An introduction to gravity currents and intrusions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton, Fla. [u.a.]
CRC Press
2009
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 489 S. Ill., graph. Darst. |
| ISBN: | 9781584889038 |
Internformat
MARC
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| 008 | 090519s2009 xxuad|| |||| 00||| eng d | ||
| 010 | |a 2009009355 | ||
| 020 | |a 9781584889038 |c hardback : alk. paper |9 978-1-58488-903-8 | ||
| 035 | |a (OCoLC)148705307 | ||
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| 100 | 1 | |a Ungarish, Marius |d 1951- |e Verfasser |0 (DE-588)139165185 |4 aut | |
| 245 | 1 | 0 | |a An introduction to gravity currents and intrusions |c Marius Ungarish |
| 264 | 1 | |a Boca Raton, Fla. [u.a.] |b CRC Press |c 2009 | |
| 300 | |a XV, 489 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Gravity | |
| 650 | 4 | |a Gravitational fields | |
| 650 | 4 | |a Density currents | |
| 650 | 4 | |a Fluid dynamics |x Mathematical models | |
| 650 | 0 | 7 | |a Gravitationsströmung |0 (DE-588)4274467-2 |2 gnd |9 rswk-swf |
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| 689 | 0 | |5 DE-604 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-017552864 | ||
Datensatz im Suchindex
| _version_ | 1804139113376382976 |
|---|---|
| adam_text | Contents
Preface
хні
1
Introduction
1
1.1
Classification
...........................
З
1.2
The Navier-Stokes equations
.................. 8
1 Non-stratified ambient currents
2
Shallow-water (SW) formulation for high-Re flows
13
2.1
Motion of the interface and the continuity equation
..... 14
2.2
One-layer model
......................... 16
2.2.1
Boussinesq simplification
................ 21
2.2.2
Scaling
.......................... 22
2.2.3
Summary
1........................ 23
2.3
A useful transformation
..................... 24
2.3.1
Summary
2........................ 25
2.4
The full behavior by numerical solution
............ 26
2.5
Dam-break stage
......................... 28
2.6
Similarity solution
........................ 39
2.6.1
Extensions
........................ 44
2.7
The validity of the inviscid approximation
.......... 44
3
The steady-state current and nose jump conditions
49
3.1
Benjamin s analysis
....................... 49
3.1.1
Volume continuity and flow-force balance
....... 50
3.1.2
Energy considerations
.................. 51
3.1.3
Summary
......................... 53
3.2
Jump condition
......................... 54
4
Box models for 2D geometry
57
4.1
Fixed volume current with inertial-buoyancy balance
.... 57
4.2
Inflow volume change V
=
qta
................. 59
4.2.1
Inertial-buoyancy balance
................ 61
4.2.2
Viscous-buoyancy balance
................ 62
4.2.3
Criticala
......................... 63
4.2.4
Comparisons and experimental verifications
...... 64
5
Two-layer SW model
67
5.1
Introduction
........................... 67
5.2
The governing equations
.................... 69
5.3
Boussinesq system in dimensionless form
........... 72
5.3.1
Critical nose region for
H
< 1.25........... 74
5.4
Jumps of interface for
H
< 2 .................. 76
5.4.1
Backward-moving discontinuity
............. 76
5.4.2
The reflected bore
.................... 81
5.4.3
Dam break and the speed of propagation during slump¬
ing
............................. 85
5.4.4
The slumping distance: theory and experiments
.... 91
5.5
Energy and work in a two-layer model
............. 93
5.5.1
Some SW energy calculations
.............. 96
5.5.2
Analytical global energy balances
............ 101
5.5.3
Dissipation (formal and real)
.............. 102
5.5.4
Energy in the similarity stage
.............. 107
6
Axisymmetric currents, SW formulation
109
6.1
Governing equations
....................... 109
6.1.1
Summary
1........................ 113
6.2
A useful transformation
..................... 114
6.2.1
Summary
2........................ 115
6.3
The full behavior by numerical solution
............ 115
6.4
Dam-break stage
......................... 117
6.5
Similarity solution
........................ 120
6.6
The validity of the inviscid approximation
.......... 123
6.7
Some comparisons
........................ 125
7
Box models for axisymmetric geometry
135
7.1
Fixed volume current with inertial-buoyancy balance
.... 135
7.2
Inflow volume change V
=
qta
................. 137
7.2.1
Inertial-buoyancy balance
