Vapor liquid interfaces, bubbles and droplets: fundamentals and applications
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Springer
2011
|
| Series: | Heat and mass transfer
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XIII, 227 S. graph. Darst. |
| ISBN: | 9783642180378 364218037X 9783642180385 |
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Record in the Search Index
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IMAGE 1
CONTENTS
SIGNIFICANCE OF MOLECULAR AND FLUID-DYNAMIC APPROACHES TO INTERFACE
PHENOMENA 1
1.1 VAPOR-LIQUID INTERFACE AND KINETIC BOUNDARY CONDITION (KBC) . . 1
1.2 WHY ARE MEASUREMENTS OF A E AND A C SO DIFFICULT? 6
1.2.1 UNSTEADY NONEQUILIBRIUM CONDENSATION INDUCED BY SHOCK WAVE
REFLECTION 6
1.2.2 TEMPORAL TRANSITION PHENOMENON OF INTERFACE DISPLACEMENT 10
1.2.3 MECHANISM OF TEMPORAL TRANSITION PHENOMENON 11 1.3 REALIZATION OF
NONEQUILIBRIUM STATES 13
1.3.1 ANOTHER PREREQUISITION AND SHOCK WAVE 13
1.3.2 PREVIOUS STUDIES OF CONDENSATION BY SHOCK WAVE 14 1.4 CONSTITUTION
OF THIS BOOK 15
REFERENCES 16
KINETIC BOUNDARY CONDITION AT THE INTERFACE 19
2.1 MICROSCOPIC DESCRIPTION OF MOLECULAR SYSTEMS 19
2.1.1 EQUATION OF MOTION 21
2.1.2 LIOUVILLE EQUATION 23
2.1.3 DEFINITIONS OF MACROSCOPIC VARIABLES AND EQUATIONS IN FLUID
DYNAMICS 24
2.2 MOLECULAR DYNAMICS SIMULATION 31
2.2.1 LENNARD-JONES POTENTIAL AND NORMALIZATION OF VARIABLES 31 2.2.2
FINITE DIFFERENCE METHOD 33
2.2.3 EXAMPLE: VAPOR-LIQUID EQUILIBRIUM STATE 35
2.3 KINETIC THEORY OF GASES 38
2.3.1 BOLTZMANN EQUATION 39
2.3.2 BOUNDARY CONDITION FOR THE BOLTZMANN EQUATION 43 2.4 KINETIC
BOUNDARY CONDITION 45
2.4.1 EVAPORATION INTO VACUUM 46
2.4.2 EVAPORATION COEFFICIENT 49
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1008555983
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
2.4.3 CONDENSATION COEFFICIENT AND KBC IN WEAK CONDENSATION STATES 52
2.5 ASYMPTOTIC ANALYSIS OF WEAK CONDENSATION STATE OF METHANOL . . . 54
2.5.1 PROBLEM AND FORMULATION 55
2.5.2 ASYMPTOTIC ANALYSIS FOR SMALL KNUDSEN NUMBERS 58 2.5.3 BOUNDARY
CONDITION FOR THE EQUATIONS IN FLUID-DYNAMICS REGION 61
2.5.4 CONDENSATION COEFFICIENT AS A LINEAR FUNCTION OF MASS FLUX 64 2.6
CRITICISM ON HERTZ-KNUDSEN-LANGMUIR AND SCHRAEGE FORMULAS 66 REFERENCES
67
3 METHODS FOR THE MEASUREMENT OF EVAPORATION AND CONDENSATION
COEFFICIENTS 71
3.1 REVIEW OF A E , A C , KBC, AND GAUSSIAN-BGK BOLTZMANN EQUATION . 71
3.1.1 DEFINITIONS OF A E ANDA C 71
3.1.2 EXTENSION OF MONATOMIC VERSION OF KBC TO POLYATOMIC ONE 72
3.1.3 KBC EXPRESSED BY NET MASS FLUX MEASURED AT THE INTERFACE 76
3.1.4 GAUSSIAN-BGK BOLTZMANN EQUATION IN MOVING COORDINATE SYSTEM 77
3.2 SHOCK TUBE METHOD FOR MEASUREMENT OF CONDENSATION COEFFICIENT . 78
3.2.1 PRINCIPLE OF SHOCK TUBE METHOD 78
3.2.2 CHARACTERISTICS OF FILM CONDENSATION AT ENDWALL BEHIND REFLECTED
SHOCK WAVE 80
3.2.3 MATHEMATICAL MODELING OF FILM CONDENSATION ON SHOCK TUBE ENDWALL
82
