Dynamical systems and complex systems theory to study unsteady combustion

Proceedings of the Combustion Institute - Tập 38 Số 3 - Trang 3445-3462 - 2021
R. I. Sujith1, Vishnu R. Unni2
1Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai, Tamil Nadu 600036, India
2Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093, United States

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Williams, 2018

Lieuwen, 2005

Suresha, 2016, Nonlinear dynamics and intermittency in a turbulent reacting wake with density ratio as bifurcation parameter, Phys. Rev., E 94

Brouillette, 2002, The Richtmyer-Meshkov instability, Annu. Rev. Fluid Mech., 34, 445, 10.1146/annurev.fluid.34.090101.162238

Clanet, 1998, First experimental study of the Darrieus-Landau instability, Phys. Rev. Lett., 80, 3867, 10.1103/PhysRevLett.80.3867

Law, 2010

D.J. Wood, R.G. Dorsch, Effect of Propellant Feed System Coupling and Hydraulic Parameters on Analysis of Chugging, Technical Report NASA-TN-D-3896, E-3589, NASA Lewis Research Center; Cleveland, OH, United States, 1967.

Strogatz, 2018

Takens, 1981, Detecting strange attractors in turbulence, 366

Abarbanel, 2012

Eckmann, 1995, Recurrence plots of dynamical systems, WSS Nonlin. Sc. Ser., A 16, 441

Webber, 2015

Marwan, 2007, Recurrence plots for the analysis of complex systems, Phys. Rep., 438, 237, 10.1016/j.physrep.2006.11.001

Kabiraj, 2012, Route to chaos for combustion instability in ducted laminar premixed ames, Chaos, 22, 10.1063/1.4718725

Smith, 2003, Complex systems in language evolution: the cultural emergence of compositional structure, Adv. Complex Syst., 6, 537, 10.1142/S0219525903001055

Ihlen, 2012, Introduction to multifractal detrended uctuation analysis in Matlab, Front. Physiol., 3, 141, 10.3389/fphys.2012.00141

Pikovsky, 2003

Pawar, 2017, Thermoacoustic instability as mutual synchronization between the acoustic _eld of the con_nement and turbulent reactive ow, J. Fluid Mech., 827, 664, 10.1017/jfm.2017.438

Godavarthi, 2018, Coupled interaction between unsteady ame dynamics and acoustic _eld in a turbulent combustor, Chaos, 28, 10.1063/1.5052210

Barabási, 2011, The network takeover, Nat. Phys., 8, 14, 10.1038/nphys2188

Lacasa, 2008, From time series to complex networks: The visibility graph, P. Natl. Acad. Sci., 105, 4972, 10.1073/pnas.0709247105

Bastian, 2009, Gephi: an open source software for exploring and manipulating networks

Godavarthi, 2017, Recurrence networks to study dynamical transitions in a turbulent combustor, Chaos, 27, 10.1063/1.4985275

Lynn, 2019, The physics of brain network structure, function and control, Nat. Rev. Phys., 1, 318, 10.1038/s42254-019-0040-8

Unni, 2018, On the emergence of critical regions at the onset of thermoacoustic instability in a turbulent combustor, Chaos, 28, 10.1063/1.5028159

Singh, 2017, Network structure of turbulent premixed ames, Chaos, 27, 10.1063/1.4980135

Lieuwen, 2002, Experimental investigation of limit-cycle oscillations in an unstable gas turbine combustor, J. Propul. Power, 18, 61, 10.2514/2.5898

Jahnke, 1994, Application of dynamical systems theory to nonlinear combustion instabilities, J. Propul. Power, 10, 508, 10.2514/3.23801

Waugh, 2014, Matrix-free continuation of limit cycles and their bifurcations for a ducted premixed ame, Journal of uid mechanics, 759, 1

Subramanian, 2010, Bifurcation analysis of thermoacoustic instability in a horizontal Rijke tube, Int. J. Spray Combust., 2, 325, 10.1260/1756-8277.2.4.325

Sterling, 1993, Nonlinear analysis and modelling of combustion instabilities in a laboratory combustor, Combust. Sci. Technol., 89, 167, 10.1080/00102209308924107

Keanini, 1989, Evidence of a strange attractor in ramjet combustion

Lei, 2010, Nonlinear/chaotic modeling and control of combustion instabilities, Int. J. Bifurcat. Chaos, 20, 1245, 10.1142/S0218127410026447

