Computational physics of electric discharges in gas flows:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
de Gruyter
2013
|
| Series: | De Gruyter studies in mathematical physics
7 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XI, 428 S. graph. Darst. 25 cm |
| ISBN: | 3110270331 9783110270334 |
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Record in the Search Index
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IMAGE 1
CONTENTS
PREFACE V
I ELEMENTS OF THE THEORY OF NUMERICAL MODELING OF GAS-DISCHARGE
PHENOMENA
1 MODELS O F GAS-DISCHARGE PHYSICAL MECHANICS 3
1.1 MODELS O F HOMOGENEOUS CHEMICALLY EQUILIBRIUM PLASMA 5
1.1.1 MATHEMATICAL MODEL O F RADIO-FREQUENCY (RF) PLASMA GENERATOR 14
1.1.2 MATHEMATICAL MODEL O F ELECTRIC-ARC (EA) PLASMA GENERATOR . . . 19
1.1.3 MODELS O F MICRO-WAVE (MW) PLASMA GENERATORS 22
1.1.4 MODELS O F LASER SUPPORTED PLASMA GENERATORS (LSPG) 25
1.1.5 NUMERICAL SIMULATION MODELS O F STEADY-STATE RADIATIVE GAS
DYNAMICS O F RF-, EA-, MW-, AND LSW-PLASMA GENERATORS . . . 33 1.1.6
METHOD O F NUMERICAL SIMULATION O F NON-STATIONARY RADIATIVE GAS-DYNAMIC
PROCESSES IN SUBSONIC PLASMA FLOWS. THE METHOD
O F UNSTEADY DYNAMIC VARIABLES 47
1.2 MODELS O F NONUNIFORM CHEMICALLY EQUILIBRIUM AND NONEQUILIBRIUM
PLASMA 4 9
1.2.1 MODEL O F THE FIVE-COMPONENT RF PLASMA GENERATOR 54
1.2.2 MODEL O F THE THREE-COMPONENT RF PLASMA GENERATOR 57
1.2.3 TWO-TEMPERATURE MODEL O F RF PLASMA UNDER IONIZATION EQUILIBRIUM
59
1.2.4 ONE-LIQUID TWO-TEMPERATURE MODEL O F LASER SUPPORTED PLASMA . 61
2 APPLICATION O F NUMERICAL SIMULATION MODELS FOR THE INVESTIGATION OF
LASER SUPPORTED WAVES 6 4
2.1 AIR LASER SUPPORTED PLASMA GENERATOR 64
2.2 HYDROGEN LASER SUPPORTED PLASMA GENERATOR 74
2.3 BIFURCATION O F SUBSONIC GAS FLOWS IN THE VICINITY O F LOCALIZED
HEAT RELEASE REGIONS 81
2.3.1 STATEMENT O F THE PROBLEM 83
2.3.2 QUALITATIVE ANALYSIS O F THE PHENOMENON 84
2.3.3 QUANTITATIVE RESULTS O F NUMERICAL SIMULATION 85
2.4 LASER SUPPORTED WAVES IN THE FIELD O F GRAVITY 91
HTTP://D-NB.INFO/1021549142
IMAGE 2
VIII
CONTENTS
3 COMPUTATIONAL MODELS O F MAGNETOHYDRODYNAMIC PROCESSES 104
3.1 GENERAL RELATIONS 105
3.2 VECTOR FORM O F NAVIER-STOKES EQUATIONS 106
3.3 SYSTEM O F EQUATIONS O F MAGNETIC INDUCTION 107
3.4 FORCE ACTING ON IONIZED GAS FROM ELECTRIC AND MAGNETIC FIELDS I L L
3.5 A HEAT EMISSION CAUSED BY ACTION O F ELECTROMAGNETIC FORCES 112
3.6 COMPLETE SET O F THE MHD EQUATIONS IN A FLUX FORM 114
3.6.1 THE MHD EQUATIONS IN PROJECTIONS 115
3.6.2 COMPLETELY CONSERVATIVE FORM O F THE MHD EQUATIONS 117
3.7 THE FLUX FORM O F MHD EQUATIONS IN A DIMENSIONLESS FORM 120
3.7.1 DEFINITION O F THE NORMALIZING PARAMETERS 120
3.7.2 NONDIMENSION SYSTEM O F THE MHD EQUATIONS IN FLUX FORM . . . 122
3.8 THE MHD EQUATIONS IN THE FLUX FORM. THE USE O F PRESSURE INSTEAD OF
SPECIFIC INTERNAL ENERGY 126
3.9 EIGENVECTORS AND EIGENVALUES O F JACOBIAN MATRIXES FOR
TRANSFORMATION O F THE MHD EQUATIONS FROM CONSERVATIVE TO THE
QUASILINEAR FORM. STATEMENT O F NONSTATIONARY BOUNDARY CONDITIONS 129
3.9.1 JACOBIAN MATRIXES O F PASSAGE FROM CONSERVATIVE TO THE QUASILINEAR
