Non-equilibrium thermodynamics: entropy, heat and mass transfer
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2024]
|
| Edition: | 1. Auflage |
| Series: | De Gruyter Graduate
|
| Subjects: | |
| Online Access: | https://www.degruyter.com/isbn/9783110794045 Inhaltsverzeichnis |
| Physical Description: | XVI, 229 Seiten Diagramme 24 cm x 17 cm |
| ISBN: | 3110794047 9783110794045 |
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| 008 | 240814s2024 gw |||| |||| 00||| eng d | ||
| 015 | |a 23,N48 |2 dnb | ||
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| 020 | |a 3110794047 |9 3-11-079404-7 | ||
| 020 | |a 9783110794045 |c pbk: EUR 74.95 (DE) (freier Preis), EUR 74.95 (AT) (freier Preis) |9 978-3-11-079404-5 | ||
| 024 | 3 | |a 9783110794045 | |
| 035 | |a (OCoLC)1457096730 | ||
| 035 | |a (DE-599)DNB1310865809 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-29T |a DE-20 |a DE-634 |a DE-703 | ||
| 084 | |a UG 2000 |0 (DE-625)145616: |2 rvk | ||
| 084 | |8 1\p |a 530 |2 23sdnb | ||
| 100 | 1 | |a Bestehorn, Michael |d 1957- |e Verfasser |0 (DE-588)112842763 |4 aut | |
| 245 | 1 | 0 | |a Non-equilibrium thermodynamics |b entropy, heat and mass transfer |c Michael Bestehorn |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2024] | |
| 300 | |a XVI, 229 Seiten |b Diagramme |c 24 cm x 17 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a De Gruyter Graduate | |
| 650 | 0 | 7 | |a Nichtgleichgewichtsthermodynamik |0 (DE-588)4130850-5 |2 gnd |9 rswk-swf |
| 653 | |a Boltzmann equation | ||
| 653 | |a Boltzmann-Gleichung | ||
| 653 | |a Diffusion and transport problems | ||
| 653 | |a Fluid dynamics | ||
| 653 | |a Kinetic gas theory | ||
| 653 | |a Kinetische Gastheorie | ||
| 653 | |a Onsager relations and nonequilibrium thermodynamics | ||
| 653 | |a Onsager-Beziehungen und Nichtgleichgewichtsthermodynamik | ||
| 653 | |a Strömungsdynamik | ||
| 653 | |a TB: Textbook | ||
| 653 | |a Verbreitungs- und Transportprobleme | ||
| 689 | 0 | 0 | |a Nichtgleichgewichtsthermodynamik |0 (DE-588)4130850-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 710 | 2 | |a Walter de Gruyter GmbH & Co. KG |0 (DE-588)10095502-2 |4 pbl | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-079413-7 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-079419-9 |
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| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035161603&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-035161603 | |
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| _version_ | 1817696514566258688 |
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CONTENTS
PREFACE
-
VII
PART
I:
PHENOMENOLOGICAL
THERMODYNAMICS
1
EQUILIBRIUM
THERMODYNAMICS:
A
BRIEF
SUMMARY
-
5
1.1
STATE,
VARIABLES,
AND
THERMAL
EQUILIBRIUM
-
5
1.1.1
THERMODYNAMIC
SYSTEM
-
5
1.1.2
STATE
OF
A
SYSTEM
AND
STATE
VARIABLES
-
5
1.1.3
EQUATIONS
OF
STATE
-
6
1.1.4
PROCESSES
-
6
1.1.5
THERMAL
EQUILIBRIUM
-
7
1.2
ENERGY
AND
THE
FIRST
LAW
-
8
1.2.1
INTERNAL
ENERGY
-
8
1.2.2
HEAT
-
8
1.2.3
WORK
-
9
1.2.4
THE