Fichera, 2001, Experimental analysis of thermoacoustic combustion instability, Appl. Energ., 70, 179, 10.1016/S0306-2619(01)00020-4

Kabiraj, 2012, Bifurcations of self-excited ducted laminar premixed ames, J. Eng. Gas Turb. Power, 134, 10.1115/1.4004402

Kashinath, 2014, Nonlinear self-excited thermoacoustic oscillations of a ducted premixed ame: bifurcations and routes to chaos, J. Fluid Mech, 761, 399, 10.1017/jfm.2014.601

Premraj, 2019, Strange nonchaos in self-excited singing ames, EPL (Europhysics Letters), 128, 54005, 10.1209/0295-5075/128/54005

Weng, 2020, Nonlinear Dyn., 100, 3295, 10.1007/s11071-020-05706-3

Sujith, 2016, Non-normality and nonlinearity in thermoacoustic instabilities, Int. J. Spray Combust., 8, 119, 10.1177/1756827716651571

Kabiraj, 2012, Nonlinear self-excited thermoacoustic oscillations: intermittency and ame blowout, J. Fluid Mech, 713, 376, 10.1017/jfm.2012.463

Mondal, 2017, Synchronous behaviour of two interacting oscillatory systems undergoing quasiperiodic route to chaos, Chaos, 27, 10.1063/1.4991744

Mondal, 2019, Forced synchronization and asynchronous quenching of periodic oscillations in a thermoacoustic system, J. Fluid Mech, 864, 73, 10.1017/jfm.2018.1011

Guan, 2019, Open-loop control of periodic thermoacoustic oscillations: Experiments and low-order modelling in a synchronization framework, P. Combust. Inst., 37, 5315, 10.1016/j.proci.2018.07.077

Kashinath, 2018, Forced synchronization of periodic and aperiodic thermoacoustic oscillations: lock-in, bifurcations and open-loop control, J. Fluid Mech, 838, 690, 10.1017/jfm.2017.879

Balusamy, 2015, Nonlinear dynamics of a self-excited thermoacoustic system subjected to acoustic forcing, P. Combust. Inst., 35, 3229, 10.1016/j.proci.2014.05.029

Roy, 2019, On the mechanism of open-loop control of thermoacoustic instability in a laminar premixed combustor, J. Fluid Mech., 884

Balanov, 2008

Guan, 2019, Forced synchronization of quasiperiodic oscillations in a thermoacoustic system, J. Fluid Mech, 879, 390, 10.1017/jfm.2019.680

Guan, 2018, Strange nonchaotic and chaotic attractors in a self-excited thermoacoustic oscillator subjected to external periodic forcing, Chaos, 28, 10.1063/1.5026252

Guan, 2019, Control of selfexcited thermoacoustic oscillations using transient forcing, hysteresis and mode switching, Combust. Flame, 202, 262, 10.1016/j.combustflame.2019.01.013

Dange, 2019, Oscillation quenching and phase-ip bifurcation in coupled thermoacoustic systems, Chaos: An Interdisciplinary Journal of Nonlinear Science, 29, 10.1063/1.5114695

Clavin, 1994, Turbulence-induced noise e_ects on high-frequency combustion instabilities, Combust. Sci. Technol., 96, 61, 10.1080/00102209408935347

Lieuwen, 2005, Background noise e_ects on combustor stability, J. Propul. Power, 21, 25, 10.2514/1.5549

Noiray, 2013, Deterministic quantities characterizing noise driven Hopf bifurcations in gas turbine combustors, Int. J. Nonlin. Mech., 50, 152, 10.1016/j.ijnonlinmec.2012.11.008

Noiray, 2008, A uni_ed framework for nonlinear combustion instability analysis based on the ame describing function, J. Fluid Mech, 615, 139, 10.1017/S0022112008003613

Nair, 2013, Loss of chaos in combustion noise as a precursor of impending combustion instability, Int. J. Spray Combust., 5, 273, 10.1260/1756-8277.5.4.273

Tony, 2015, Detecting deterministic nature of pressure measurements from a turbulent combustor, Phys. Rev., E 92

Kaplan, 1992, Direct test for determinism in a time series, Phys. Rev. Lett., 68, 427, 10.1103/PhysRevLett.68.427

Nair, 2014, Multifractality in combustion noise: predicting an impending combustion instability, J. Fluid Mech, 747, 635, 10.1017/jfm.2014.171

V. Nair, G. Thampi, S. Karuppusamy, S. Gopalan, R.I. Sujith, System and method for predetermining the onset of impending oscillatory instabilities in practical devices, 2017. US patent US 9804054 B2, Priority Date: Oct. 1, 2012.