FORM O F THE EQUATIONS 129
3.10 A SINGULARITY O F JACOBIAN MATRIXES FOR TRANSFORMATION O F THE
EQUATIONS FORMULATED IN THE CONSERVATIVE FORM 133
3.11 SYSTEM O F THE MHD EQUATIONS WITHOUT SINGULAR TRANSFER MATRIXES . .
. . 140
3.12 EIGENVALUES AND EIGENVECTORS O F NONSINGULAR MATRIXES O F
QUASILINEAR SYSTEM O F THE MHD EQUATIONS 144
3.12.1 MATRIX A X 144
3.12.2 MATRIX A Y 148
3.12.3 MATRIX A Z 151
3.13 A METHOD O F SPLITTING FOR THREE-DIMENSIONAL (3D) MHD EQUATIONS . .
. 153
3.14 APPLICATION O F A SPLITTING METHOD FOR NONSTATIONARY 3D MHD FLOW
FIELD, GENERATED BY PLASMA PLUME IN THE IONOSPHERE 161
II NUMERICAL SIMULATION MODELS OF GLOW DISCHARGE
4 THE PHYSICAL MECHANICS O F DIRECT CURRENT GLOW DISCHARGE 171
4.1 FUNDAMENTALS O F THE PHYSICS O F DIRECT CURRENT GLOW DISCHARGE. THE
ENGEL-STEENBECK THEORY O F A CATHODE LAYER 172
IMAGE 3
CONTENTS IX
4.2 DRIFT-DIFFUSION MODEL O F GLOW DISCHARGE 178
4.2.1 GOVERNING EQUATIONS 178
4.2.2 REDUCTION O F GOVERNING EQUATIONS TO A FORM CONVENIENT FOR
NUMERICAL SOLUTION 181
4.2.3 INITIAL CONDITIONS O F THE BOUNDARY VALUE PROBLEM FOR THE GLOW
DISCHARGE 184
4.2.4 GLOW DISCHARGE WITH HEAT O F GAS 186
4.2.5 ESTIMATION O F TYPICAL TIME SCALES O F THE SOLVED PROBLEM 187
4.3 FINITE-DIFFERENCE METHODS FOR THE DRIFT-DIFFUSION MODEL 194
4.3.1 FINITE-DIFFERENCE SCHEME FOR THE POISSON EQUATION 194
4.3.2 FINITE-DIFFERENCE SCHEME FOR THE EQUATION O F CHARGE MOTION . .
197 4.3.3 CONSERVATIVE PROPERTIES O F THE FINITE-DIFFERENCE SCHEME FOR
THE MOTION EQUATION 200
4.3.4 THE ORDER O F ACCURACY O F THE FINITE-DIFFERENCE APPROXIMATION
USED. THE MESH DIFFUSION 203
4.3.5 THE FINITE-DIFFERENCE GRIDS 207
4.3.6 ITERATIVE METHODS FOR SOLVING SYSTEMS O F LINEAR ALGEBRAIC
EQUATIONS IN CANONICAL FORM 210
4.3.7 AN ITERATIVE ALGORITHM FOR THE SOLUTION O F A SELF-CONSISTENT
PROBLEM 221
4.3.8 CHARACTERISTIC PROPERTIES O F A SOLUTION O F A TWO-DIMENSIONAL
PROBLEM ABOUT GLOW DISCHARGE IN A NONSTATIONARY STATEMENT . . 222
4.4 NUMERICAL SIMULATION O F THE ONE-DIMENSIONAL GLOW DISCHARGE 225
4.4.1 GOVERNING EQUATIONS AND BOUNDARY CONDITIONS 226
4.4.2 THE ELEMENTARY IMPLICIT FINITE-DIFFERENCE SCHEME 228
4.5 DIFFUSION O F CHARGES ALONG A CURRENT LINE AND EFFECTIVE METHOD O F
GRID DIFFUSION ELIMINATION IN CALCULATIONS O F GLOW DISCHARGES 229
4.5.1 GOVERNING EQUATIONS FOR THE ONE-DIMENSIONAL CASE 230
4.5.2 BOUNDARY CONDITIONS 230
4.5.3 NUMERICAL METHODS FOR THE ONE-DIMENSIONAL CALCULATION CASE . 2 3 1
4.5.4 RESULTS O F I D NUMERICAL SIMULATION 232
4.5.5 METHOD O F FOURTH ORDER ACCURACY FOR THE SOLUTION O F THE
DRIFT-DIFFUSION MODEL EQUATIONS 235
4.6 TWO-DIMENSIONAL STRUCTURE O F GLOW DISCHARGE REGARDING NEUTRAL GAS
HEATING 241
4.6.1 STATEMENT O F TWO-DIMENSIONAL AXIALLY SYMMETRIC PROBLEM . . . .
242 4.6.2 NUMERICAL SIMULATION RESULTS 244
5 DRIFT-DIFFUSION MODEL O F GLOW DISCHARGE IN AN EXTERNAL MAGNETIC FIELD
261
5.1 DERIVATION O F THE EQUATIONS FOR CALCULATION MODEL 261
5.2 NUMERICAL SIMULATION RESULTS 266
IMAGE 4
X
CONTENTS
5.3 GLOW DISCHARGE IN A CROSS MAGNETIC FIELD IN VIEW O F HEATING O F
NEUTRAL GAS 279
