 82 , 51 – 65 .
   Web of Science ®Google Scholar
• Candel , S. 2002 . Combustion dynamics and control: Progress and challenges . Proc. Combust. Inst. , 29 , 1 – 28 .
   Web of Science ®Google Scholar
• Chakravarthy , V.K. , and Menon , S. 2001 . Large-eddy simulation of turbulent premixed flames in the flamelet regime . Combust. Sci. Technol. , 162 , 175 – 222 .
   Web of Science ®Google Scholar
• Chaparro , A. , Landry , E. , and Cetegen , B.M. 2006 . Transfer function characteristics of bluff-body stabilized, conical V-shaped premixed turbulent propane-air flames . Combust. Flame , 145 , 290 – 299 .
   Web of Science ®Google Scholar
• Dowling , A. 1997 . Nonlinear self-excited oscillations of a ducted flame . J. Fluid Mech. , 346 , 271 – 290 .
   Web of Science ®Google Scholar
• Dowling , A. 1999 . A kinematic model of a ducted flame . J. Fluid Mech. , 394 , 51 – 72 .
   Web of Science ®Google Scholar
• Ducruix , S. , Durox , D. , and Candel , S. 2000 . Theoretical and experimental determination of the transfer function of a laminar premixed flame . Proc. Combust. Inst. , 28 , 765 – 773 .
   Web of Science ®Google Scholar
• Ducruix , S. , Schuller , T. , Durox , D. , and Candel , S. 2003 . Combustion dynamics and instabilities: Elementary coupling and driving mechanisms . J. Propul. Power , 19 , 722 – 734 .
   Web of Science ®Google Scholar
• Durox , D. , Schuller , T. , and Candel , S. 2005 . Combustion dynamics of inverted conical flames . Proc. Combust. Inst. , 30 , 1717 – 1724 .
   Web of Science ®Google Scholar
• Emerson , B. , Mondragon , U. , Acharya , V. , Shin , D.-H. , Brown , C. , McDonnell , V. , and Lieuwen , T. 2013 . Velocity and flame wrinkling characteristics of a transversely forced bluff-body stabilized flame, Part I: Experiments and data analysis . Combust. Sci. Technol. , 185 ( 7 ), 1056 – 1076 .
   Web of Science ®Google Scholar
• Fleifil , M. , Annaswamy , A. , Ghoneim , Z. , and Ghoneim , A. 1996 . Response of a laminar premixed flame to flow oscillations: A kinematic model and thermoacoustic instability results . Combust. Flame , 106 , 487 – 510 .
   Web of Science ®Google Scholar
• Hegde , U.G. , Reuter , D. , Daniel , B.R. , and Zinn , B.T. 1987 . Flame driving of longitudinal instabilities in dump type ramjet combustors . Combust. Sci. Technol. , 55 , 125 – 138 .
   Web of Science ®Google Scholar
• Hemchandra , S. , Peters , N. , and Lieuwen , T. 2011 . Heat release response of acoustically forced turbulent premixed flames—role of kinematic restoration . Proc. Combust. Inst. , 33 , 1609 – 1617 .
   Web of Science ®Google Scholar
• Hemchandra , S. , Preetham , and Lieuwen , T.C. 2007 . Response of turbulent premixed flames to harmonic acoustic forcing . Proc. Combust. Inst. , 31 , 1427 – 1434 .
   Web of Science ®Google Scholar
• Hermanson , J.C. , and Dimotakis , P.E. 1989 . Effects of heat release in a turbulent, reacting shear layer . J. Fluid Mech. , 199 , 333 – 375 .
   Web of Science ®Google Scholar
• Kang , D.M. , Culick , F.E.C. , and Ratner , A. 2007 . Combustion dynamics of a low-swirl combustor . Combust. Flame , 151 , 412 – 425 .
   Web of Science ®Google Scholar
• Lieuwen , T. 2005 . Nonlinear kinematic response of premixed flames to harmonic velocity disturbances . Proc. Combust. Inst. , 30 , 1725 – 1732 .
   Web of Science ®Google Scholar
• Lieuwen , T.C. 2012 . Unsteady Combustor Physics , Cambridge University Press , New York .
   Google Scholar
• Lipatnikov , A. , and Sathiah , P. 2005 . Effects of turbulent flame development on thermoacoustic oscillations . Combust. Flame , 142 , 130 – 139 .
   Web of Science ®Google Scholar
• Markstein , G.H. 1964 . Nonsteady Flame Propagation , Pergamon , London .
   Google Scholar
• Palies , P. , Schuller , T. , Durox , D. , and Candel , S. 2011 . Modeling of premixed swirling flames transfer functions . Proc. Combust. Inst. , 33 , 2967 – 2974 .