Nair, 2014, Intermittency route to thermoacoustic instability in turbulent combustors, J. Fluid Mech, 756, 470, 10.1017/jfm.2014.468

Pawar, 2016, Intermittency route to combustion instability in a laboratory spray combustor, J. Eng. Gas Turb. Power, 138, 10.1115/1.4031405

Kasthuri, 2019, Dynamical systems approach to study thermoacoustic transitions in a liquid rocket combustor, Chaos, 29, 10.1063/1.5120429

Sen, 2018, Dynamic characterization of a ducted inverse di_usion ame using recurrence analysis, Combust. Sci. Technol., 190, 32, 10.1080/00102202.2017.1374952

Pavithran, 2020, Universality in the emergence of oscillatory instabilities in turbulent ows, EPL (Europhysics Letters), 129, 24004, 10.1209/0295-5075/129/24004

Nair, 2014, Engineering precursors to forewarn the onset of an impending combustion instability, GT2014

Nair, 2015, Intermittency as a transition state in combustor dynamics: An explanation for ame dynamics near lean blowout, Combust. Sci. Technol., 187, 1821, 10.1080/00102202.2015.1066339

Gotoda, 2014, Detection and control of combustion instability based on the concept of dynamical system theory, Phys. Rev., E 89

Murugesan, 2015, Combustion noise is scale-free: transition from scale-free to order at the onset of thermoacoustic instability, J. Fluid Mech, 772, 225, 10.1017/jfm.2015.215

V.R. Unni, N. Vineeth, R.I. Sujith, A. Mukhopadhyay, System and method for controlling oscillatory instabilities in a device, 2016. US patent US10095247 B2, Priority Date: 04, Dec. 2013.

Unni, 2015, Online detection of impending instability in a combustion system using tools from symbolic time series analysis, Int. J. Spray Combust., 7, 243, 10.1260/1756-8277.7.3.243

M. Murugesan, V.R. Unni, V. Nair, R.I. Sujith, Devices and methods for early prediction of impending instabilities of a system, 2017. US Patent US10337414 B2, Priority Date: 29, April 2014.

Guan, 2019, Chaos, synchronization, and desynchronization in a liquid-fueled di_usion-ame combustor with an intrinsic hydrodynamic mode, Chaos, 29, 10.1063/1.5088735

Mondal, 2017, Onset of thermoacoustic instability in turbulent combustors: an emergence of synchronized periodicity through formation of chimera-like states, J. Fluid Mech, 811, 659, 10.1017/jfm.2016.770

Abrams, 2004, Chimera states for coupled oscillators, Phys. Rev. Lett., 93, 10.1103/PhysRevLett.93.174102

George, 2018, Pattern formation during transition from combustion noise to thermoacoustic instability via intermittency, J. Fluid Mech, 849, 615, 10.1017/jfm.2018.427

Krishnan, 2019, On the emergence of large clusters of acoustic power sources at the onset of thermoacoustic instability in a turbulent combustor, J. Fluid Mech, 874, 455, 10.1017/jfm.2019.429

Raghunathan, 2020, Multifractal analysis of ame dynamics during transition to thermoacoustic instability in a turbulent combustor, Journal of Fluid Mechanics, 888, A14, 10.1017/jfm.2020.19

Krishnan, 2019, Mitigation of oscillatory instability in turbulent reactive ows: A novel approach using complex networks, Europhys. Lett., 128, 14003, 10.1209/0295-5075/128/14003

Chaudhuri, 2010, Blowo_ dy- namics of blu_ body stabilized turbulent premixed ames, Combust. Flame, 157, 10.1016/j.combustflame.2009.10.020

Plee, 1979, Characteristic time correlation for lean blowo_ of blu_-body-stabilized ames, Combust. Flame, 35, 61, 10.1016/0010-2180(79)90007-5

