Continuum methods of physical modeling: continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa
Springer
2004
|
| Schriftenreihe: | Physics and astronomy online library
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 603 - 614 |
| Beschreibung: | XV, 635 S. graph. Darst. : 24 cm |
| ISBN: | 3540206191 |
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| 245 | 1 | 0 | |a Continuum methods of physical modeling |b continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions |c Kolumban Hutter ; Klaus Jöhnk |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa |b Springer |c 2004 | |
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Datensatz im Suchindex
| _version_ | 1820685793714241536 |
|---|---|
| adam_text |
KOLUMBAN HUTTER KLAUS JOHNK CONTINUUM METHODS OF PHYSICAL MODELING
CONTINUUM MECHANICS, DIMENSIONAL ANALYSIS, TURBULENCE WITH 61 FIGURES,
14 TABLES, , 113 EXERCISES AND SOLUTIONS SPRINGER CONTENTS INTRODUCTION
PART I. CONTINUUM MECHANICS 1. BASIC KINEMATICS 9 1.1 NOTATION 9 1.2
BASIC CONCEPTS, MOTION 17 1.3 DEFORMATION GRADIENT 23 1.3.1 DEFINITION
OF THE DEFORMATION GRADIENT 23 1.3.2 TRANSFORMATION OF SURFACE AND
VOLUME ELEMENTS 24 1.4 VELOCITY, ACCELERATION AND VELOCITY GRADIENT 25
1.5 DEFORMATION 27 1.5.1 POLAR DECOMPOSITION OF THE DEFORMATION GRADIENT
. 27 1.5.2 STRAIN MEASURES 30 1.5.3 EIGENVALUES, INVARIANTS AND
CAYLEY-HAMILTON THEOREM OF TENSORS OF THE SECOND RANK ,. 31 1.5.4
GEOMETRIC LINEARIZATION ,-A 32 1.6 EXERCISES ; 34 1.7 SOLUTIONS 36 2.
BALANCE EQUATIONS 51 2.1 GENERAL BALANCE STATEMENTS 51 2.1.1 INTEGRAL
FORM OF THE BALANCE STATEMENTS 51 2.1.2 CAUCHY LEMMA .*: 55 2.1.3
SYNOPSIS OF GENERAL BALANCE STATEMENTS 58 2.2 LOCAL BALANCE EQUATION 59
2.2.1 REYNOLDS TRANSPORT THEOREM 59 2.2.2 LOCAL BALANCE EQUATIONS IN THE
LAGRANGE REPRESENTATION 61 2.2.3 LOCAL BALANCE EQUATIONS IN THE EULER
REPRESENTATION 62 2.3 SPECIAL BALANCE EQUATIONS 63 2.3.1 MASS BALANCE 64
X CONTENTS 2.3.2 MOMENTUM BALANCE 65 2.3.3 ANGULAR MOMENTUM BALANCE 69
2.3.4 ENERGY BALANCE 72 2.3.5 ENTROPY BALANCE 75 2.3.6 SECOND LAW OF
THERMODYNAMICS 76 2.4 EXERCISES 77 2.5 SOLUTIONS 81 3. JUMP CONDITIONS
93 3.1 GENERAL FORMULATION OF JUMP CONDITIONS 94 3.1.1 JUMP THROUGH A
SURFACE 94 3.1.2 MODIFIED TRANSPORT THEOREM 98 3.1.3 GENERAL BALANCE
EQUATIONS AND JUMP CONDITIONS 101 3.2 SPECIAL JUMP CONDITIONS 103 3.3
BALANCE STATEMENTS AND JUMP CONDITIONS 106 3.4 EXERCISES 110 3.5
SOLUTIONS 110 4. MOVING REFERENCE SYSTEMS 115 4.1 TRANSFORMATION OF