   Web of Science ®Google Scholar
• Peters , N. 2000 . Turbulent Combustion , Cambridge University Press , Cambridge , UK .
   Google Scholar
• Poinsot , T. , and Candel , S. 1988. A nonlinear model for ducted flame combustion instabilities. Combust. Sci. Technol. , 61, 121–153.
   Web of Science ®Google Scholar
• Poinsot , T.J. , Trouve , A.C. , Veynante , D.P. , Candel , S.M. , and Esposito , E.J. 1987 . Vortex-driven acoustically coupled combustion instabilities . J. Fluid Mech. , 177 , 265 – 292 .
   Web of Science ®Google Scholar
• Preetham , Santosh , H. , and Lieuwen , T. 2008 . Dynamics of laminar premixed flames forced by harmonic velocity disturbances . J. Propul. Power , 24 , 1390 – 1402 .
   Web of Science ®Google Scholar
• Renard , P. , Thevenin , D. , Rolon , J. , and Candel , S. 2000 . Dynamics of flame/vortex interactons . Prog. Energy Combust. Sci. , 26 , 225 – 282 .
   Web of Science ®Google Scholar
• Santosh , H. , and Sujith , R.I. 2005 . Kinematic coupling effects on heat-release transfer function of a premixed flame . J. Propul. Power , 21 , 591 – 599 .
   Web of Science ®Google Scholar
• Schuller , T. , Ducruix , S. , Durox , D. , and Candel , S. 2002 . Modeling tools for the prediction of premixed flame transfer functions . Proc. Combust. Inst. , 29 , 107 – 113 .
   Web of Science ®Google Scholar
• Schuller , T. , Durox , D. , and Candel , S. 2003 . A unified model for the prediction of laminar flame transfer functions: Comparisons between conical and V-flame dynamics . Combust. Flame , 134 , 21 – 34 .
   Web of Science ®Google Scholar
• Shanbhogue , S. , and Lieuwen , T. 2006 . Response of a rod stabilized, premixed flame to longitudinal acoustic forcing. Presented at ASME Turbo Expo 2006: Power for Land, Sea and Air, Barcelona, Spain, May 8–11.
   Google Scholar
• Shanbhogue , S. , Shin , D.H. , Hemchandra , S. , Plaks , D. , and Lieuwen , T. 2009 . Flame sheet dynamics of bluff-body stabilized flames during longitudinal acoustic forcing . Proc. Combust. Inst. , 32 , 1787 – 1794 .
   Web of Science ®Google Scholar
• Shin , D. , and Lieuwen , T. 2013 . Flame wrinkle destruction processes in harmonically forced turbulent premixed flames . J. Fluid Mech , 721 , 484 – 513 .
   Web of Science ®Google Scholar
• Shin , D.H. , Plaks , D. , Lieuwen , T. , Mondragon , U. , Brown , C.T. , and McDonell , V. 2011 . Dynamics of longitudinally forced, bluff body stabilized flame . J. Propul. Power , 27 , 105 – 116 .
   Web of Science ®Google Scholar
• Smith , D.A. , and Zukoski , E.E. 1985 . Combustion instability sustained by unsteady vortex combustion. Presented at the AIAA/SAE/ASME/ASEE 21st Joint Propulsion Conference, Monterey, CA, July 8–11.
   Google Scholar
• Soteriou , M.C. , and Ghoniem , A.F. 1994 . The vorticity dynamics of an exothermic, spatially developing, forced, reacting shear layer . Proc. Combust. Inst. , 25 , 1265 – 1272 .
   Google Scholar
• Williams , F. 1987 . Turbulent combustion . The Mathematics of Combustion , J.D. Buckmaster (Ed.), Society for Industrial and Applied Mathematics, Philadelphia, pp . 97 – 131 .
   Google Scholar
• Williamson , C.H.K. 1996 . Vortex dynamics in the cylinder wake . Annu. Rev. Fluid Mech. , 28 , 477 – 539 .
   Web of Science ®Google Scholar
• You , D. , Huang , Y. , and Yang , V. 2005 . A generalized model of acoustic response of turbulent premixed flame and its application to gas-turbine combustion instability analysis . Combust. Sci. Technol. , 177 , 1109 – 1150 .
   Web of Science ®Google Scholar
• Yu , K.H. , Trouve , A. , and Daily , J.W. 1991 . Low-frequency pressure oscillations in a model ramjet combustor . J. Fluid Mech. , 232 , 47 – 72 .
   Web of Science ®Google Scholar