Multiphase flow dynamics: 1 Fundamentals
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Springer
2002
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Beschreibung: | XXXII, 699 S. graph. Darst. 1 CD-ROM (12 cm) |
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100 | 1 | |a Kolev, Nikolay Ivanov |d 1951- |e Verfasser |0 (DE-588)110653262 |4 aut | |
245 | 1 | 0 | |a Multiphase flow dynamics |n 1 |p Fundamentals |c Nikolay I. Kolev |
264 | 1 | |a Berlin [u.a.] |b Springer |c 2002 | |
300 | |a XXXII, 699 S. |b graph. Darst. |e 1 CD-ROM (12 cm) | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
650 | 7 | |a Écoulement polyphasique |2 ram | |
650 | 4 | |a Multiphase flow | |
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adam_text |
TABLE
OF
CONTENTS
1
MASS
CONSERVATION
.
1
1.1
INTRODUCTION
.
1
1.2
BASIC
DEFINITIONS
.
2
1.3
NON-STRUCTURED
AND
STRUCTURED
FIELDS
.
10
1.4
SLATTERY-WHITAKER
'
S
LOCAL
SPATIAL
AVERAGING
THEOREM
.
10
1.5
GENERAL
TRANSPORT
EQUATION
(LEIBNITZ
RULE)
.
13
1.6
LOCAL
VOLUME-AVERAGED
MASS
CONSERVATION
EQUATION
.
13
1.7
TIME
AVERAGE
.
17
1.8
LOCAL
VOLUME-AVERAGED
COMPONENT
CONSERVATION
EQUATIONS
.
19
1.9
LOCAL
VOLUME
AND
TIME-AVERAGED
CONSERVATION
EQUATIONS
.
22
1.10
CONSERVATION
EQUATIONS
FOR
THE
NUMBER
DENSITY
OF
PARTICLES
.
26
1.11
IMPLICATION
OF
THE
ASSUMPTION
OF
MONO-DISPERSITY
IN
A
CELL
.
32
1.11.1
PARTICLE
SIZE
SPECTRUM
AND
AVERAGING
.
32
1.11.2
CUTTING
OF
THE
LOWER
PART
OF
THE
SPECTRUM
DUE
TO
MASS
TRANSFER
.
34
1.11.3
THE
EFFECT
OF
THE
AVERAGING
ON
THE
EFFECTIVE
VELOCITY
DIFFERENCE
.
36
1.12
STRATIFIED
STRUCTURE
.
38
1.13
FINAL
REMARKS
AND
CONCLUSIONS
.
39
REFERENCES
.
41
2
MOMENTUM
CONSERVATION
.
45
2.1.
INTRODUCTION
.
45
2.2.
LOCAL
VOLUME-AVERAGED
MOMENTUM
EQUATIONS
.
46
2.2.1
SINGLE-PHASE
MOMENTUM
EQUATIONS
.
46
2.2.2
INTERFACE
FORCE
BALANCE
(MOMENTUM
JUMP
CONDITION)
.
46
2.2.3
LOCAL
VOLUME
AVERAGING
OF
THE
SINGLE-PHASE
MOMENTUM
EQUATION
.
54
2.3
REARRANGEMENT
OF
THE
SURFACE
INTEGRALS
.
56
2.4
LOCAL
VOLUME
AVERAGE
AND
TIME
AVERAGE
.
61
2.5
VISCOUS
AND
REYNOLDS
STRESSES
.
62
2.6
NON-EQUAL
BULK
AND
BOUNDARY
LAYER
PRESSURES
.
65
2.6.1
CONTINUOUS
INTERFACE
.
65
2.6.2
DISPERSED
INTERFACE
.
82
2.7
WORKING
FORM
FOR
DISPERSED
AND
CONTINUOUS
PHASE
.
92
2.8
GENERAL
WORKING
FORM
FOR
DISPERSED
AND
CONTINUOUS
PHASES
.
97
XXVI
TABLE
OF
CONTENTS
2.9
SOME
PRACTICAL
SIMPLIFICATIONS
.
99
2.10
CONCLUSION
.
103
APPENDIX
2.1
.
104
APPENDIX
2.2
.
105
APPENDIX
2.3
.
106
REFERENCES
.
109
3
DERIVATIVES
FOR
THE
EQUATIONS
OF
STATE
.
115
3.1
INTRODUCTION
.
