Theory of structured multiphase mixtures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona
Springer
1991
|
| Schriftenreihe: | Lecture notes in physics
372 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 201 - 207 |
| Beschreibung: | IX, 223 S. graph. Darst. |
| ISBN: | 3540535640 0387535640 |
Internformat
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| 100 | 1 | |a Dobran, Flavio |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Theory of structured multiphase mixtures |c Flavio Dobran |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona |b Springer |c 1991 | |
| 300 | |a IX, 223 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in physics |v 372 | |
| 500 | |a Literaturverz. S. 201 - 207 | ||
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Datensatz im Suchindex
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CONTENTS
CHAPTER
1
INTRODUCTION
.
1
1.1
HISTORICAL
MILESTONES,
1
1.2
SCOPE
OF
THE
MONOGRAPH,
5
1.3
GENERAL
SCHEME
OF
NOTATION
AND
LIST
OF
SYMBOLS,
6
CHAPTER
2
FIELD
EQUATIONS
OF
MULTIPHASE
MIXTURES
.
13
2.1
CHOICE
OF
THE
AVERAGING
APPROACH,
13
2.2
BASIC
KINEMATICAL
CONCEPTS
AND
LOCAL
MACROSCOPIC
FIELD
EQUATIONS,
16
2.3
THE
VOLUME
AVERAGING
PROCEDURE
AND
GENERAL
PHASIC
EQUATION
OF
BALANCE,
19
2.4
BASIC
CONSERVATION
AND
BALANCE
EQUATIONS
OF
MULTIPHASE
MIXTURES,
22
2.4.1
KINEMATICS
OF
THE
SUPERIMPOSED
CONTINUA
2.4.2
BALANCE
OF
MASS
2.4.3
BALANCE
OF
LINEAR
MOMENTUM
2.4.4
BALANCE
OF
ANGULAR
MOMENTUM
2.4.5
BALANCE
OF
ENERGY
2.4.6
ENTROPY
INEQUALITY
2.4.7
PROOF
OF
THE
EXISTENCE
OF
PHASIC
STRESS
TENSOR
2.5
PROPERTIES
OF
THE
AVERAGED
EQUATIONS,
33
2.6
CONCLUDING
REMARKS,
35
CHAPTER
3
THE
MATERIAL
DEFORMATION
POSTULATE
AND
FIELD
EQUATIONS
OF
MULTIPHASE
MIXTURES
WITH
STRUCTURE
.
37
3.1
THE
BASIC
MATERIAL
DEFORMATION
POSTULATE,
37
VI
3.2
ADDITIONAL
TRANSPORT
EQUATIONS
IN
THE
THEORY
OF
MULTIPHASE
MIXTURES,
41
3.2.1
BALANCE
EQUATION
FOR
THE
EQUILIBRATED
INERTIA
3.2.2
BALANCE
EQUATION
FOR
THE
EQUILIBRATED
MOMENTS
3.3
MOMENTUM
AND
ENERGY
SOURCES,
44
3.4
ALTERNATE
FORMS
OF
BALANCE
EQUATIONS,
47
3.4.1
PHASIC
BALANCE
EQUATIONS
3.4.2
MIXTURE
BALANCE
EQUATIONS
3.5
CONCLUDING
REMARKS,
52
CHAPTER
4
RESTRICTIONS
IMPOSED
ON
FIELD
EQUATIONS
BY
THE
PRINCIPLE
OF
MATERIAL
FRAME-INDIFFERENCE
.
55
4.1
EVENTS,
FRAMES,
CHANGE
OF
FRAME,
AND
FRAME-INDIFFERENCE,
55
4.2
THE
PRINCIPLE
OF
MATERIAL
FRAME-INDIFFERENCE
FOR
MULTIPHASE
MIXTURES,
57
4.3
TRANSFORMATION
PROPERTIES
OF
MULTIPHASE
VARIABLES,
59
4.4
REMARKS
ON
THE
CLOSURE
OF
CONSERVATION
AND
BALANCE
EQUATIONS
BY
THE
CONSTITUTIVE
RELATIONS,
65
4.5
CONCLUDING
REMARKS,
66
CHAPTER
5
SIMPLIFICATION
OF
THE
THEORY
OF
STRUCTURED
MULTIPHASE
MIXTURES
.