FIRST
LAW
OF
THERMODYNAMICS
-
1
0
1.3
ENTROPY
AND
THE
SECOND
LAW
-
11
1.3.1
IRREVERSIBILITY
AND
THE
SECOND
LAW
WITH
WORDS
-
11
1.3.2
ENTROPY
-
12
1.3.3
REMARK:
INCOMPLETE
DIFFERENTIAL
AND
INTEGRATING
FACTOR
-
14
1.3.4
COMPUTATION
OF
THE
ENTROPY
BY
A
REVERSIBLE
EQUIVALENT
PROCESS
-
16
1.3.5
ENTROPY
INCREASE
OF
A
BODY
IN
SUDDEN
CONTACT
WITH
A
HEAT
BATH
-
18
1.3.6
CARNOT
PROCESS,
ENTROPY,
AND
EFFICIENCY
-
18
1.3.7
THE
SECOND
LAW
OF
THERMODYNAMICS
-
20
1.3.8
HEAT
THEOREM
OF
NERNST
AND
THE
THIRD
LAW
-
21
1.4
GIBBS
FUNDAMENTAL
EQUATION
-
21
1.4.1
THERMODYNAMIC
POTENTIALS
-
22
1.4.2
EQUATIONS
OF
STATE
FOR
A
PERFECT
GAS
-
23
1.4.3
INTEGRABILITY
-
23
1.5
MULTI-COMPONENT
SYSTEMS
-
25
1.5.1
OPEN
SYSTEM
WITH
RESPECT
TO
MOLE
NUMBER,
ONE
COMPONENT
-
26
1.5.2
FIRST
LAW
FOR
A
MIXTURE
OF
K
COMPONENTS
-
26
1.5.3
OTHER
THERMODYNAMIC
POTENTIALS
-
27
1.5.4
MIXTURE
OF
K
PERFECT
GASES
-
29
1.5.5
ENTROPY
AND
GIBBS
FREE
ENERGY
FOR
A
MIXTURE
OF
PERFECT
GASES
-
30
1.5.6
GIBBS
FUNDAMENTAL
EQUATION
-
32
1.5.7
EQUILIBRIUM
CONDITIONS
-
32
1.5.8
CHEMICAL
REACTIONS
-
33
1.6
PROBLEMS
-
35
XII
-
-
CONTENTS
1.6.1
1.6.2
1.6.3
1.6.4
1.6.5
1.6.6
1.6.7
1.6.8
1.6.9
INTERNAL
ENERGY
-
35
WORK
-
35
PROCESSES
-
35
WORK
AGAIN
-
35
ENTROPY
-
36
COMPLETE
DIFFERENTIALS
-
36
ENTROPY
AND
EQUATIONS
OF
STATE
-
36
ENTROPY
AND
IRREVERSIBILITY
-
37
LAW
OF
MASS
ACTION
-
37
2
2.1
2.1.1
2.1.2
2.1.3
2.1.4
2.1.5
2.2
2.2.1
2.2.2
2.3
2.3.1
2.3.2
2.3.3
2.3.4
2.4
2.4.1
2.4.2
2.4.3
2.4.4
2.4.5
2.4.6
2.5
OUT
OF
THERMAL
EQUILIBRIUM
-
39
THE
CONCEPT
OF
LOCAL
EQUILIBRIUM
-
39
SPACE
AND
TIME
DEPENDENT
VARIABLES
-
39
SIMPLE
NETWORKS
-
39
BALANCE
EQUATIONS
AND
CONSERVATION
LAWS
FOR
DENSITIES
-
42
BALANCE
EQUATIONS
AND
CONSERVATION
LAWS
FOR
SPECIFIC
QUANTITIES
-
47
SPECIFIC
BALANCE
EQUATIONS
-
48
ENTROPY
PRODUCTION
OF
A
ONE-COMPONENT
SYSTEM
-
48
IRREVERSIBILITY
AND
ENTROPY
PRODUCTION
-
48
ONE-COMPONENT
SYSTEM
-
49
ENTROPY
PRODUCTION
OF
A
MULTI-COMPONENT
SYSTEM
-
51
DEFINITIONS
-
51
GIBBS
FUNDAMENTAL
EQUATION
-
53
CHEMICAL
REACTIONS
-
54
ENTROPY
PRODUCTION
-
55
ONSAGER
RELATIONS
-
56
FLUXES
AND
FORCES
-
56
CURIE
'
S
PRINCIPLE
-
57
ONSAGER
COEFFICIENTS
-
57
ENTROPY
PRODUCTION
AND
SECOND
LAW
-
59
ONSAGER
COEFFICIENTS
FOR
A
MULTI-COMPONENT
SYSTEM
-
59
A
NOTE
ON
REACTION
VELOCITY
-
60
PROBLEM:
CHEMICAL
REACTIONS
-
64
3
3.1
3.1.1
3.1.2
3.1.3
3.1.4
3.1.5
3.2
TRANSPORT
EQUATIONS
-
66
ONE-COMPONENT
SYSTEM
-
66
MASS
CONSERVATION
-
66
MOMENTUM
CONSERVATION
-
66
ENERGY
CONSERVATION
-
67
APPLICATION:
ENTROPY
PRODUCTION
OF
A
SLAB
-
68
APPLICATION:
ENTROPY
PRODUCTION
OF
A
PIPE
FLOW
-
69
MULTI-COMPONENT
SYSTEM
-
72
CONTENTS
-
XIII
3.2.1
3.2.2
3.3
MASS
FLUXES
-
73
CONCENTRATION
AND
ENERGY
EQUATIONS
-
74
PROBLEM:
COUETTE
FLOW
-
75
4
4.1
4.1.1
4.1.2
4.1.3
4.2
4.2.1
4.2.2
4.2.3
4.2.4
4.3
4.3.1
4.3.2
4.3.3
4.3.4
4.3.5
4.3.6
4.4
DIFFUSION
-
77
HEAT
EQUATION
-
77
DIRICHLET
CONDITIONS
IN
ONE
DIMENSION
-
77
A
SIMPLE
NUMERICAL
METHOD
-
79
EXAMPLE:
TEMPERATURE
DISTRIBUTION
IN
A
ROOM
WITH
STOVE
AND
WINDOW
-
82
TOTAL
ENTROPY
PRODUCTION
RATE
-
84
LINEAR
DIFFUSION
EQUATION
OR
LINEAR
ONSAGER
COEFFICIENTS?