3.2.4 BOUNDARY CONDITION AT INFINITY IN VAPOR 84
3.2.5 HEAT CONDUCTION IN LIQUID FILM AND SHOCK TUBE ENDWALL . 84 3.2.6
INITIAL CONDITIONS 85
3.3 SHOCK TUBE 86
3.3.1 SCHEMATIC AND PERFORMANCE OF SHOCK TUBE 86
3.3.2 EFFECT OF NONCONDENSABLE GASES ON LIQUID FILM GROWTH . . 87 3.3.3
EFFECT OF ASSOCIATION OF MOLECULES ON VAPOR STATE 88 3.4 OPTICAL
INTERFEROMETER 89
3.4.1 THEORY OF OPTICAL INTERFEROMETER 89
3.4.2 METHOD OF OPTICAL DATA ANALYSIS 92
3.5 PROPERTIES OF ADSORBED LIQUID FILM ON OPTICAL GLASS SURFACE 93 3.5.1
TREATMENT OF OPTICAL GLASS 93
3.5.2 THICKNESS OF TEMPORARILY ADSORBED LIQUID FILM 94 3.5.3 REFRACTIVE
INDEX OF INITIALLY ADSORBED LIQUID FILM 95 3.6 DEDUCTION OF CONDENSATION
COEFFICIENT 96
3.6.1 TYPICAL OUTPUT EXAMPLES OF ENERGY REFLECTANCE 96 3.6.2 TIME
CHANGES OF LIQUID FILM THICKNESS 98
IMAGE 3
CONTENTS XI
3.6.3 PROPAGATION PROCESS OF SHOCK WAVES 100
3.6.4 TIME CHANGES OF MACROSCOPIC QUANTITIES AND CONDENSATION
COEFFICIENT 101
3.6.5 VALUES OF A E AND CT C FOR WATER AND METHANOL 103
3.7 SOUND RESONANCE METHOD FOR MEASUREMENT OF EVAPORATION COEFFICIENT
106
REFERENCES 108
4 VAPOR PRESSURE, SURFACE TENSION, AND EVAPORATION COEFFICIENT FOR
NANODROPLETS I LL
4.1 SIGNIFICANCE OF MOLECULAR DYNAMICS ANALYSIS FOR NANODROPLETS . . .
I LL 4.2 METHOD OF MD SIMULATIONS 113
4.3 COMPUTATIONAL METHOD OF PRESSURES 115
4.4 EQUILIBRIUM STATES OF NANODROPLETS AND PLANAR LIQUID FILMS 116 4.4.1
GENERAL EXPLANATION 116
4.4.2 DENSITY DISTRIBUTIONS 116
4.4.3 PRESSURE DISTRIBUTIONS 120
4.4.4 DIFFERENTIABILITY OF NORMAL PRESSURE WITH RESPECT TO RADIAL
COORDINATE 123
4.4.5 LAPLACE EQUATION AND SURFACE TENSION 124
4.4.6 KELVIN EQUATION 126
4.4.7 TOLMAN EQUATION 129
4.5 MASS TRANSPORT ACROSS NANODROPLET SURFACE 130
4.5.1 PROBLEM STATEMENT 130
4.5.2 EVAPORATION AND CONDENSATION COEFFICIENTS, AND MASS TRANSFER RATE
131
4.5.3 VACUUM EVAPORATION SIMULATIONS 132
4.5.4 MASS FLUXES AND EVAPORATION COEFFICIENT 133
REFERENCES 140
5 DYNAMICS OF SPHERICAL VAPOR BUBBLE 143
5.1 FLUID-DYNAMIC DEFINITION OF INTERFACE 143
5.2 KINEMATICS OF INTERFACE 145
5.2.1 INTERFACE VELOCITY 145
5.2.2 INTERFACE CURVATURE 145
5.2.3 TIME VARIATION OF AREA OF SURFACE ELEMENT 147
5.2.4 SURFACE DIVERGENCE 150
5.2.5 EQUILIBRIUM THERMODYNAMICS OF THE INTERFACE 152 5.3 GENERAL
CONSERVATION EQUATION AT INTERFACE 153
5.3.1 CONSERVATION EQUATIONS IN BULK FLUIDS 153
5.3.2 CONSERVATION EQUATION IN FRAME MOVING WITH INTERFACE 154 5.3.3
INTEGRATION FORM OF CONSERVATION EQUATION 155
5.3.4 FLUX BALANCE ON INTERFACE 156
5.3.5 CONSERVATION OF MASS ON INTERFACE 157
IMAGE 4
XII CONTENTS
5.3.6 CONSERVATION OF MOMENTUM ON INTERFACE 159
5.3.7 CONSERVATION OF ENERGY ON INTERFACE 161
5.4 SPHERICAL VAPOR BUBBLE 162
5.4.1 GOVERNING EQUATIONS FOR SPHERICAL BUBBLE 163
5.4.2 SIMPLIFICATION 165
5.4.3 BOUNDARY CONDITIONS 168
5.5 PRACTICAL DESCRIPTION OF BUBBLE MOTION 171
5.5.1 FLOW FIELDS IN LIQUID 172
5.5.2 UNIFORM PRESSURE IN BUBBLE INTERIOR 172