69
5.1
FURTHER
RESTRICTIONS
ON
THE
MATERIAL
DEFORMATION
RELATIVE
TO
THE
CENTER
OF
MASS,
69
5.2
BALANCE
EQUATIONS
OF
MULTIPHASE
MIXTURES
WITH
ROTATION
AND
DILATATION,
71
5.2.1
BALANCE
EQUATION
FOR
THE
EQUILIBRATED
INERTIA
5.2.2
BALANCE
EQUATIONS
FOR
EQUILIBRATED
MOMENTS
5.2.3
THE
ENERGY
BALANCE
EQUATION
5.3
BALANCE
EQUATIONS
OF
MULTIPHASE
MIXTURES
WITH
DILATATION,
75
5.4
COMPARISON
OF
RESULTS
WITH
OTHER
THEORIES
OF
STRUCTURED
MULTIPHASE
MIXTURES,
77
5.5
CONCLUDING
REMARKS,
83
CHAPTER
6
CONCEPTS
AND
PRINCIPLES
OF
CONSTITUTIVE
THEORY
.
85
6.1
PURPOSE
OF
THE
CHAPTER,
85
6.2
PRINCIPLE
OF
DETERMINISM,
85
6.3
PRINCIPLE
OF
LOCAL
ACTION,
89
6.4
PRINCIPLE
OF
SMOOTH
AND
LOCAL
MEMORY,
91
6.5
PRINCIPLES
OF
LOCAL
ACTION
AND
SMOOTH
AND
LOCAL
MEMORY
COMBINED,
92
6.6
PRINCIPLE
OF
MATERIAL
FRAME-INDIFFERENCE,
93
6.6.1
RIGID
TRANSLATION
OF
THE
SPATIAL
FRAME
6.6.2
SHIFT
OF
TIME
6.6.3
RIGID
ROTATION
OF
THE
SPATIAL
FRAME
6.7
MATERIAL
ISOMORPHISMS,
98
6.8
REDUCED
CONSTITUTIVE
EQUATIONS
AND
ISOTROPIC
MULTIPHASE
MIXTURES,
104
6.9
SOLIDLIKE
AND
FLUIDLIKE
MIXTURES,
111
6.9.1
SOLIDLIKE
MIXTURES
6.9.2
FLUIDLIKE
MIXTURES
6.9.3
MIXTURES
OF
ISOTROPIC
SOLIDS
AND
FLUIDS
6.10
COMBINED
PRINCIPLES
OF
LOCAL
ACTION
AND
SMOOTH
AND
LOCAL
MEMORY
FOR
A
MIXTURE
OF
ISOTROPIC
SOLIDS
AND
FLUIDS,
116
6.11
THE
ROLE
OF
ENTROPY
INEQUALITY
OR
AXIOM
OF
DISSIPATION
IN
THE
CONSTITUTIVE
THEORY,
117
6.12
INTERNAL
CONSTRAINTS,
117
6.12.1
GENERAL
CONSIDERATIONS
6.12.2
PREVIOUS
WORKS
6.12.3
RESTRICTIONS
IMPOSED
ON
INTERNAL
CONSTRAINTS
RELATIONS
BY
NO
ENTROPY
AND
WORK
PRODUCTION
PRINCIPLES
6.12.4
SPECIAL
RESULTS
6.12.5
DISCUSSION
6.13
PRINCIPLE
OF
PHASE
SEPARATION,
126
6.14
CONCLUDING
REMARKS,
127
CHAPTER
7
CONSTITUTIVE
EQUATIONS
.