5.3.1 PROBLEM FORMULATION 280
5.3.2 CONSTITUTIVE THERMOPHYSIC AND ELECTROPHYSIC PARAMETERS 281 5.3.3
THE METHOD O F NUMERICAL INTEGRATION 282
5.3.4 THE FINITE-DIFFERENCE SCHEME 283
5.3.5 THE METHOD O F NUMERICAL INTEGRATION O F THE HEAT CONDUCTIVE
EQUATION 285
5.3.6 NUMERICAL SIMULATION RESULTS FOR GLOW DISCHARGE IN A MAGNETIC
FIELD IN VIEW O F HEATING O F GAS 288
5.4 GLOW DISCHARGE IN THE CROSS FLOW O F NEUTRAL GAS AND IN THE MAGNETIC
FIELD 296
5.4.1 COMPUTATIONAL MODEL O F GLOW DISCHARGE WITH CROSS GAS FLOW . . 296
5.4.2 SIMPLIFIED HYDRODYNAMIC PART O F THE PROBLEM UNDER CONSIDERATION.
THE COUETTE FLOW 305
5.4.3 GLOW DISCHARGE IN NEUTRAL GAS FLOW. NUMERICAL SIMULATION RESULTS
305
5.5 COMPUTING MODEL O F GLOW DISCHARGE IN ELECTRONEGATIVE GAS 314
5.5.1 COMPUTATIONAL MODEL 315
5.5.2 NUMERICAL SIMULATION RESULTS 323
5.6 NUMERICAL MODELING O F GLOW DISCHARGE BETWEEN ELECTRODES ARRANGED ON
THE SAME SURFACE 331
5.6.1 THE EQUATIONS O F THE DRIFT-DIFFUSION MODEL FOR SURFACE GLOW
DISCHARGE 331
5.6.2 BOUNDARY CONDITIONS FOR SURFACE DISCHARGE 334
5.6.3 INITIAL CONDITIONS O F NUMERICAL MODELING 335
5.6.4 NUMERICAL SIMULATION RESULTS O F SURFACE GLOW DISCHARGE 335
III AMBIPOLAR MODELS OF DIRECT CURRENT DISCHARGES
6 QUASI-NEUTRAL MODEL O F GAS DISCHARGE IN AN EXTERNAL MAGNETIC FIELD
AND IN GAS FLOW 345
6.1 THE SPATIAL SCALE O F ELECTRIC FIELD SHIELDING IN PLASMA. THE DEBYE
RADIUS 345
6.2 THE AMBIPOLAR DIFFUSION 347
6.3 AMBIPOLAR DIFFUSION IN AN EXTERNAL MAGNETIC FIELD 350
6.4 TWO-DIMENSIONAL MODEL O F AMBIPOLAR DIFFUSION IN AN EXTERNAL
MAGNETIC FIELD 352
6.5 ILLUSTRATIVE RESULTS O F NUMERICAL SIMULATION 354
IMAGE 5
CONTENTS XI
7 VISCOUS INTERACTION ON A FLAT PLATE WITH SURFACE DISCHARGE IN A
MAGNETIC FIELD 360
7.1 STATEMENT O F A PROBLEM ABOUT VISCOUS INTERACTION 362
7.2 BOUNDARY CONDITIONS O F THE PROBLEM 365
7.3 TRANSFER AND ELECTRO-PHYSICAL PROPERTIES O F GAS 366
7.4 THE NUMERICAL METHOD O F SOLUTION 367
7.5 NUMERICAL SIMULATION RESULTS 367
7.5.1 THE HEAT-INSULATED PLATE 369
7.5.2 HEATING ELECTRODES 370
7.5.3 THE SURFACE DISCHARGE 370
8 HYPERSONIC FLOW O F RAREFIED GAS IN A CHANNEL WITH GLOW DISCHARGE IN
AN EXTERNAL MAGNETIC FIELD 378
8.1 MODEL O F GAS DYNAMICS 379
8.2 MODEL O F ELECTRODYNAMICS O F GLOW DISCHARGE IN A MAGNETIC FIELD . .
. . 380
8.3 BOUNDARY CONDITIONS O F THE PROBLEM 381
8.4 CLOSING RELATIONS 382
8.5 ALGORITHM O F SOLUTION O F COMPLETE SET O F EQUATIONS 384
8.6 NUMERICAL SIMULATION RESULTS 384
9 HYPERSONIC FLOW O F RAREFIED GAS IN A CURVILINEAR CHANNEL WITH GLOW
DISCHARGE 398
9.1 GOVERNING EQUATIONS 399
9.2 BOUNDARY CONDITIONS AND CLOSING RELATIONS 400
9.3 NUMERICAL SIMULATION RESULTS 401
A APPENDIX 411
A.L FUNDAMENTAL CONSTANTS 411
A.2 RATIOS BETWEEN UNITS O F ELECTRICITY AND MAGNETISM 412
BIBLIOGRAPHY 415
INDEX 423 |
| any_adam_object | 1 |
| author | Suržikov, Sergej T. |
| author_GND | (DE-588)1043787550 |
| author_facet | Suržikov, Sergej T. |
| author_role | aut |
| author_sort | Suržikov, Sergej T. |
| author_variant | s t s st sts |
| building | Verbundindex |
| bvnumber | BV040671183 |