................ 138
7.2.2
Viscous-buoyancy balance
................ 139
7.2.3
Critical a
......................... 140
8
Effects of rotation
143
8.1
Axisymmetric case
........................ 143
8.1.1
The scaled SWr equations and boundary conditions
. . 147
8.1.2
Steady-state lens (SL)
.................. 151
8.1.3
The
S
W
current and formation of the lens
....... 155
8.1.4
Two-layer models and more about the lens
...... 157
8.1.5
Some experimental and Navier-Stokes results
..... 163
8.1.6
Summary
......................... 172
8.2
Rotating channel
......................... 173
8.2.1
Steady-state results
................... 175
8.2.2
Dam-break considerations
................ 179
9
Buoyancy decays: particle-driven, porous boundary, and en-
trainment
185
9.1
Particle-driven currents
..................... 185
9.1.1
Motion and concentration of particles
......... 186
9.1.2
The motion of the interface
............... 188
9.1.3
Effective reduced gravity and reversing buoyancy effect
190
9.1.4
Momentum equation
................... 192
9.1.5
The governing SW equations
.............. 193
9.1.6
Some SW results
..................... 196
9.1.7
Similarity solution rudiments
.............. 200
9.1.8
Box models
........................ 202
9.2
Axisymmetric particle-driven current
............. 203
9.2.1
The governing SW equations
.............. 204
9.2.2
Some SW results
..................... 206
9.2.3
Similarity solution rudiments
.............. 209
9.2.4
Box models
........................ 211
9.3
Extensions of particle-driven solutions
............. 212
9.4
Current over a porous bottom
................. 213
9.4.1
The porous-boundary velocity condition
........ 214
9.4.2
The shallow-water approximation
........... 215
9.4.3
The SW equations
.................... 217
9.4.4
The global volume balance
............... 218
9.4.5
Some results
....................... 219
9.4.6
Box models
........................ 223
9.5
Axisymmetric current over a porous bottom
......... 225
9.5.1
The SW equations
.................... 225
9.5.2
The global volume balance
............... 226
9.5.3
Some results
....................... 227
9.5.4
Box models
........................ 228
9.6
Entrainment
........................... 230
10
Non-Boussinesq systems
237
10.1
Introduction
........................... 237
10.2
Formulation
........................... 238
10.3
Dam-break and initial slumping motion
............ 241
10.3.1
Asymptotes
........................ 242
10.3.2
General results
...................... 246
10.4
The transition and self-similar stages
............. 248
10.5
Summary
............................. 251
11
Lubrication theory formulation for viscous currents
253
11.1
2D geometry
........................... 253
11.1.1
The governing equations
................. 253
11.1.2
Similarity solution
.................... 258
11.1.3
Summary
......................... 262
11.1.4
Some comparisons
.................... 263
11.1.5
Extensions to viscous surface currents and intrusions
. 264
11.2
Axisymmetric current
...................... 266
11.2.1
The governing equations
................. 266
11.2.2
Similarity solution
.................... 267
11.2.3
Summary
......................... 269
11.2.4
Some comparisons
.................... 270
11.3
Current in a porous medium
.................. 272
11 Stratified ambient currents and intrusions
12
Continuous density transition
277
12.1
Introduction
........................... 277
12.2
The SW formulation
....................... 279
12.2.1
The nose condition
.................... 283
12.3
SW results and comparisons with experiments and simulations
285
12.4
Dam break
............................ 291
12.5
Critical speed and nose-wave interaction
........... 300
12.6
Similarity solution
........................ 304
12.7
The validity of the inviscid approximation
.......... 304
13
Axisymmetric and rotating cases
307
13.1
SW formulation
......................... 307
13.1.1
Steady-state lens (SL)
.................. 311
13.1.2
The energy of the SL
................... 315
13.2
SW and NS finite-difference results
.............. 317
13.3
The validity of the inviscid approximation
.......... 329
14
The steady-state current
331
14.1
Steady-state flow pattern
.................... 333
14.2
Results
.............................. 336
14.2.1
Small
S
(small
7)..................... 336
14.2.2
Large
7.