115
3.2
MULTI-COMPONENT
GAS
MIXTURES
.
117
3.2.1
COMPUTATION
OF
PARTIAL
PRESSURES
FOR
KNOWN
MASS
CONCENTRATIONS,
SY
STEM
PRESSURE
AND
TEMPERATURE
.
117
3.2.2
PARTIAL
DERIVATIVES
OF
THE
EQUATION
OF
STATE
P
=
P[P,T,
C
2
T
)
124
3.2.3
PARTIAL
DERIVATIVES
IN
THE
EQUATION
OF
STATE
T
=
T^CP,
P,
C
2
,
),
WHERE
P
=
S,H,E
.
128
3.2.4
PARTIAL
DERIVATIVES
IN
THE
EQUATION
OF
STATE
P
=
P
(
P,
CP,
C
2
T
),
WHERE
P
=
S,H,E
.
138
3.3
MIXTURE
OF
LIQUIDS
AND
MICROSCOPIC
SOLID
PARTICLES
OF
DIFFERENT
CHEMICAL
SUBSTANCES
.
141
3.3.1
PARTIAL
DERIVATIVES
IN
THE
EQUATION
OF
STATE
P
-
P
(P,
T,
C
2
,
)
.
142
3.3.2
PARTIAL
DERIVATIVES
IN
THE
EQUATION
OF
STATE
T
=
T^P, P,C
2
,
)
WHERE
P
=
H,E,S
.
144
3.4
SINGLE-COMPONENT
EQUILIBRIUM
FLUID
.
148
3.4.1
SUPERHEATED
STEAM
.
149
3.4.2
RECONSTRUCTION
OF
EQUATION
OF
STATE
BY
USING
LIMITED
AMOUNT
OF
DATA
AVAILABLE
.
150
3.4.3
VAPOR/LIQUID
MIXTURE
.
159
3.4.4
LIQUID-SOLID
MIXTURE
.
160
3.4.5
SOLID
PHASE
.
160
APPENDIX
3.1
APPLICATION
OF
THE
THEORY
TO
STEAM/AIR
MIXTURES
.
160
APPENDIX
3.2
REVIEW
OF
USEFUL
REFERENCES
FOR
COMPUTING
PROPERTIES
OF
SINGLE
CONSTITUENTS
.
162
REFERENCES
.
164
4
ON
THE
VARIETY
OF
NOTATIONS
OF
THE
ENERGY
CONSERVATION
FOR
SINGLE-PHASE
FLOW
.
167
4.1
INTRODUCTION
.
168
4.2
MASS
AND
MOMENTUM
CONSERVATION,
ENERGY
CONSERVATION
.
168
4.3
SIMPLE
NOTATION
OF
THE
ENERGY
CONSERVATION
EQUATION
.
169
TABLE
OF
CONTENTS
XXVII
4.4
THE
ENTROPY
.
170
4.5
EQUATION
OF
STATE
.
171
4.6
VARIETY
OF
NOTATION
OF
THE
ENERGY
CONSERVATION
PRINCIPLE
.
172
4.6.1
TEMPERATURE
.
172
4.6.2
SPECIFIC
ENTHALPY
.
172
4.7
SUMMARY
OF
DIFFERENT
NOTATIONS
.
173
4.8
THE
EQUIVALENCE
OF
THE
CANONICAL
FORMS
.
174
4.9
EQUIVALENCE
OF
THE
ANALYTICAL
SOLUTIONS
.
177
4.10
EQUIVALENCE
OF
THE
NUMERICAL
SOLUTIONS
?
.
178
4.10.1
EXPLICIT
FIRST
ORDER
METHOD
OF
CHARACTERISTICS
.
178
4.10.2
THE
PERFECT
GAS
SHOCK
TUBE:
BENCHMARK
FOR
NUMERICAL
METHODS
.
180
4.11
INTERPENETRATING
FLUIDS
.
189
4.12
SUMMARY
OF
DIFFERENT
NOTATIONS
FOR
INTERPENETRATING
FLUIDS
.
195
APPENDIX
4.1
ACHIEVABLE
ACCURACY
OF
THE
DONOR-CELL
METHOD
FOR
SINGLE-PHASE
GAS
OR
LIQUID
FLOWS
.
197
REFERENCES
.