POSITION VECTORS 115 4.2 VELOCITY AND ACCELERATION 118 4.3
TRANSFORMATION PROPERTIES OF BALANCE EQUATIONS 121 4.3.1 INVARIANCE AND
INDIFFERENCE OF EQUATIONS 121 4.3.2 IMPORTANT .TRANSFORMATION PROPERTIES
123 4.3.3 INVARIANCE OF BALANCE EQUATIONS 125 4.3.4 INVARIANCE OF JUMP
CONDITIONS 126 4.4 EXERCISES 128 4.5 SOLUTIONS , 131 5. MATERIAL
EQUATIONS ;.*. 139 5.1 FORMULATION OF THE GENERAL MATERIAL EQUATIONS 140
5.1.1 THERMODYNAMIC PROCESSES 140 5.1.2 NON-LOCAL MATERIAL EQUATIONS
WITH MEMORY 142 5.1.3 SIMPLE BODY AND FINITE MEMORY 142 5.1.4 EXAMPLES
OF SIMPLE MATERIAL EQUATIONS 145 5.2 MATERIAL OBJECTIVITY F 148 5.2.1
TRANSFORMATIONS OF THE REFERENCE SYSTEM 148 5.2.2 TRANSFORMATION OF
PHYSICAL QUANTITIES 148 5.2.3 INDIFFERENCE OF THE MATERIAL EQUATIONS 152
5.2.4 OBSERVER-INVARIANT MATERIAL EQUATIONS 153 5.3 MATERIAL SYMMETRY .
T 155 5.3.1 CHANGE OF THE REFERENCE CONFIGURATION 155 5.3.2 SYMMETRY
CONDITION 158 5.3.3 GROUP OF UNIMODULAR TRANSFORMATIONS 160 5.3.4
CLASSIFICATION OF THE SYMMETRY PROPERTIES 160 CONTENTS XI 5.4 MATERIAL
EQUATIONS FOR ISOTROPIC BODIES 162 5.4.1 ISOTROPIC FUNCTIONS FOR A
SYMMETRIC TENSOR, A VECTOR AND A SCALAR 163 5.4.2 SYMMETRIC TENSOR AS AN
ISOTROPIC FUNCTION OF TWO SYMMETRIC TENSORS 166 5.4.3 ELASTIC OR
BAROTROPIC FLUIDS 168 5.4.4 VISCOUS FLUIDS 168 5.4.5 ISOTROPIC ELASTIC
SOLID 170 5.4.6 ISOTROPIC VISCOELASTIC SOLID 173 5.5 ANISOTROPIC SOLIDS
175 5.5.1 LINEAR STRESS STRAIN RELATION, LINEAR HEAT CONDUCTION 176
5.5.2 SYMMETRY PROPERTIES OF THE COEFFICIENTS 177 5.5.3 SYMMETRY
TRANSFORMATIONS FOR ANISOTROPIC BODIES. 181 5.5.4 STOKES ASSUMPTION
187 5.6 INTERNAL CONSTRAINT CONDITIONS 191 5.6.1 DENSITY PRESERVING AS A
CONSTRAINT CONDITION 193 5.6.2 OTHER CONSTRAINT CONDITIONS 194 5.7
ENTROPY PRINCIPLE 195 5.7.1 VISCOUS HEAT CONDUCTING COMPRESSIBLE FLUID
195 5.7.2 VISCOUS, HEAT CONDUCTING AND DENSITY PRESERVING FLUIDS 202
5.7.3 PRESSURE AND EXTRA STRESS AS INDEPENDENT VARIABLES. 204 5.8
ENTROPY PRINCIPLE OF MULLER 207 5.8.1 HEAT CONDUCTING COMPRESSIBLE FLUID
208 5.8.2 HEAT CONDUCTING DENSITY PRESERVING FLUID 215 5.9 EXERCISES 220
5.10 SOLUTIONS 223 6. PHASE TRANSITION IN VISCOUS HEAT ./' CONDUCTING
COMPRESSIBLE FLUIDS . ./\. 243 6.1 JUMP CONDITIONS ON A PHASE CHANGE
SURFACE 243 6.2 PHASE RELATIONS IN THERMODYNAMIC EQUILIBRIUM 247 6.2.1
CHEMICAL POTENTIAL AND LATENT HEAT '. . . 247 6.2.2 CLAUSIUS-CLAPEYRON
EQUATION 248 6.3 PHASE CHANGE SURFACES IN NON-EQUILIBRIUM 249 6.4
DENSITY PRESERVING FLUIDS & 250 6.5 EXERCISES V .' 250 6.6 SOLUTIONS '.'
