Prediction of acoustic modes in combustors using linearized Navier-Stokes equations in frequency space:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2013
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| Schlagworte: | |
| Online-Zugang: | kostenfrei https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20140116-1166369-0-1 Inhaltsverzeichnis |
| Beschreibung: | XXI, 236 S. graph. Darst. |
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Datensatz im Suchindex
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| adam_text | TECHNISCHE UNIVERSITAT MIINCHEN
INSTITUT FUR ENERGIETECHNIK
LCHRSTUHL FIIR THERMODYNAMIK
PREDICTION OF ACOUSTIC MODES IN COMBUSTORS
USING LINEARIZED NAVIER-STOKES EQUATIONS IN
FREQUENCY SPACE
JANNIS GIKADI
VOLLSTANDIGER ABDRUCK DER VON DER FAKULTAT FIIR MASCHINENWESEN
DER TECHNISCHEN UNIVERSITAT MIINCHEN ZUR ERLANGUNG DES
AKADEMISCHEN GRADES EINES
DOKTOR
- INGENIEURS
GENEHMIGTEN DISSERTATION.
VORSITZENDER:
UNIV.-PROF. DR.-ING. HABIL. NIKOLAUS A. ADAMS
PRIIFER DER DISSERTATION:
1. UNIV.-PROF. DR.-ING. THOMAS SATTELMAYER
2. UNIV.-PROF. DR.-ING. JOHANNES JANICKA
TECHNISCHE UNIVERSITAT DARMSTADT
DIE DISSERTATION WURDE AM 09.07.2013 BEI DER TECHNISCHEN UNIVERSITAT
MIINCHEN
EINGEREICHT UND DURCH DIE FAKULTAT FIIR MASCHINENWESEN SUN 08.11.2013
ANGENOMMEN.
HTTP://D-NB.INFO/1053726708
CONTENTS
1 INTRODUCTION 1
1.1 COMBUSTION INSTABILITIES 2
1.2 PREDICTION OF COMBUSTION INSTABILITIES 4
1.3 PROPOSED METHODS 7
1.4 THESIS STRUCTURE 9
2 ACOUSTIC GOVERNING EQUATIONS 11
2.1 LINEARIZED NAVIER-STOKES EQUATIONS 12
2.2 LINEARIZED EQUATION OF STATE AND ENTROPY 15
2.3 MATERIAL PROPERTIES 16
2.4 WAVE- OR HELMHOLTZ EQUATION 17
2.5 LOW-ORDER NETWORK MODELING 18
2.6 HEAT RELEASE RATE 21
2.6.1 ANALYTICAL MODELING 23
2.6.2 EXPERIMENTAL MEASUREMENTS 25
2.6.3 NUMERICAL SIMULATIONS 26
2.7 ACOUSTIC BOUNDARY CONDITIONS 27
2.7.1 IMPEDANCE BOUNDARY CONDITIONS 28
2.7.2 ADDITIONAL BOUNDARY CONDITIONS FOR LNSES 35
2.8 ACOUSTIC ENERGY 38
2.9 VORTEX-ACOUSTIC INTERACTION 40
2.10 NON-LINEARITY AND NON-ORTHOGONALITY 41
3 THE FINITE ELEMENT METHOD 43
3.1 STANDARD GALERKIN APPROACH 46
3.2 ARTIFICIAL DIFFUSION SCHEMES 49
3.3 PETROV-GALERKIN APPROACH 51
3.3.1 STREAMLINE-UPWIND/PETROV-GALERKIN TECHNIQUE ... 51
3.3.2 GALERKIN/LEAST-SQUARES TECHNIQUE 53
IX
CONTENTS
3.3.3 STABILIZATION PARAMETER 55
3.3.4 PROBLEM FORMULATIONS 56
3.3.5 MATRIX INVERSION PROBLEM 56
3.3.6 EIGENVALUE PROBLEM 58
4 SOLUTION OF LARGE LINEAR SYSTEMS 60
4.1 EIGENVALUE SOLVERS 61
4.1.1 ARNOLDI ALGORITHM 61
4.1.2 SHIFT AND INVERT METHOD 63
4.2 DIRECT SOLVERS 64
4.2.1 LU FACTORIZATION 65
4.2.2 QR FACTORIZATION 65
4.3 ITERATIVE SOLVERS 66
4.3.1 JACOBI, GAUFI-SEIDEL AND SOR 67
4.3.2 GENERALIZED MINIMAL RESIDUALS (GMRES) 69
4.3.3 FLEXIBLE GENERALIZED MINIMAL RESIDUALS (FGMRES) . 70
