Gespeichert in:
| Titel: | Fluid and thermodynamics |
|---|---|
| Unterteilung: | Advanced fluid mechanics and thermodynamic fundamentals Volume 2 |
| Von: |
Kolumban Hutter, Yongqi Wang
|
| Person: |
Hutter, Kolumban
1941-2024 Verfasser aut Wang, Yongqi 1964- |
| Hauptverfassende: | , |
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
[Cham]
Springer
[2016]
|
| Schriftenreihe: | Advances in geophysical and environmental mechanics and mathematics
|
| Online-Zugang: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029151833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | xx, 633 Seiten Illustrationen, Diagramme |
| ISBN: | 9783319336350 |
Internformat
MARC
| LEADER | 00000nam a2200000 cc4500 | ||
|---|---|---|---|
| 001 | BV043740090 | ||
| 003 | DE-604 | ||
| 005 | 20161005 | ||
| 007 | t| | ||
| 008 | 160829s2016 xx a||| |||| 00||| eng d | ||
| 020 | |a 9783319336350 |c Print |9 978-3-319-33635-0 | ||
| 035 | |a (OCoLC)964317252 | ||
| 035 | |a (DE-599)BVBBV043740090 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 |a DE-634 | ||
| 100 | 1 | |a Hutter, Kolumban |d 1941-2024 |e Verfasser |0 (DE-588)121218694 |4 aut | |
| 245 | 1 | 0 | |a Fluid and thermodynamics |n Volume 2 |p Advanced fluid mechanics and thermodynamic fundamentals |c Kolumban Hutter, Yongqi Wang |
| 264 | 1 | |a [Cham] |b Springer |c [2016] | |
| 300 | |a xx, 633 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Advances in geophysical and environmental mechanics and mathematics | |
| 700 | 1 | |a Wang, Yongqi |d 1964- |e Verfasser |0 (DE-588)123686458 |4 aut | |
| 773 | 0 | 8 | |w (DE-604)BV043740080 |g 2 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-319-33636-7 |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029151833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-029151833 | |
Datensatz im Suchindex
| _version_ | 1820977690083065856 |
|---|---|
| adam_text |
Titel: Bd. 2. Fluid and thermodynamics. Advanced fluid mechanics and thermodynamic fundamentals
Autor: Hutter, Kolumban
Jahr: 2016
Contents
11 Creeping Motion Around Spheres at Rest in a Newtonian
Fluid. 1
11.1 Motivation. 3
11.2 Mathematical Preliminaries. 5
11.3 Stokes Flow Around a Stagnant Sphere. 9
11.3.1 Rigid Sphere and No-Slip Condition on the Surface
of the Sphere. 9
11.3.2 Cunningham's Correction. 14
11.3.3 Rigid Infinitely Thin Spherical Shell Filled
with a Fluid of Different Viscosity. 16
11.4 Oseen's Theory. 22
11.4.1 Governing Equations of the Oseen Theory. 22
11.4.2 Construction of a Particular Integral of (11.58). 25
11.4.3 'Stokes-Lets' and 'Oseen-Lets'. 27
11.5 Theory of Lagerstöm and Kaplun. 30
11.5.1 Motivation. 30
11.5.2 Stokes Expansion. 32
11.5.3 Oseen Expansion. 34
11.5.4 Matching Procedure. 35
11.6 Homotopy Analysis Method—The Viscous Drag Coefficient
Computed for Arbitrary Reynolds Numbers. 38
11.6.1 The Mathematical Concept. 39
11.6.2 Selection of \fr0,H,h and Approximate Solution. 41
11.7 Conclusions and Discussion. 43
References. 44
xvi Contents
12 Three-Dimensional Creeping Flow—Systematic Derivation of the
Shallow Flow Approximations. 47
12.1 Introductory Motivation. 49
12.2 Model Equations. 52
12.2.1 Field Equations. 52
12.2.2 Boundary Conditions. 54
12.3 Scaling Procedure. 56
12.4 Lowest Order Model Equations for Flow Down Steep Slopes
(Strang Steep Slope Shallow Flow Approximation). 66
12.5 A Slighüy More General Steep Slope Shallow Flow
Approximation (Weak Steep Slope Shallow Flow
Approximation). 71
12.6 Phenomenological Expressions for Creeping Glacier Ice. 74
12.7 Applications to DownhiU Creeping Flows. 77
12.7.1 Computational Procedure. 77
12.7.2 Profiles and Flows for Isothermal Conditions. 79
12.7.3 Remarks for Use of the Shallow Flow
Approximation for Alpine Glaciers. 82
12.8 Free-Surface Gravity-Driven Creep Flow of a Very Viscous
Body with Strong Thermomechanical Coupling—A Rigorous
Derivation of the Shallow Ice Approximation. 84
12.8.1 The Classical Shallow Flow Approximation. 84
12.8.2 Applications. 97
12.9 Discussion and Conclusions. 107
References. 108
13 Shallow Rapid Granulär Avalanches. 113
13.1 Introduction. 115
13.2 Distinctive Properties of Granulär Materials. 119
13.2.1 Düatancy. 120
13.2.2 Cohesion. 121