201
5
FIRST
AND
SECOND
LAWS
OF
THE
THERMODYNAMICS
FOR
MULTI-PHASE
MULTI
COMPONENT
FLOWS
.
203
5.1
INTRODUCTION
.
203
5.2
INSTANTANEOUS
LOCAL
VOLUME
AVERAGE
ENERGY
EQUATIONS
.
206
5.3
DALTON'S
LAW,
FICK'S
LAW,
CENTER
OF
MASS
MIXTURE
VELOCITY,
CALORIC
MIXTURE
PROPERTIES
.
214
5.4
ENTHALPY
EQUATION
.
216
5.5
INTERNAL
ENERGY
EQUATION
.
221
5.6
ENTROPY
EQUATION
.
222
5.7
LOCAL
VOLUME
AND
TIME-AVERAGED
ENTROPY
EQUATION
.
225
5.8
LOCAL
VOLUME
AND
TIME-AVERAGED
INTERNAL
ENERGY
EQUATION
.
231
5.9
LOCAL
VOLUME
AND
TIME-AVERAGED
SPECIFIC
ENTHALPY
EQUATION
.
233
5.10
NON-CONSERVATIVE
AND
SEMI-CONSERVATIVE
FORMS
OF
THE
ENTROPY
EQUATION
.
236
5.11
COMMENTS
ON
THE
SOURCE
TERMS
IN
THE
MIXTURE
ENTROPY
EQUATION
.
238
5.12
VISCOUS
DISSIPATION
.
244
5.13
TEMPERATURE
EQUATION
.
247
5.14
SECOND
LAW
OF
THE
THERMODYNAMICS
.
251
5.15
MIXTURE
VOLUME
CONSERVATION
EQUATION
.
252
5.16
LINEARIZED
FORM
OF
THE
SOURCE
TERM
FOR
THE
TEMPERATURE
EQUATION
.
259
5.17
INTERFACE
CONDITIONS
.
267
5.18
LUMPED
PARAMETER
VOLUMES
.
268
5.19
FINAL
REMARKS
.
269
REFERENCES
.
270
XXVIII
TABLE
OF
CONTENTS
6
SOME
SIMPLE
APPLICATIONS
OF
THE
MASS
AND
ENERGY
CONSERVATION
FOR
MULTI
COMPONENT
SINGLE-PHASE
SYSTEMS
.
273
6.1
INFINITE
HEAT
EXCHANGE
WITHOUT
INTERFACIAL
MASS
TRANSFER
.
273
6.2
DISCHARGE
OF
GAS
FROM
A
VOLUME
.
276
6.3
INJECTION
OF
INERT
GAS
IN
CLOSED
VOLUME
INITIALLY
FILLED
WITH
INERT
GAS
.
278
6.4
HEAT
INPUT
IN
GAS
BEING
IN
CLOSED
VOLUME
.
279
6.5
STEAM
INJECTION
IN
STEAM-AIR
MIXTURE
.
280
6.6
CHEMICAL
REACTION
IN
A
GAS
MIXTURE
IN
CLOSED
VOLUME
.
284
6.7
HYDROGEN
COMBUSTION
IN
INERT
ATMOSPHERE
.
286
REFERENCES
.
289
7
EXERGY
OF
MULTI-PHASE
MULTI-COMPONENT
SYSTEMS
.
291
7.1
INTRODUCTION
.
291
7.2
THE
PSEUDO-EXERGY
EQUATION
FOR
SINGLE-FLUID
SYSTEMS
.
291
7.3
THE
FUNDAMENTAL
EXERGY
EQUATION
.
293
7.3.1
THE
EXERGY
DEFINITION
IN
ACCORDANCE
WITH
REYNOLDS
AND
PERKINS
293
7.3.2
THE
EXERGY
DEFINITION
IN
ACCORDANCE
WITH
GOUY
(1
'
ENERGIE
UTILISABLE,
1889).
295
7.3.3
THE
EXERGY
DEFINITION
APPROPRIATE
FOR
ESTIMATION
OF
THE
VOLUME
CHANGE
WORK
.
296
7.3.4
THE
EXERGY
DEFINITION
APPROPRIATE
FOR
ESTIMATION
OF
THE
TECHNICAL
WORK
.
297
7.4
SOME
INTERESTING
CONSEQUENCES
OF
THE
FUNDAMENTAL
EXERGY
EQUATION
.