4.3.4 MULTIRESOLUTION METHODS 71
4.4 PRECONDITIONERS 73
4.5 CONVERGENCE ANALYSIS 75
4.5.1 SINGLE FINITE ELEMENT ANALYSIS 76
4.5.2 SOLUTION PROCEDURES 78
4.5.3 PERFORMANCE COMPARISON 82
5 PREDICTION OF ACOUSTIC SCATTERING BEHAVIOR 85
5.1 AREA EXPANSION 86
5.1.1 SCATTERING MATRIX 90
5.1.2 ACOUSTIC IMPEDANCE 92
5.2 ORIFICE 94
5.2.1 SCATTERING MATRIX 96
5.2.2 WHISTLING CRITERION 98
5.3 T-JOINT 100
5.3.1 CONFIGURATION 102
5.3.2 LARGE EDDY SIMULATION OF FLOW FIELD 103
5.3.3 SCATTERING MATRIX 105
5.3.4 ACOUSTIC POWER CONSERVATION 110
5.4 NON-REACTIVE SWIRLER NOZZLE ILL
5.4.1 EXPERIMENTAL MEASUREMENTS 115
CONTENTS
5.4.2 SCATTERING MATRIX 117
5.4.3 ACOUSTIC LOSS MARGINS 119
5.5 CONCLUDING REMARKS 121
6 GLOBAL STABILITY ANALYSIS 123
6.1 GENERIC PREMIXED COMBUSTION CHAMBER 124
6.1.1 CONFIGURATION 125
6.1.2 SEMI-ANALYTICAL MODEL 126
6.1.3 STEADY HEAT RELEASE RATE (QV = 0) 128
6.1.4 UNSTEADY HEAT RELEASE RATE (QV ^ 0) 130
6.2 TWO-PHASE FLOW COMBUSTION INSTABILITIES 133
6.2.1 EXPERIMENTAL CONFIGURATION AND MEASUREMENTS . . . 135
6.2.2 MEAN FLOW COMPUTATIONS 142
6.2.3 NON-REACTIVE FLOW (QV = QV = 0) 143
6.2.4 UNSTEADY HEAT RELEASE RATE (QV ^ 0) 148
6.3 CONCLUDING REMARKS 151
7 CONCLUSION 154
APPENDIX 157
A INFLUENCE OF VISCOSITY ON ACOUSTIC WAVE PROPAGATION 159
B FORMS OF TRANSPORT EQUATIONS 161
B.L FORMS OF ENERGY CONSERVATION EQUATION 161
B.2 CYLINDRICAL COORDINATE SYSTEM 162
B.3 MATRIX NOTATION OF LNSES 164
C ACOUSTIC ENERGY 167
C.L ACOUSTIC ENERGY IN A QUIESCENT MEDIUM 167
C.2 ACOUSTIC ENERGY IN AN ISENTROPIC MEDIUM 168
C.3 STABILITY CONSIDERATIONS OF ACOUSTIC ENERGY 169
D ADDITIONAL LNSES VALIDATION TESTCASES 171
D.L RADIATION AND REFRACTION IN TWO DIMENSIONAL SHEAR LAYER . 171
D.L.L ANALYTICAL SOLUTION 173
D.1.2 UNSTABLE HVDRODYNAMIC SOLUTION 173
D.1.3 PURELY ACOUSTIC SOLUTION 174
XI
CONTENTS
D.2 ACOUSTIC REFLECTION OF AN OPEN PIPE TERMINATION 176
E HELMHOLTZ SOLVER 178
E.L GOVERNING EQUATION 178
E.2 BOUNDARY CONDITIONS 179
E.3 FINITE ELEMENT TREATMENT 180
E.4 VALIDATION CASES 182
E.4.1 ISOTHERMAL RECTANGULAR CAVITY 183
E.4.2 ONE DIMENSIONAL COMBUSTOR 185
E.4.3 TWO DIMENSIONAL COMBUSTOR 188
F ONE DIMENSIONAL IMPEDANCE LEE SOLVER 191
F. 1 CALCULATION OF MEAN FLOW DISTRIBUTION 192
F.2 FINITE DIFFERENCE LEES SOLVER 193
F.3 CYLINDRICAL DUCT IMPEDANCE 194
F.4 SUBSONIC DIFFUSOR ADMITTANCE 195
F.5 SUPERSONIC NOZZLE ADMITTANCE 196
LIST OF FIGURES 206
LIST OF TABLES 207
SUPERVISED THESES 209
REFERENCES 211
XII