-
84
"
PRINCIPLE
"
OF
MINIMAL
ENTROPY
PRODUCTION
-
85
LYAPUNOV
FUNCTION
-
86
NUMERICAL
SOLUTIONS
-
87
MASS
DIFFUSION
AND
THERMAL
DIFFUSION
-
88
CONCENTRATION
-
88
TEMPERATURE
-
90
THE
SYSTEM
-
91
SOLUTION:
PLANE
WAVES
-
93
ISOTHERMAL
DIFFUSION
-
94
THERMODIFFUSION
AND
SORET
EFFECT
-
94
PROBLEM:
SUBTERRESTRIAL
TEMPERATURE
VARIATIONS
-
97
5
5.1
5.1.1
5.1.2
5.1.3
5.1.4
5.2
5.2.1
5.2.2
5.2.3
DIFFUSION
AND
REACTION
-
99
KNALLGAS
REACTION
-
99
RATE
EQUATIONS
-
100
REACTION-DIFFUSION
EQUATIONS
-
101
NUMERICAL
SOLUTION
-
102
HEAT
EQUATION
-
103
SELF-ORGANIZED
CHEMICAL
PATTERNS
-
104
THE
BRUSSELATOR
-
104
CHEMICAL
OSCILLATIONS
-
106
REACTION-DIFFUSION
EQUATIONS
AND
SPATIAL
PATTERN
FORMATION
-
108
6
6.1
6.1.1
6.1.2
6.1.3
6.1.4
6.1.5
6.1.6
DIFFUSION
AND
TRANSPORT
-
114
THE
DRIVEN
CAVITY
-
114
HYDRODYNAMIC
BASIC
EQUATIONS
-
-
114
PLANE
FLOWS:
STREAM
FUNCTION
AND
VORTICITY
-
115
BOUNDARY
CONDITIONS
-
115
DIMENSIONLESS
EQUATIONS
AND
REYNOLDS
NUMBER
-
117
RESULTS
-
118
ENTROPY
PRODUCTION
-
119
XIV
-
CONTENTS
6.2
CONVECTION
OF
A
PURE
GAS
-
121
6.2.1
BASIC
EQUATIONS
AND
BOUNDARY
CONDITIONS
-
121
6.2.2
NUMERICAL
RESULTS
-
123
6.2.3
ENTROPY
PRODUCTION
-
125
6.2.4
LINEAR
STABILITY
ANALYSIS
-
127
6.2.5
FROZEN
TIME
ANALYSIS
-
128
6.3
CONVECTION
OF
A
BINARY
MIXTURE
-
130
6.3.1
BASIC
EQUATIONS
AND
BOUNDARY
CONDITIONS
-
130
6.3.2
MOTIONLESS
NON-EQUILIBRIUM
STATE
-
131
6.3.3
DIMENSIONLESS
EQUATIONS
-
131
6.3.4
LINEAR
STABILITY
ANALYSIS
FOR
LARGE
PRANDTL
NUMBER
-
132
6.3.5
THE
FULLY
NONLINEAR
PROBLEM:
NUMERICAL
SOLUTIONS
-
135
6.4
PROBLEMS
-
137
6.4.1
INTERNAL
WAVES
IN
FLUIDS
-
137
6.4.2
CONVECTION
IN
A
POROUS
MEDIUM
-
140
PART
II:
KINETIC
GAS
THEORY
7
MANY
PARTICLES
AND
PROBABILITY
DISTRIBUTION
-
149
7.1
PHASE
SPACE
-
149
7.2
DISTRIBUTION
FUNCTION
-
151
7.2.1
PROBABILITY
DENSITY
-
151
7.2.2
PRESSURE
AND
EQUIPARTITION
THEOREM
-
152
7.2.3
MAXWELL-BOLTZMANN
DISTRIBUTION
-
154
7.2.4
LOCAL
EQUILIBRIUM
DISTRIBUTION
-
155
7.2.5
MULTI-COMPONENT
SYSTEMS
-
156
7.3
ENTROPY
-
158
7.3.1
MICROSTATES,
MACROSTATES,
AND
MULTIPLICITY
-
158
7.3.2
ENTROPY
AND
MULTIPLICITY
-
161
7.3.3
PARTITIONING
THE
PHASE
SPACE
-
161
7.3.4
STATISTICAL
ENTROPY
OF
A
PERFECT
GAS
-
165
7.4
ESTIMATION
OF
TRANSPORT
COEFFICIENTS
-
167
7.4.1
MEAN
FREE
PATH,
MEAN
FREE
TIME,
AND
MOBILITY
-
167
7.4.2
SELF
DIFFUSION
-
169
7.4.3
THERMAL
CONDUCTION
-
171
7.4.4
LEWIS
NUMBER
-
172
8
THE
BOLTZMANN
EQUATION
-
174
8.1
KINETIC
EQUATION
-
174
8.1.1
NON-INTERACTING
PARTICLES
-
174
8.1.2
COLLISIONS
-
175
CONTENTS
-
XV
8.1.3
KINETIC
EQUATION
-
176
8.2
BOLTZMANN
EQUATION
-
176
8.2.1
BOLTZMANN
COLLISION
INTEGRAL
-
176
8.2.2
BOLTZMANN
EQUATION
-
178
8.2.3
COLLISION