129
7.1
PURPOSE
OF
THE
CHAPTER,
129
VIII
7.2
BALANCE
EQUATIONS
OF
MULTIPHASE
MIXTURES
WITH
ROTATION
AND
DILATATION,
130
7.3
BALANCE
EQUATIONS
OF
MULTIPHASE
MIXTURES
WITH
DILATATION,
134
7.4
CONSTITUTIVE
EQUATIONS
FOR
MIXTURES
OF
ISOTROPIC
FLUIDS,
136
7.5
LINEARIZED
CONSTITUTIVE
EQUATIONS
FOR
MIXTURES
OF
ISOTROPIC
FLUIDS,
144
7.6
RESTRICTIONS
OF
MATERIAL
COEFFICIENTS
OF
LINEARIZED
CONSTITUTIVE
EQUATIONS
WITHOUT
PHASE
CHANGE,
151
7.7
TWO-PHASE
STRUCTURED
MODELS
WITHOUT
PHASE
CHANGE,
156
7.7.1
SUMMARY
OF
THE
LINEARIZED
CONSTITUTIVE
EQUATIONS
7.7.2
TWO-PHASE
MODELING
EQUATIONS
7.7.3
EXAMPLES
OF
TWO-PHASE
MODELS
7.7.3.1
SATURATED
AND
CONCENTRATED
MIXTURES
WITH
INCOMPRESSIBLE
PHASES
AND
NEGLIGIBLE
INERTIAL
EFFECTS
7.7.3.2
SATURATED
AND
DILUTE
MIXTURES
WITH
INCOMPRESSIBLE
PHASES
AND
NEGLIGIBLE
INERTIAL
EFFECTS
7.7.3.3
SATURATED
AND
DILUTE
MIXTURES
WITH
COMPRESSIBLE
PHASES
AND
THE
RAYLEIGH-TYPE
BUBBLE
EQUATION
7.8
DISCUSSION
OF
RESULTS,
168
7.9
APPLICATION
OF
THE
THEORY
TO
SHEARING
FLOW
OF
A
FLUID-SATURATED
GRANULAR
MATERIAL,
175
7.10
CONCLUDING
REMARKS,
180
CHAPTER
8
MIXTURES
WITH
ROTATION
AND
DILATATION
.
183
8.1
PURPOSE
OF
THE
CHAPTER,
183
8.2
CONSTITUTIVE
EQUATIONS
FOR
MIXTURES
OF
ISOTROPIC
FLUIDS,
183
8.3
LINEARIZED
CONSTITUTIVE
EQUATIONS
WITH
ROTATION
AND
DILATATION,
186
8.4
TWO-PHASE
MODELING
EQUATIONS
WITH
ROTATIONAL
AND
DILATATIONAL
EFFECTS,
192
8.5
NONLINEAR
CONSTITUTIVE
EQUATIONS,
195
8.6
CONCLUDING
REMARKS,
200
BIBLIOGRAPHY
.
201
IX
APPENDIX
THEOREMS
OF
ALGEBRA,
GEOMETRY
AND
CALCULUS
.
209
INDEX
.
219 |
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| id | DE-604.BV025873382 |
| illustrated | Illustrated |
| indexdate | 2024-08-20T00:54:31Z |
| institution | BVB |
| isbn | 3540535640 0387535640 |
| language | English |
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| oclc_num | 260141869 |
| open_access_boolean | |
| owner | DE-11 |
| owner_facet | DE-11 |
| physical | IX, 223 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Dobran, Flavio Verfasser aut Theory of structured multiphase mixtures Flavio Dobran Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona Springer 1991 IX, 223 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 372 Literaturverz. S. 201 - 207 Struktur (DE-588)4058125-1 gnd rswk-swf Gemisch (DE-588)4132151-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Strukturierung (DE-588)4200339-8 gnd rswk-swf Mehrphasensystem (DE-588)4125888-5 gnd rswk-swf Gemisch (DE-588)4132151-0 s Mehrphasensystem (DE-588)4125888-5 s Struktur (DE-588)4058125-1 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Strukturierung (DE-588)4200339-8 s Lecture notes in physics 372 (DE-604)BV000003166 372 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019120590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dobran, Flavio Theory of structured multiphase mixtures Lecture notes in physics Struktur (DE-588)4058125-1 gnd Gemisch (DE-588)4132151-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Strukturierung (DE-588)4200339-8 gnd Mehrphasensystem (DE-588)4125888-5 gnd |
| subject_GND | (DE-588)4058125-1 (DE-588)4132151-0 (DE-588)4114528-8 (DE-588)4200339-8 (DE-588)4125888-5 |
| title | Theory of structured multiphase mixtures |
| title_auth | Theory of structured multiphase mixtures |
| title_exact_search | Theory of structured multiphase mixtures |
| title_full | Theory of structured multiphase mixtures Flavio Dobran |
| title_fullStr | Theory of structured multiphase mixtures Flavio Dobran |
| title_full_unstemmed | Theory of structured multiphase mixtures Flavio Dobran |
| title_short | Theory of structured multiphase mixtures |
| title_sort | theory of structured multiphase mixtures |
| topic | Struktur (DE-588)4058125-1 gnd Gemisch (DE-588)4132151-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Strukturierung (DE-588)4200339-8 gnd Mehrphasensystem (DE-588)4125888-5 gnd |
| topic_facet | Struktur Gemisch Mathematisches Modell Strukturierung Mehrphasensystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019120590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT dobranflavio theoryofstructuredmultiphasemixtures |