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| spelling | Gikadi, Jannis Verfasser aut Prediction of acoustic modes in combustors using linearized Navier-Stokes equations in frequency space Jannis Gikadi 2013 XXI, 236 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2013 Mit einer Zssfassung in dt. Sprache Instabilität (DE-588)4139195-0 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Verbrennung (DE-588)4062656-8 gnd rswk-swf Thermoakustischer Effekt (DE-588)4450109-2 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Verbrennung (DE-588)4062656-8 s Instabilität (DE-588)4139195-0 s Thermoakustischer Effekt (DE-588)4450109-2 s Navier-Stokes-Gleichung (DE-588)4041456-5 s Numerisches Modell (DE-588)4338132-7 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20140116-1166369-0-1 http://mediatum.ub.tum.de/node?id=1166369 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20140116-1166369-0-1 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027224583&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gikadi, Jannis Prediction of acoustic modes in combustors using linearized Navier-Stokes equations in frequency space Instabilität (DE-588)4139195-0 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Verbrennung (DE-588)4062656-8 gnd Thermoakustischer Effekt (DE-588)4450109-2 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| subject_GND | (DE-588)4139195-0 (DE-588)4041456-5 (DE-588)4062656-8 (DE-588)4450109-2 (DE-588)4338132-7 (DE-588)4113937-9 |
| title | Prediction of acoustic modes in combustors using linearized Navier-Stokes equations in frequency space |
| title_auth | Prediction of acoustic modes in combustors using linearized Navier-Stokes equations in frequency space |
| title_exact_search | Prediction of acoustic modes in combustors using linearized Navier-Stokes equations in frequency space |
| title_full | Prediction of acoustic modes in combustors using linearized Navier-Stokes equations in frequency space Jannis Gikadi |
| title_fullStr | Prediction of acoustic modes in combustors using linearized Navier-Stokes equations in frequency space Jannis Gikadi |
| title_full_unstemmed | Prediction of acoustic modes in combustors using linearized Navier-Stokes equations in frequency space Jannis Gikadi |
| title_short | Prediction of acoustic modes in combustors using linearized Navier-Stokes equations in frequency space |
| title_sort | prediction of acoustic modes in combustors using linearized navier stokes equations in frequency space |
| topic | Instabilität (DE-588)4139195-0 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Verbrennung (DE-588)4062656-8 gnd Thermoakustischer Effekt (DE-588)4450109-2 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| topic_facet | Instabilität Navier-Stokes-Gleichung Verbrennung Thermoakustischer Effekt Numerisches Modell Hochschulschrift |
| url | http://mediatum.ub.tum.de/node?id=1166369 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20140116-1166369-0-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027224583&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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