5.5.3 TEMPERATURE, PRESSURE, AND VELOCITY FIELDS 174
5.5.4 BOUNDARY CONDITIONS OF TEMPERATURE FIELD 175
5.6 TEMPERATURE FIELD OF BUBBLE EXTERIOR 176
5.6.1 LAGRANGIAN FORMULATION 176
5.6.2 TRANSFORMATION OF VARIABLES 177
5.6.3 LAPLACE TRANSFORM OF HEAT EQUATION 179
5.6.4 INVERSE LAPLACE TRANSFORM OF HEAT EQUATION 181
5.6.5 LIQUID TEMPERATURE AT BUBBLE WALL 186
5.6.6 GRADIENT OF LIQUID TEMPERATURE AT BUBBLE WALL 188 5.7 TEMPERATURE
FIELD OF BUBBLE INTERIOR 189
5.7.1 ADIABATIC SOLUTION 190
5.7.2 LAGRANGIAN FORMULATION 191
5.7.3 BOUNDARY LAYER SOLUTION 191
5.7.4 SOLUTION OF HEAT EQUATION 193
5.7.5 PRESSURE AND VELOCITY 196
5.8 STRUCTURE OF MATHEMATICAL MODEL 197
5.9 BUBBLE EXPANSION WITH UNIFORM INTERIOR 199
5.9.1 ASSUMPTIONS 199
5.9.2 GOVERNING EQUATIONS AND CONDITIONS 200
5.9.3 HEAT EQUATION FOR LIQUID 202
5.9.4 SOLUTION OF HEAT EQUATION 203
5.9.5 ASYMPTOTIC GROWTH OF VAPOR BUBBLE 206
5.9.6 BUBBLE MOTION COUPLED WITH HEAT CONDUCTION 208 REFERENCES 209
APPENDIX A VECTORS, TENSORS, AND THEIR NOTATIONS 211
A.I SCALAR, VECTOR, AND TENSOR 211
A.2 EINSTEIN SUMMATION CONVENTION 212
APPENDIX B EQUATIONS IN FLUID DYNAMICS 215
B.I CONSERVATION EQUATIONS 215
B.2 CONSERVATION EQUATIONS IN COMPONENT FORMS 218
IMAGE 5
CONTENTS XIII
APPENDIX C SUPPLEMENTS TO CHAPTER 5 219
C.I GENERALIZED STOKES THEOREM 219
C.2 CHARACTERISTIC TIME OF HEAT CONDUCTION 221
C.3 ABEL'S INTEGRAL EQUATION 223
INDEX 225 |
| any_adam_object | 1 |
| author | Fujikawa, Shigeo Yano, Takeru Watanabe, Masao |
| author_facet | Fujikawa, Shigeo Yano, Takeru Watanabe, Masao |
| author_role | aut aut aut |
| author_sort | Fujikawa, Shigeo |
| author_variant | s f sf t y ty m w mw |
| building | Verbundindex |
| bvnumber | BV037484131 |
| classification_rvk | UR 4400 |
| ctrlnum | (OCoLC)734084979 (DE-599)DNB1008555983 |
| dewey-full | 530.427 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.427 |
| dewey-search | 530.427 |
| dewey-sort | 3530.427 |
| dewey-tens | 530 - Physics |
| discipline | Maschinenbau / Maschinenwesen Physik |
| format | Book |
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| id | DE-604.BV037484131 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T11:11:31Z |
| institution | BVB |
| isbn | 9783642180378 364218037X 9783642180385 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022635636 |
| oclc_num | 734084979 |
| open_access_boolean | |
| owner | DE-703 DE-92 |
| owner_facet | DE-703 DE-92 |
| physical | XIII, 227 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series2 | Heat and mass transfer |