297
7.5
JUDGING
THE
EFFICIENCY
OF
A
HEAT
PUMP
AS
AN
EXAMPLE
OF
APPLICATION
OF
THE
EXERGY
.
299
7.6
THREE-FLUID
MULTI-COMPONENT
SYSTEMS
.
301
7.7
PRACTICAL
RELEVANCE
.
305
REFERENCES
.
305
8
ONE-DIMENSIONAL
THREE-FLUID
FLOW
.
307
8.1
SUMMARY
OF
THE
LOCAL
VOLUME
AND
TIME-AVERAGED
CONSERVATION
EQUATIONS
.
307
8.2
TREATMENT
OF
THE
FIELD
PRESSURE
GRADIENT
FORCES
.
311
8.2.1
DISPERSED
FLOWS
.
311
8.2.2
STRATIFIED
FLOW
.
311
8.3
PIPE
DEFORMATION
DUE
TO
TEMPORAL
PRESSURE
CHANGE
IN
THE
FLOW
.
312
8.4
SOME
SIMPLE
CASES
.
314
8.5
SLIP
MODEL
-
TRANSIENT
FLOW
.
322
8.6
SLIP
MODEL
-
STEADY
STATE.
CRITICAL
MASS
FLOW
RATE
.
326
8.7
FORCES
ACTING
ON
THE
PIPES
DUE
TO
THE
FLOW
-
THEORETICAL
BASICS
.
334
8.8
RELIEF
VALVES
.
342
8.8.1
INTRODUCTION
.
342
8.8.2
VALVE
CHARACTERISTICS,
MODEL
FORMULATION
.
342
8.8.3
ANALYTICAL
SOLUTION
.
347
TABLE
OF
CONTENTS
XXIX
8.8.4
FITTING
THE
PIECEWISE
SOLUTION
ON
TWO
KNOWN
POSITION
-
TIME
POINTS
.
349
8.8.5
FITTING
THE
PIECEWISE
SOLUTION
ON
KNOWN
VELOCITY
AND
POSITION
FOR
A
GIVEN
TIME
.
351
8.8.6
IDEALIZED
VALVE
CHARACTERISTICS
.
352
8.8.7
RECOMMENDATIONS
FOR
THE
APPLICATION
OF
THE
MODEL
IN
SYSTEM
COMPU
TER
CODES
.
355
8.8.8
SOME
ILLUSTRATIONS
OF
THE
VALVE
PERFORMANCE
MODEL
.
358
8.8.9
NOMENCLATURE
FOR
SECTION
8
.
364
8.9
PUMP
MODEL
.
365
8.9.1
VARIABLES
DEFINING
THE
PUMP
BEHAVIOR
.
366
8.9.2
THEORETICAL
BASICS
.
369
8.9.3
SUTER
DIAGRAM
.
377
8.9.4
COMPUTATIONAL
PROCEDURE
.
385
8.9.5
CENTRIFUGAL
PUMP
DRIVE
MODEL
.
386
8.9.6
EXTENSION
OF
THE
THEORY
TO
MULTI-PHASE
FLOW
.
386
REFERENCES
.
391
9
DETONATION
WAVES
IN
MELT-COOLANT
INTERACTION
.
393
9.1
INTRODUCTION
.
393
9.2
SINGLE-PHASE
THEORY
.
395
9.2.1
CONTINUUM
-
SOUND
WAVES
(LAPLACE)
.
395
9.2.2
DISCONTINUUM
-
SHOCK
WAVES
(RANKINE-HUGONIOT)
.
396
9.3
MULTI-PHASE
FLOW
.
399
9.3.1
CONTINUUM
-
SOUND
WAVES
.
399
9.3.2
DISCONTINUUM
-
SHOCK
WAVES
.
402
9.3.3
MELT-COOLANT
INTERACTION
DETONATIONS
.
404
9.3.4
SIMILARITY
TO
AND
DIFFERENCES
FROM
THE
YUEN
AND
THEOFANOUS
FORMALISM
.
409
9.3.5
NUMERICAL
SOLUTION
METHOD
.
410
9.4
DETONATION
WAVES
IN
WATER
MIXED
WITH
DIFFERENT
MOLTEN
MATERIALS
.
411
9.4.1
UO
2
-
WATER
SYSTEM
.
412
9.4.2
EFFICIENCIES
.
416
9.4.3
THE
MAXIMUM
COOLANT
ENTRAINMENT
RATIO
.