251 7. THEORY OF MIXTURES , 253 7.1 GENERAL INTRODUCTION 253 7.2 BALANCE
LAWS FOR THE CONSTITUENTS 256 7.3 BALANCE LAWS FOR THE MIXTURE AS A
WHOLE 263 7.4 SUMMARY 269 XII CONTENTS 7.5 DIFFUSION OF TRACERS IN A
FLUID 272 7.5.1 BASIC ASSUMPTIONS 272 7.5.2 MATERIAL THEORY FOR
DIFFUSION PROCESSES 273 7.6 SATURATED MIXTURE OF NON-POLAR SOLID AND
FLUID CONSTITUENTS 285 7.6.1 MOTIVATION 285 7.6.2 CHOICE OF THE MATERIAL
CLASS AND MATERIAL THEORY . 289 7.6.3 SOME PROPERTIES OF DIFFERENTIAL
(PFAFFIAN) FORMS . 297 7.6.4 THE DIFFERENTIAL OF THE ENTROPY 299
7.6.5 THERMODYNAMIC EQUILIBRIUM 306 7.6.6 EXTENSION TO NON-EQUILIBRIUM
STATES 311 7.7 EXERCISES 314 7.8 SOLUTIONS 315 PART II. DIMENSIONAL
ANALYSIS 8. THEORETICAL FOUNDATION OF DIMENSIONAL ANALYSIS 339 8.1
NOTATION 340 8.2 SYSTEMS OF PHYSICAL UNITS AND DIMENSIONS 342 8.3 THEORY
OF DIMENSIONAL EQUATIONS 345 8.3.1 DIMENSIONAL HOMOGENEITY 345 8.3.2
THEOREM OF BUCKINGHAM 348 8.3.3 SYSTEMATIC COMPUTATION OF DIMENSIONLESS
PRODUCTS . 351 8.4 ALGEBRAIC THEORY^OF DIMENSIONAL ANALYSIS 358 8.4.1
TRANSFORMATION OF BASIC UNITS 358 8.4.2 EXACT DEFINITION OF DIMENSIONAL
HOMOGENEITY 360 8.4.3 CALCULUS OF DIMENSIONLESS PRODUCTS 363 8.5
BUCKINGHAM'S THEOREM - 368 8.5.1 PROOF OF BUCKINGHAM'S THEOREM 368 8.5.2
APPLICATIONS OF THE THEORY.AND J7-THEOREM 371 8.6 EXERCISES \ 386 8.7
SOLUTIONS 388 9. SIMILITUDE AND MODEL EXPERIMENTS 393 9.1 MOTIVATION 393
9.2 THEORY OF PHYSICAL MODELS * T 395 9.3 APPLICATIONS *.' 401 9.4 MODEL
THEORY AND DIFFERENTIAL EQUATIONS 404 9.5 EXERCISES '. 414 9.6 SOLUTIONS
414 CONTENTS XIII PART III. TURBULENCE 10. FUNDAMENTAL CONCEPTS OF
TURBULENCE 423 10.1 NOTATION 425 10.2 EARLY CONCEPTS OF TURBULENCE
THEORY 430 10.2.1 EXPERIMENTS OF REYNOLDS 430 10.2.2 TEMPORAL AVERAGING
431 10.2.3 EDDY SPECTRUM AND KOLMOGOROV SCALES 433 10.3 FILTERS 437
10.3.1 DEFINITION OF FILTERS 437 10.3.2 PROPERTIES OF FILTERS 438 10.3.3
COMPUTATION RULES 440 10.4 CORRELATIONS 441 10.4.1 CORRELATIONS FOR
HOMOGENEOUS ISOTROPIC TURBULENCE . 441 10.4.2 EULERIAN LENGTH AND TIME
SCALES 444 10.5 EQUATIONS OF MOTION 447 10.5.1 MATERIAL EQUATIONS 447
10.5.2 BALANCES OF MASS AND MOMENTUM 448 10.5.3 ENERGY BALANCE 448
10.5.4 MIXTURES 449 10.5.5 SUMMARY OF FIELD EQUATIONS 450 10.6 GENERAL
CONCEPT OF TURBULENCE MODELING 452 10.7 REYNOLDS STRESSES 453 10.7.1
EQUATIONS FOR THE AVERAGED FIELDS 453 10.7.2 TRANSFORMATION PROPERTIES
OF TURBULENT FIELD QUANTITIES 457 10.7.3 REYNOLDS HYPOTHESIS 459 10.7.4
EDDY VISCOSITY AND DIFFUSIVITY 461 10.8 GENERAL DEFINITION OF
TURBULENEE"MODELS 463 10.8.1 TURBULENCE MODELS OF VARIOUS ORDERS 463
10.8.2 PRANDTL'S MIXING LENGTH 465 10.8.3 TURBULENCE MODEL OF FIRST
ORDER '. 468 10.9 EXERCISES 469 10.10 SOLUTIONS 470 11. K-E MODE L FOR