Radhakrishnan, 1981, Premixed turbulent ame blowo_ velocity correlation based on coherent structures in turbulent ows, Combust. Flame, 42, 19, 10.1016/0010-2180(81)90139-5

Lieuwen, 2006, 197

Nair, 2005, Acoustic detection of blowout in premixed ames, J. Propul. Power, 21, 32, 10.2514/1.5658

Gotoda, 2012, Characterization of complexities in combustion instability in a lean premixed gas-turbine model combustor, Chaos, 22, 10.1063/1.4766589

Muruganandam, 2005, Active control of lean blowout for turbine engine combustors, J. Propul. Power, 21, 807, 10.2514/1.7254

Gotoda, 2011, Dynamic properties of combustion instability in a lean premixed gas-turbine combustor, Chaos, 21, 10.1063/1.3563577

Domen, 2015, Detection and prevention of blowout in a lean premixed gas-turbine model combustor using the concept of dynamical system theory, P. Combust. Inst., 35, 3245, 10.1016/j.proci.2014.07.014

Mukhopadhyay, 2013, Lean blow-out prediction in gas turbine combustors using symbolic time series analysis, J. Propul. Power, 29, 950, 10.2514/1.B34711

Sarkar, 2014, Early detection of lean blow out (LBO) via generalized d-Markov machine construction, 3041

Unni, 2015, Multifractal characteristics of combustor dynamics close to lean blowout, J. Fluid Mech, 784, 30, 10.1017/jfm.2015.567

Unni, 2016, Precursors to blowout in a turbulent combustor based on recurrence quanti_cation, 2016

Unni, 2018, Flame blowout: Transition to an absorbing phase, Chaos, 28, 10.1063/1.5045808

Daw, 1998, Observing and modeling nonlinear dynamics in an internal combustion engine, Phys. Rev., E 57, 2811

Sen, 2010, Analysis of heat release dynamics in an internal combustion engine using multifractals and wavelets, Appl. Energ, 87, 1736, 10.1016/j.apenergy.2009.11.009

Finney, 2015, Invited review: a review of deterministic e_ects in cyclic variability of internal combustion engines, Int. J. Engine Res., 16, 366, 10.1177/1468087415572033

Gao, 2017, A statistical combustion phase control approach of si engines, Mech. Syst. Signal Pr., 85, 218, 10.1016/j.ymssp.2016.08.007

Zhang, 2017, Probabilistic guaranteed gradient learningbased spark advance self-optimizing control for spark-ignited engines, IEEE T. Neur. Net. Lear., 29, 4683, 10.1109/TNNLS.2017.2767293

Di, 2018, Simulation of knock probability in an internal combustion engine, Phys. Rev., E 98

Xu, 2019, Combustion variation control strategy with thermal e_ciency optimization for lean combustion in sparkignition engines, Appl. Energ., 251, 10.1016/j.apenergy.2019.113329

Sivashinsky, 1983, Instabilities, pattern formation, and turbulence in ames, Annu. Rev. Fluid Mech., 15, 179, 10.1146/annurev.fl.15.010183.001143

Wang, 2019, Network topology of turbulent premixed bunsen ame at elevated pressure and turbulence intensity, Aerosp. Sci. Technol., 94, 10.1016/j.ast.2019.105361

Iacobello, 2018, Spatial characterization of turbulent channel ow via complex networks, Phys. Rev., E 98

Said, 1988, A turbulent wrinkled ame simulation by means of cellular automata, 469

Lópex-Martín, 1997, Selfturbulent ame simulation by a cellular automaton, 59

Karafyllidis, 1997, A model for predicting forest _re spreading using cellular automata, Ecol. Model., 99, 87, 10.1016/S0304-3800(96)01942-4

Muzy, 2006, Dynamic structure cellular automata in a _re spreading application, 247

Li, 2001, Modeling _re spread under environmental inuence using a cellular automaton approach, Complexity International, 8, 1

Russo, 2016, A complex network theory approach for the spatial distribution of _re breaks in heterogeneous forest landscapes for the control of wildland _res, PloS one, 11, 10.1371/journal.pone.0163226

Zhao, 2015, On the application of betweenness centrality in chemical network analysis: Computational diagnostics and model reduction, Combust. Flame, 162, 2991, 10.1016/j.combustflame.2015.05.011

Gonzalez, 2018