419
9.5
CONCLUSIONS
.
421
9.6
PRACTICAL
SIGNIFICANCE
.
423
APPENDIX
9.1
SPECIFIC
CAPACITY
AT
CONSTANT
PRESSURE
FOR
URANIA
AND
ALUMNA
.423
REFERENCES
.
424
10
CONSERVATION
EQUATIONS
IN
GENERAL
CURVILINEAR
COORDINATE
SYSTEMS
.
427
10.1
INTRODUCTION
.
427
10.2
FIELD
MASS
CONSERVATION
EQUATIONS
.
428
XXX
TABLE
OF
CONTENTS
10.3
FIELD
MASS
CONSERVATION
EQUATIONS
FOR
COMPONENTS
INSIDE
THE
FIELD
-
CON
SERVATIVE
FORM
.
431
10.4
FIELD
MASS
CONSERVATION
EQUATIONS
FOR
COMPONENTS
INSIDE
THE
FIELD
-
NON-CONSERVATIVE
FORM
.
434
10.5.
PARTICLES
NUMBER
CONSERVATION
EQUATIONS
FOR
EACH
VELOCITY
FIELD
.
434
10.6
FIELD
ENTROPY
CONSERVATION
EQUATIONS
-
CONSERVATIVE
FORM
.
435
10.7
FIELD
ENTROPY
CONSERVATION
EQUATIONS
-
NON-CONSERVATIVE
FORM
.
436
10.8
IRREVERSIBLE
POWER
DISSIPATION
CAUSED
BY
THE
VISCOUS
FORCES
.
437
10.9
THE
NON-CONSERVATIVE
ENTROPY
EQUATION
IN
TERMS
OF
TEMPERATURE
AND
PRES
SURE
.
439
10.10
THE
VOLUME
CONSERVATION
EQUATION
.
441
10.11
THE
MOMENTUM
EQUATIONS
.
443
10.12
THE
FLUX
CONCEPT,
CONSERVATIVE
AND
SEMI-CONSERVATIVE
FORMS
.
451
10.12.1
MASS
CONSERVATION
EQUATION
.
452
10.12.2
ENTROPY
EQUATION
.
453
10.12.3
TEMPERATURE
EQUATION
.
454
10.12.4
MOMENTUM
CONSERVATION
IN
THE
X-DIRECTION
.
455
10.12.5
MOMENTUM
CONSERVATION
IN
THE
Y-DIRECTION
.
456
10.12.6
MOMENTUM
CONSERVATION
IN
THE
Z-DIRECTION
.
458
10.13
CONCLUDING
REMARKS
.
459
REFERENCES
.
459
11
NUMERICAL
SOLUTION
METHODS
FOR
MULTI-PHASE
FLOW
PROBLEMS
.
461
11.1
INTRODUCTION.
461
11.2
FORMULATION
OF
THE
MATHEMATICAL
PROBLEM
.
461
11.3
SPACE
DISCRETIZATION
AND
LOCATION
OF
THE
DISCRETE
VARIABLES
.
464
11.4
DISCRETIZATION
OF
THE
MASS
CONSERVATION
EQUATIONS
.
468
11.5
FIRST
ORDER
DONOR-CELL
FINITE
DIFFERENCE
APPROXIMATIONS
.
470
11.6
DISCRETIZATION
OF
THE
CONCENTRATION
EQUATIONS
.
473
11.7
DISCRETIZATION
OF
THE
ENTROPY
EQUATION
.
474
11.8
DISCRETIZATION
OF
THE
TEMPERATURE
EQUATION
.
474
11.9.
PHYSICAL
SIGNIFICANCE
OF
THE
NECESSARY
CONVERGENCE
CONDITION
.
477
11.10.
IMPLICIT
DISCRETIZATION
OF
MOMENTUM
EQUATIONS
.
480
11.11
PRESSURE
EQUATIONS
FOR
IVA2
AND
IV
A3
COMPUTER
CODES
.
487
11.12
A
VEWTOW-TYPE
ITERATION
METHOD
FOR
MULTI-PHASE
FLOWS
.
491
11.13
INTEGRATION
PROCEDURE
-
IMPLICIT
METHOD
.
501
11.14
TIME
STEP
AND
ACCURACY
CONTROL
.
503
11.15
HIGH
ORDER
DISCRETIZATION
SCHEMES
FOR
CONVECTION-DIFFUSION
TERMS
.