| classification_rvk | SK 955 UG 1300 |
| ctrlnum | (OCoLC)823935801 (DE-599)DNB1021549142 |
| dewey-full | 530.444 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.444 |
| dewey-search | 530.444 |
| dewey-sort | 3530.444 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| indexdate | 2024-08-21T00:27:36Z |
| institution | BVB |
| isbn | 3110270331 9783110270334 |
| language | English |
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| owner_facet | DE-11 DE-19 DE-BY-UBM DE-703 |
| physical | XI, 428 S. graph. Darst. 25 cm |
| publishDate | 2013 |
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| publisher | de Gruyter |
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| series | De Gruyter studies in mathematical physics |
| series2 | De Gruyter studies in mathematical physics |
| spelling | Suržikov, Sergej T. Verfasser (DE-588)1043787550 aut Computational physics of electric discharges in gas flows Sergey T. Surzhikov Berlin [u.a.] de Gruyter 2013 XI, 428 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematical physics 7 Literaturangaben Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Gasdynamik (DE-588)4019339-1 gnd rswk-swf Gasentladung (DE-588)4139645-5 gnd rswk-swf Gasentladung (DE-588)4139645-5 s Gasdynamik (DE-588)4019339-1 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Erscheint auch als Online-Ausgabe 978-3-11-027041-9 De Gruyter studies in mathematical physics 7 (DE-604)BV040141722 7 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4010270&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025497746&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Suržikov, Sergej T. Computational physics of electric discharges in gas flows De Gruyter studies in mathematical physics Numerisches Verfahren (DE-588)4128130-5 gnd Gasdynamik (DE-588)4019339-1 gnd Gasentladung (DE-588)4139645-5 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4019339-1 (DE-588)4139645-5 |
| title | Computational physics of electric discharges in gas flows |
| title_auth | Computational physics of electric discharges in gas flows |
| title_exact_search | Computational physics of electric discharges in gas flows |
| title_full | Computational physics of electric discharges in gas flows Sergey T. Surzhikov |
| title_fullStr | Computational physics of electric discharges in gas flows Sergey T. Surzhikov |
| title_full_unstemmed | Computational physics of electric discharges in gas flows Sergey T. Surzhikov |
| title_short | Computational physics of electric discharges in gas flows |
| title_sort | computational physics of electric discharges in gas flows |
| topic | Numerisches Verfahren (DE-588)4128130-5 gnd Gasdynamik (DE-588)4019339-1 gnd Gasentladung (DE-588)4139645-5 gnd |
| topic_facet | Numerisches Verfahren Gasdynamik Gasentladung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4010270&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025497746&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV040141722 |
| work_keys_str_mv | AT surzikovsergejt computationalphysicsofelectricdischargesingasflows |