DENSITY PRESERVING AND BOUSSINESQ FLUIDS . 483 11.1 MODEL EQUATIONS .'
484 11.1.1 DEFINITIONS AND BALANCE LAWS 484 11.2 K-E MODEL 487 11.2.1
TURBULENT KINETIC ENERGY 487 11.2.2 VORTICITY ANCL ENSTROPHY 489 11.2.3
TURBULENT DISSIPATION 491 11.3 SUMMARY OF THE UNDERLYING ASSUMPTIONS 497
11.4 DETERMINATION OF THE COEFFICIENTS OF THE K-E MODEL 500 XIV CONTENTS
11.5 COMPRESSIBLE FLUIDS 500 11.6 K-E EQUATIONS FOR A BOUSSINESQ FLUID
503 11.6.1 HEAT TRANSPORT EQUATION 503 11.6.2 THERMAL EQUATION OF STATE
504 11.6.3 CHANGES IN THE TURBULENCE EQUATIONS 506 11.7 SUMMARY OF THE
K-E MODEL FOR TURBULENCE OF A BOUSSINESQ FLUID 510 11.8 EXERCISES 514
11.9 SOLUTIONS 515 12. ALGEBRAIC REYNOLDS STRESS MODELS 523 12.1
BACKGROUND 523 12.2 BASIC EQUATIONS 526 12.3 ENTROPY PRINCIPLE FOR
TURBULENT PROCESSES 529 12.4 CLOSURE CONDITIONS IN EXPLICIT FORM 534
12.5 THERMODYNAMIC COMPATIBILITY 550 12.6 CRITICAL EVALUATION OF
EXISTING MODELS 555 12.6.1 THE ALGEBRAIC REYNOLDS STRESS MODEL OF AHMADI
ET AL 555 12.6.2 THERMODYNAMIC CONSISTENCY AND OTHER EXISTING FIRST
ORDER CLOSURE MODELS 556 12.7 SUMMARY OF GOVERNING EQUATIONS 559 12.8
EXERCISES 561 12.9 SOLUTIONS .J 561 13. APPLICATION OF K-E MODEL 563
13.1 INTRODUCTION 563 13.1.1 MOTIVATION , 563 13.1.2 WATER CIRCULATION
IN A LAKE-F 566 13.1.3 GENERAL PROCESSES ARISING IN LAKES 570 13.2
PHYSICAL PROCESSES * 572 13.2.1 SOLAR IRRADIATION 572 13.2.2 SHORT WAVE
RADIATIVE INPUT INTO THE WATER 578 13.2.3 LONG WAVE RADIATION 580 13.2.4
LATENT AND SENSIBLE HEAT FLUX 582 13.2.5 WIND SHEAR * 584 13.3 MATERIAL
BEHAVIOUR OF WATER 586 13.3.1 DENSITY 586 13.3.2 MOLECULAR VISCOSITY 590
13.3.3 SPECIFIC HEAT AND THERMAL DIFFUSIVITY 591 13.4 ONE-DIMENSIONAL
TURBULENCE MODELS 592 13.4.1 GOVERNING EQUATIONS AND PARAMETERIZATION OF
THE PRESSURE GRADIENT 592 13.4.2 EXAMPLE COMPUTATION FOR THE
ONE-DIMENSIONAL MODEL 595 CONTENTS XV 13.5 CONCLUDING REMARKS 597 13.6
EXERCISES 598 13.7 SOLUTIONS 599 REFERENCES 603 NAME INDEX 615 INDEX 619 |
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| id | DE-604.BV017670688 |
| illustrated | Illustrated |
| indexdate | 2025-01-08T13:01:19Z |
| institution | BVB |
| isbn | 3540206191 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010626190 |
| oclc_num | 76554320 |
| open_access_boolean | |
| owner | DE-703 DE-706 DE-634 |
| owner_facet | DE-703 DE-706 DE-634 |
| physical | XV, 635 S. graph. Darst. : 24 cm |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series2 | Physics and astronomy online library |