INTEGRAL
AND
CONSERVATION
LAWS
-
179
8.2.4
H-THEOREM
-
182
8.2.5
LOSCHMIDT
'
S
PARADOX
-
185
8.2.6
EQUILIBRIUM
DISTRIBUTION
-
186
8.2.7
EXAMPLE:
BAROMETRIC
FORMULA
-
187
8.2.8
MEAN
FREE
TIME
AGAIN
-
189
9
TRANSPORT
EQUATIONS
-
191
9.1
MAXWELL
'
S
EQUATION
OF
CHANGE
-
191
9.1.1
GENERAL
FORM
-
191
9.1.2
SUMMATION
INVARIANTS
-
192
9.2
SYMMETRIC
PDF,
EULER
EQUATIONS
-
194
9.2.1
LOCAL
EQUILIBRIUM
-
194
9.2.2
ISOTHERMAL
AND
INCOMPRESSIBLE
CONDITIONS
-
195
9.2.3
APPLICATION:
SOUND
WAVES
-
196
9.3
NON-EQUILIBRIUM
DISTRIBUTION
FUNCTION
-
197
9.3.1
STRESS
TENSOR
-
197
9.3.2
RELAXATION
TIME
APPROXIMATION
(BGK
APPROXIMATION)
-
198
9.3.3
HEAT
FLUX
-
200
9.3.4
RELAXATION
TIME
AND
MEAN
FREE
TIME
-
202
9.3.5
EXPERIMENTAL
VALUES
-
202
9.4
NUMERICAL
SOLUTIONS
OF
THE
BOLTZMANN
EQUATION
-
203
9.4.1
NON-DIMENSIONAL
BOLTZMANN
EQUATION
-
204
9.4.2
ALGORITHM
-
204
9.4.3
EXAMPLE:
TEMPERATURE
STEP
IN
AN
INCOMPRESSIBLE
GAS
-
206
9.4.4
EXAMPLE:
SOUND
WAVES
-
207
A
CONSTANTS,
MATERIAL
PROPERTIES,
AND
UNITS
-
211
A.1
CONSTANTS
-
211
A.2
MATERIAL
PROPERTIES
-
211
A.2.1
DRY
AIR,
30
C
-
211
A.2.2
WATER
-
211
A.2.3
SILICONE
OIL
5
CST
-
212
A.2.4
IDEAL
GAS,
MONATOMIC
-
212
A.3
OTHER
OR
OLDER
UNITS
-
212
XVI
-
CONTENTS
BIBLIOGRAPHY
-
225
B
GAUSSIAN
INTEGRALS
-
213
C
C.1
C.1.1
C.1
.2
C.2
C.2.1
C.3
C.3.1
C.3.2
C.4
C.4.1
C.4.2
C.4.3
C.4.4
C.4.5
C.5
C.5.1
C.5.2
THEOREMS
AND
RELATIONS
FROM
VECTOR
CALCULUS
-
215
DEFINITIONS
AND
PRODUCTS
-
215
DEFINITIONS
-
215
PRODUCTS
-
215
DIFFERENTIATION
AND
INTEGRATION
OF
VECTOR
FIELDS
-
216
RELATIONS
-
216
INTEGRAL
THEOREMS
-
218
VOLUME
AND
SURFACE
INTEGRALS
-
218
SURFACE
AND
LINE
INTEGRALS
-
218
OTHER
COORDINATE
SYSTEMS
-
219
RELATIONS
-
219
GRADIENT
-
220
DIVERGENCE
-
221
CURL
-
222
LAPLACIAN
-
222
HYDRODYNAMIC
BASIC
EQUATIONS
-
223
NAVIER-STOKES
EQUATIONS
-
223
INCOMPRESSIBILITY
CONDITION
-
224
INDEX
-
227 |
| any_adam_object | 1 |
| author | Bestehorn, Michael 1957- |
| author_GND | (DE-588)112842763 |
| author_facet | Bestehorn, Michael 1957- |
| author_role | aut |
| author_sort | Bestehorn, Michael 1957- |
| author_variant | m b mb |
| building | Verbundindex |
| bvnumber | BV049821417 |
| classification_rvk | UG 2000 |
| ctrlnum | (OCoLC)1457096730 (DE-599)DNB1310865809 |
| discipline | Physik |
| edition | 1. Auflage |
| format | Book |
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| id | DE-604.BV049821417 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-06T13:08:00Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 3110794047 9783110794045 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035161603 |
| oclc_num | 1457096730 |
| open_access_boolean | |