Validity-stability and criticality
........ 336
14.2.3
The effective g and Fr
................. 338
14.2.4
Energy dissipation
.................... 342
14.3
Comparisons and conclusions
.................. 344
15
Intrusions
in 2D geometry
351
15.1
Introduction
........................... 351
15.2
Two-layer stratification
..................... 353
15.3
Linear transition layer
...................... 354
15.3.1
Formulations
....................... 354
15.3.2
SW equations and boundary conditions
........ 356
15.4
Rectangular lock configurations
................ 359
15.4.1
Part-depth transition layer and full-depth lock
.... 359
15.4.2
Fully linearly-stratified tank, part-depth locks
..... 362
15.5
Cylindrical lock in a fully linearly-stratified tank
....... 369
15.6
Similarity solution
........................ 374
15.6.1
The validity of the inviscid approximation
....... 377
15.7
Non-symmetric intrusions
.................... 377
15.7.1
Equilibrium intrusion
.................. 380
15.7.2
Full-depth lock
...................... 382
15.7.3
Continuous linear stratification
............. 384
15.7.4
Summary
......................... 385
16
Intrusions in axisymmetric geometry
387
16.1
Introduction
........................... 387
16.2
Two-layer stratification
..................... 388
16.3
Fully linearly-stratified tank, part-depth locks
........ 388
16.3.1
Formulation and SW approximations
.......... 389
16.3.2
Similarity solution
.................... 392
16.3.3
SW results and comparisons with NS
.......... 395
16.3.4
The validity of the inviscid approximation
....... 403
16.3.5
Summary
......................... 404
17
Box models for 2D geometry
405
17.1
Fixed volume and inertial-buoyancy balance
......... 406
17.2 5=1,
inflow volume change V
=
qta
............. 408
17.2.1
Inertial-buoyancy balance
................ 409
17.2.2
Viscous-buoyancy balance
................ 411
17.2.3
Criticala
......................... 412
18
Box models for axisymmetric geometry
413
18.1
Fixed volume and inertial-buoyancy balance
......... 414
18.2 5=1,
inflow volume change V
=
qta
............. 415
18.2.1
Inertial-buoyancy balance
................ 417
18.2.2
Viscous-buoyancy balance
................ 418
18.2.3
Criticala
......................... 419
18.2.4
Some experimental support
............... 419
19
Lubrication theory for viscous currents with
5 = 1 421
19.1
2D geometry
........................... 421
19.1.1
Summary
......................... 426
19.2
Axisymmetric geometry
..................... 428
19.2.1
Summary
......................... 431
19.2.2
Some comparisons
.................... 432
20
Energy
433
20.1
Introduction
........................... 433
20.2
2D geometry
........................... 433
20.2.1
SW formulation
...................... 434
20.2.2
Navier-Stokes considerations
.............. 435
20.2.3
Results
.......................... 438
20.3
Axisymmetric geometry
..................... 444
20.3.1
SW model
......................... 445
20.3.2
Navier-Stokes considerations
.............. 446
20.3.3
Results
.......................... 447
A SW equations: characteristics and finite-difference schemes
455
A.I Characteristics
.......................... 455
A.
2
Numerical solution of the SW equations
............ 457
В
Navier-Stokes numerical simulations
461
B.I Formulation
........................... 461
B.2 A finite-difference code
..................... 464
B.3 Other codes
........................... 467
С
Some useful formulas
469
C.I Leibniz s Theorem
........................ 469
C.2 Vectors and coordinate systems
................ 469
C.2.1 Cartesian coordinates
x, y, z
............... 470
С.
2.2
Cylindrical coordinates r,
θ, ζ
.............. 471
Notation guide
473
Bibliography
477
Index
487
|
| any_adam_object | 1 |
| author | Ungarish, Marius 1951- |
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| id | DE-604.BV035496566 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:38:55Z |
| institution | BVB |
| isbn | 9781584889038 |
| language | English |
| lccn | 2009009355 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017552864 |
| oclc_num | 148705307 |
| open_access_boolean | |
| owner | DE-703 DE-634 |
| owner_facet | DE-703 DE-634 |
| physical | XV, 489 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Ungarish, Marius 1951- Verfasser (DE-588)139165185 aut An introduction to gravity currents and intrusions Marius Ungarish Boca Raton, Fla. [u.a.] CRC Press 2009 XV, 489 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Gravity Gravitational fields Density currents Fluid dynamics Mathematical models Gravitationsströmung (DE-588)4274467-2 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s Gravitationsströmung (DE-588)4274467-2 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017552864&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ungarish, Marius 1951- An introduction to gravity currents and intrusions Mathematisches Modell Gravity Gravitational fields Density currents Fluid dynamics Mathematical models Gravitationsströmung (DE-588)4274467-2 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4274467-2 (DE-588)4077970-1 |
| title | An introduction to gravity currents and intrusions |
| title_auth | An introduction to gravity currents and intrusions |
| title_exact_search | An introduction to gravity currents and intrusions |
| title_full | An introduction to gravity currents and intrusions Marius Ungarish |
| title_fullStr | An introduction to gravity currents and intrusions Marius Ungarish |
| title_full_unstemmed | An introduction to gravity currents and intrusions Marius Ungarish |
| title_short | An introduction to gravity currents and intrusions |
| title_sort | an introduction to gravity currents and intrusions |
| topic | Mathematisches Modell Gravity Gravitational fields Density currents Fluid dynamics Mathematical models Gravitationsströmung (DE-588)4274467-2 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Mathematisches Modell Gravity Gravitational fields Density currents Fluid dynamics Mathematical models Gravitationsströmung Strömungsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017552864&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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