| spelling | Fujikawa, Shigeo Verfasser aut Vapor liquid interfaces, bubbles and droplets fundamentals and applications Shigeo Fujikawa ; Takeru Yano ; Masao Watanabe Heidelberg [u.a.] Springer 2011 XIII, 227 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Heat and mass transfer Phasengleichgewicht (DE-588)4132145-5 gnd rswk-swf Kondensation (DE-588)4139721-6 gnd rswk-swf Dampf-Flüssigkeit-Gemisch (DE-588)4264519-0 gnd rswk-swf Molekulardynamik (DE-588)4170370-4 gnd rswk-swf Verdampfung (DE-588)4187611-8 gnd rswk-swf Grenzflächenphysik (DE-588)4452968-5 gnd rswk-swf Mehrphasenströmung (DE-588)4169315-2 gnd rswk-swf Dampf-Flüssigkeit-Gemisch (DE-588)4264519-0 s Mehrphasenströmung (DE-588)4169315-2 s Grenzflächenphysik (DE-588)4452968-5 s Verdampfung (DE-588)4187611-8 s Kondensation (DE-588)4139721-6 s Phasengleichgewicht (DE-588)4132145-5 s Molekulardynamik (DE-588)4170370-4 s DE-604 Yano, Takeru Verfasser aut Watanabe, Masao Verfasser aut Erscheint auch als Online-Ausgabe Vapor-Liquid Interfaces, Bubbles and Droplets X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3616412&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=022635636&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fujikawa, Shigeo Yano, Takeru Watanabe, Masao Vapor liquid interfaces, bubbles and droplets fundamentals and applications Phasengleichgewicht (DE-588)4132145-5 gnd Kondensation (DE-588)4139721-6 gnd Dampf-Flüssigkeit-Gemisch (DE-588)4264519-0 gnd Molekulardynamik (DE-588)4170370-4 gnd Verdampfung (DE-588)4187611-8 gnd Grenzflächenphysik (DE-588)4452968-5 gnd Mehrphasenströmung (DE-588)4169315-2 gnd |
| subject_GND | (DE-588)4132145-5 (DE-588)4139721-6 (DE-588)4264519-0 (DE-588)4170370-4 (DE-588)4187611-8 (DE-588)4452968-5 (DE-588)4169315-2 |
| title | Vapor liquid interfaces, bubbles and droplets fundamentals and applications |
| title_auth | Vapor liquid interfaces, bubbles and droplets fundamentals and applications |
| title_exact_search | Vapor liquid interfaces, bubbles and droplets fundamentals and applications |
| title_full | Vapor liquid interfaces, bubbles and droplets fundamentals and applications Shigeo Fujikawa ; Takeru Yano ; Masao Watanabe |
| title_fullStr | Vapor liquid interfaces, bubbles and droplets fundamentals and applications Shigeo Fujikawa ; Takeru Yano ; Masao Watanabe |
| title_full_unstemmed | Vapor liquid interfaces, bubbles and droplets fundamentals and applications Shigeo Fujikawa ; Takeru Yano ; Masao Watanabe |
| title_short | Vapor liquid interfaces, bubbles and droplets |
| title_sort | vapor liquid interfaces bubbles and droplets fundamentals and applications |
| title_sub | fundamentals and applications |
| topic | Phasengleichgewicht (DE-588)4132145-5 gnd Kondensation (DE-588)4139721-6 gnd Dampf-Flüssigkeit-Gemisch (DE-588)4264519-0 gnd Molekulardynamik (DE-588)4170370-4 gnd Verdampfung (DE-588)4187611-8 gnd Grenzflächenphysik (DE-588)4452968-5 gnd Mehrphasenströmung (DE-588)4169315-2 gnd |
| topic_facet | Phasengleichgewicht Kondensation Dampf-Flüssigkeit-Gemisch Molekulardynamik Verdampfung Grenzflächenphysik Mehrphasenströmung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3616412&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=022635636&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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