| owner | DE-29T DE-20 DE-634 DE-703 |
| owner_facet | DE-29T DE-20 DE-634 DE-703 |
| physical | XVI, 229 Seiten Diagramme 24 cm x 17 cm |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | De Gruyter Graduate |
| spelling | Bestehorn, Michael 1957- Verfasser (DE-588)112842763 aut Non-equilibrium thermodynamics entropy, heat and mass transfer Michael Bestehorn Berlin ; Boston De Gruyter [2024] XVI, 229 Seiten Diagramme 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter Graduate Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd rswk-swf Boltzmann equation Boltzmann-Gleichung Diffusion and transport problems Fluid dynamics Kinetic gas theory Kinetische Gastheorie Onsager relations and nonequilibrium thermodynamics Onsager-Beziehungen und Nichtgleichgewichtsthermodynamik Strömungsdynamik TB: Textbook Verbreitungs- und Transportprobleme Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 s DE-604 Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-079413-7 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-079419-9 X:MVB https://www.degruyter.com/isbn/9783110794045 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035161603&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20231123 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Bestehorn, Michael 1957- Non-equilibrium thermodynamics entropy, heat and mass transfer Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd |
| subject_GND | (DE-588)4130850-5 |
| title | Non-equilibrium thermodynamics entropy, heat and mass transfer |
| title_auth | Non-equilibrium thermodynamics entropy, heat and mass transfer |
| title_exact_search | Non-equilibrium thermodynamics entropy, heat and mass transfer |
| title_full | Non-equilibrium thermodynamics entropy, heat and mass transfer Michael Bestehorn |
| title_fullStr | Non-equilibrium thermodynamics entropy, heat and mass transfer Michael Bestehorn |
| title_full_unstemmed | Non-equilibrium thermodynamics entropy, heat and mass transfer Michael Bestehorn |
| title_short | Non-equilibrium thermodynamics |
| title_sort | non equilibrium thermodynamics entropy heat and mass transfer |
| title_sub | entropy, heat and mass transfer |
| topic | Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd |
| topic_facet | Nichtgleichgewichtsthermodynamik |
| url | https://www.degruyter.com/isbn/9783110794045 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035161603&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bestehornmichael nonequilibriumthermodynamicsentropyheatandmasstransfer AT walterdegruytergmbhcokg nonequilibriumthermodynamicsentropyheatandmasstransfer |