504
11.15.
1
SPACE
EXPONENTIAL
SCHEME
.
504
11.15.2
HIGH
ORDER
UPWINDING
.
507
11.15.3
CONSTRAINED
INTERPOLATION
PROFILE
(CIP)
METHOD
.
509
11.16
PIPE
NETWORKS
-
SOME
BASIC
DEFINITIONS
.
516
11.16.1
PIPES
.
516
11.16.2
AXIS
IN
THE
SPACE
.
518
11.16.3
DIAMETERS
OF
PIPE
SECTIONS
.
519
TABLE
OF
CONTENTS
XXXI
11.16.4
REDUCTIONS
.
520
11.16.5
ELBOWS
.
520
11.16.6
CREATING
A
LIBRARY
OF
PIPES
.
521
11.16.7
SUB
SYSTEM
NETWORK
.
522
11.16.8
DISCRETIZATION
OF
PIPES
.
523
11.16.9
KNOTS
.
523
APPENDIX
11.1
DEFINITIONS
APPLICABLE
TO
DISCRETIZATION
OF
THE
MASS
CONSER
VATION
EQUATIONS
.
525
APPENDIX
11.2
DISCRETIZATION
OF
THE
CONCENTRATION
EQUATIONS
.
528
APPENDIX
11.3
HARMONIC
AVERAGED
DIFFUSION
COEFFICIENTS
.
530
APPENDIX
11.4.
DISCRETIZED
RADIAL
MOMENTUM
EQUATION
.
532
APPENDIX
11.5
THE
A
COEFFICIENTS
FOR
EQ.
(11.46)
.
538
APPENDIX
11.6
DISCRETIZATION
OF
THE
ANGULAR
MOMENTUM
EQUATION
.
538
APPENDIX
11.7
DISCRETIZATION
OF
THE
AXIAL
MOMENTUM
EQUATION
.
540
APPENDIX
11.8
ANALYTICAL
DERIVATIVES
FOR
THE
RESIDUAL
ERROR
OF
EACH
EQUATION
WITH
RESPECT
TO
THE
DEPENDENT
VARIABLES
.
542
APPENDIX
11.9
SIMPLE
INTRODUCTION
TO
ITERATIVE
METHODS
FOR
SOLUTION
OF
AL
GEBRAIC
SYSTEMS
.
546
REFERENCES
.
547
12
NUMERICAL
SOLUTION
METHOD
FOR
MULTI-PHASE
FLOW
PROBLEMS
IN
CURVILINEAR
COORDINATE
SYSTEMS
.
553
12.1
INTRODUCTION
.
553
12.2
NODES,
GRIDS,
MESHES,
TOPOLOGY
-
SOME
BASIC
DEFINITIONS
.
553
12.3
FORMULATION
OF
THE
MATHEMATICAL
PROBLEM
.
555
12.4
DISCRETIZATION
OF
THE
MASS
CONSERVATION
EQUATIONS
IN
CURVILINEAR
COORDI
NATE
SYSTEMS
.
556
12.4.1
INTEGRATION
OVER
A
FINITE
TIME
STEP
AND
FINITE
CONTROL
VOLUME
.
556
12.4.2
THE
DONOR-CELL
CONCEPT
.
560
12.4.3
TWO
METHODS
FOR
COMPUTING
THE
FINITE
DIFFERENCE
APPROXIMATIONS
OF
THE
CONTRAVARIANT
VECTORS
AT
THE
CELL
CENTER
.
563
12.4.4
DISCRETIZATION
OF
THE
DIFFUSION
TERMS
.
566
12.5
DISCRETIZATION
OF
THE
ENTROPY
EQUATION
.
571
12.6
DISCRETIZATION
OF
THE
TEMPERATURE
EQUATION
.
572
12.7
DISCRETIZATION
OF
THE
PARTICLE
NUMBER
DENSITY
EQUATION
.
573
12.8
DISCRETIZATION
OF
THE
X
MOMENTUM
EQUATION
.
573
12.9
DISCRETIZATION
OF
THE
Y
MOMENTUM
EQUATION
.
575
12.10.
DISCRETIZATION
OF
THE
Z
MOMENTUM
EQUATION
.
576
12.11
PRESSURE-VELOCITY
COUPLING
.