| spelling | Hutter, Kolumban 1941-2024 Verfasser (DE-588)121218694 aut Continuum methods of physical modeling continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions Kolumban Hutter ; Klaus Jöhnk Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa Springer 2004 XV, 635 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Physics and astronomy online library Literaturverz. S. 603 - 614 Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Dimensionsanalyse (DE-588)4133116-3 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s DE-604 Dimensionsanalyse (DE-588)4133116-3 s Turbulente Strömung (DE-588)4117265-6 s Jöhnk, Klaus Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010626190&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hutter, Kolumban 1941-2024 Jöhnk, Klaus Continuum methods of physical modeling continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions Kontinuumsmechanik (DE-588)4032296-8 gnd Turbulente Strömung (DE-588)4117265-6 gnd Dimensionsanalyse (DE-588)4133116-3 gnd |
| subject_GND | (DE-588)4032296-8 (DE-588)4117265-6 (DE-588)4133116-3 |
| title | Continuum methods of physical modeling continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions |
| title_auth | Continuum methods of physical modeling continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions |
| title_exact_search | Continuum methods of physical modeling continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions |
| title_full | Continuum methods of physical modeling continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions Kolumban Hutter ; Klaus Jöhnk |
| title_fullStr | Continuum methods of physical modeling continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions Kolumban Hutter ; Klaus Jöhnk |
| title_full_unstemmed | Continuum methods of physical modeling continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions Kolumban Hutter ; Klaus Jöhnk |
| title_short | Continuum methods of physical modeling |
| title_sort | continuum methods of physical modeling continuum mechanics dimensional analysis turbulence with 14 tables 113 exercises and solutions |
| title_sub | continuum mechanics, dimensional analysis, turbulence ; with 14 tables, 113 exercises and solutions |
| topic | Kontinuumsmechanik (DE-588)4032296-8 gnd Turbulente Strömung (DE-588)4117265-6 gnd Dimensionsanalyse (DE-588)4133116-3 gnd |
| topic_facet | Kontinuumsmechanik Turbulente Strömung Dimensionsanalyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010626190&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hutterkolumban continuummethodsofphysicalmodelingcontinuummechanicsdimensionalanalysisturbulencewith14tables113exercisesandsolutions AT johnkklaus continuummethodsofphysicalmodelingcontinuummechanicsdimensionalanalysisturbulencewith14tables113exercisesandsolutions |