577
12.12
STAGGERED
X
MOMENTUM
EQUATION
.
583
APPENDIX
12.1
HARMONIC
AVERAGED
DIFFUSION
COEFFICIENTS
.
595
APPENDIX
12.2
OFF-DIAGONAL
VISCOUS
DIFFUSION
TERMS
OF
THE
X
MOMENTUM
EQUA
TION
.
597
XXXII
TABLE
OF
CONTENTS
APPENDIX
12.3
OFF-DIAGONAL
VISCOUS
DIFFUSION
TERMS
OF
THE
Y
MOMENTUM
EQUA
TION
.
601
APPENDIX
12.4
OFF-DIAGONAL
VISCOUS
DIFFUSION
TERMS
THE
Z
MOMENTUM
EQUATI
ON
.
604
REFERENCES
.
607
APPENDIX
1
BRIEF
INTRODUCTION
TO
VECTOR
ANALYSIS
.
609
APPENDIX
2
BASICS
OF
THE
COORDINATE
TRANSFORMATION
THEORY
.
637 |
any_adam_object | 1 |
author | Kolev, Nikolay Ivanov 1951- |
author_GND | (DE-588)110653262 |
author_facet | Kolev, Nikolay Ivanov 1951- |
author_role | aut |
author_sort | Kolev, Nikolay Ivanov 1951- |
author_variant | n i k ni nik |
building | Verbundindex |
bvnumber | BV014569144 |
ctrlnum | (OCoLC)492079620 (DE-599)BVBBV014569144 |
dewey-full | 620.1064 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 620 - Engineering and allied operations |
dewey-raw | 620.1064 |
dewey-search | 620.1064 |
dewey-sort | 3620.1064 |
dewey-tens | 620 - Engineering and allied operations |
format | Book |
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id | DE-604.BV014569144 |
illustrated | Illustrated |
indexdate | 2024-08-22T00:30:42Z |
institution | BVB |
isbn | 3540429840 3540430172 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009906277 |
oclc_num | 492079620 |
open_access_boolean | |
owner | DE-703 DE-573 DE-29T DE-1046 DE-91G DE-BY-TUM DE-634 DE-83 |
owner_facet | DE-703 DE-573 DE-29T DE-1046 DE-91G DE-BY-TUM DE-634 DE-83 |
physical | XXXII, 699 S. graph. Darst. 1 CD-ROM (12 cm) |
publishDate | 2002 |
publishDateSearch | 2002 |
publishDateSort | 2002 |
publisher | Springer |
record_format | marc |
spelling | Kolev, Nikolay Ivanov 1951- Verfasser (DE-588)110653262 aut Multiphase flow dynamics 1 Fundamentals Nikolay I. Kolev Berlin [u.a.] Springer 2002 XXXII, 699 S. graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Écoulement polyphasique ram Multiphase flow Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Mehrphasenströmung (DE-588)4169315-2 gnd rswk-swf Mehrphasenströmung (DE-588)4169315-2 s Numerische Strömungssimulation (DE-588)4690080-9 s DE-604 (DE-604)BV014569143 1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009906277&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kolev, Nikolay Ivanov 1951- Multiphase flow dynamics Écoulement polyphasique ram Multiphase flow Numerische Strömungssimulation (DE-588)4690080-9 gnd Mehrphasenströmung (DE-588)4169315-2 gnd |
subject_GND | (DE-588)4690080-9 (DE-588)4169315-2 |
title | Multiphase flow dynamics |
title_auth | Multiphase flow dynamics |
title_exact_search | Multiphase flow dynamics |
title_full | Multiphase flow dynamics 1 Fundamentals Nikolay I. Kolev |
title_fullStr | Multiphase flow dynamics 1 Fundamentals Nikolay I. Kolev |
title_full_unstemmed | Multiphase flow dynamics 1 Fundamentals Nikolay I. Kolev |
title_short | Multiphase flow dynamics |
title_sort | multiphase flow dynamics fundamentals |
topic | Écoulement polyphasique ram Multiphase flow Numerische Strömungssimulation (DE-588)4690080-9 gnd Mehrphasenströmung (DE-588)4169315-2 gnd |
topic_facet | Écoulement polyphasique Multiphase flow Numerische Strömungssimulation Mehrphasenströmung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009906277&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV014569143 |
work_keys_str_mv | AT kolevnikolayivanov multiphaseflowdynamics1 |