13.2.3 Lubrication. 122
13.2.4 Liquefaction. 125
13.2.5 Segregation, Inverse Grading, Brazil Nut Effect. 129
13.3 Shallow Flow Avalanche Modeling. 131
13.3.1 Voellmy's Avalanche Model. 132
13.3.2 The SH Model, Reduced to Its Essentials. 134
13.4 A Three-Dimensional Granulär Avalanche Model. 141
13.4.1 Field Equations. 141
13.4.2 Curvilinear Coordinates. 144
13.4.3 Equations in Dimensionless Form. 147
13.4.4 Kinematic Boundary Conditions. 149
13.4.5 Traction Free Condition at the Free Surface. 150
13.4.6 Coulomb Sliding Law at the Base. 150
13.4.7 Depth Integration. 151
Contents xvii
13.4.8 Ordering Relations. 154
13.4.9 Closure Property. 155
13.4.10 Nearly Uniform Flow Profile. 158
13.4.11 Summary of the Two-Dimensional SH Equations. . 159
13.4.12 Standard Form of the Differential Equations. 162
13.5 Avalanche Simulation and Verification with Experimental
Laboratory Data. 165
13.5.1 Introduction. . ,. 165
13.5.2 Classical and High Resolution Shock Capturing
Numerical Methods. 165
13.6 Attempts of Model Validation and Verification of Earthquake
and Typhoon Induced Landslides. 184
References. 192
14 Uniqueness and Stability. 197
14.1 Introduction. 198
14.2 Kinetic Energy of the Difference Motion. 201
14.3 Uniqueness. 205
14.4 Stability. 206
14.5 Energy Stability of the Laminar Channel Flow. 210
14.6 Linear Stability Analysis of Laminar Channel Flow. 216
14.6.1 Basic Concepts. 216
14.6.2 The Orr-Sommerfeld and the Rayleigh Equations. . 218
14.6.3 The Eigenvalue Problem. 221
References. 224
15 Turbulent Modeling. 227
15.1 A Primer on Turbulent Motions. 229
15.1.1 Averages and Fluctuations. 231
15.1.2 Filters. 233
15.1.3 Reynolds Versus Favre Averages. 234
15.2 Balance Equations for the Averaged Fields. 236
15.3 Turbulent Closure Relations. 239
15.3.1 Reynolds Stress Hypothesis and Turbulent
Dissipation Rate. 239
15.3.2 Averaged Density Field p. 240
15.3.3 Turbulent Heat Flux q, and Turbulent Species
Mass Flux./*,. 241
15.3.4 One- and Two-Equation Models. 245
15.4 k-s Model for Density Preserving and Boussinesq Fluids. 247
15.4.1 The Balance Equations. 247
15.4.2 Boussinesq Fluid Referred to a Non-inertial
Frame. 252
XV1I1
Contents
15.4.3 Summary of the ifc - e Equations. 254
15.4.4 Boundary Conditions. 256
15.4.5 Closing Remarks. 259
References. 260
16 Turbulent MMng Length Models and Their Applications
to Elementary Flow Configurations. 263
16.1 Motivation/Introduction. 265
16.2 The Turbulent Plane Wake. 271
16.3 The Axisymmetric Isothermal Steady Jet. 278
16.4 Turbulent Round Jet in a Parallel Co-flow. 295
16.5 A Study of Turbulent Plane Poiseuille Flow. 300
16.6 Discussion. 310
Appendix A: Prandtl's Mixing Length. 313
References. 315
17 Thermodynamics—Fundamentals. 317
17.1 Concepts and Some Historical Remarks. 320
17.2 General Notions and Definitions. 337
17.2.1 Thermodynamic System. 337
17.2.2 Thermodynamic States, Thermodynamic
Processes. 341
17.2.3 Extensive, Intensive, Specific and Molar State
Variables. 345
17.2.4 Adiabatic and Diathermie Walls. 347
17.2.5 Empirical Temperature, Gas Temperature and
Temperature Scales. 349
17.3 Thermal Equations of State. 353
17.3.1 Ideal Gas. 354
17.3.2 Real Gases. 355
17.3.3 The Phenomenological Model of van der Waals. 357
17.4 Reversible and Irreversible Thermodynamic Processes. 362
17.4.1 Diffusion. 362
17.4.2 Reversible Expansion and Compaction of a Gas. 366
17.5 First Law of Thermodynamics. 366
17.5.1 Mechanical Energies. 366
17.5.2 Definitions, Important for the First Law. 370
17.5.3 Caloric Equations of State for Fluids and Gases. 378
17.5.4 Simple Applications of the First Law. 382
17.5.5 Specific Heats of Real Gases. 390
17.6 The Second Law of Thermodynamics—Principle
of Irreversibility. 392
17.6.1 Preamble. 392
17.6.2 The Second Law for Simple Adiabatic Systems. 395
Contents xix
17.6.3 Generalizations for Non-adiabatic Systems. 410
17.7 First Applications of the Second Law of Thermodynamics . 412
References. 418
18 Thermodynamics—Field Formulation. 421
18.1 The Second Law of Thermodynamics for Continuous
Systems. 423
18.2 Two Populär Forms of the Entropy Principle. 429
18.2.1 Entropy Principle 1: Clausius-Duhem Inequality . 430
18.2.2 Entropy Principle of Ingo Müller. 440
18.3 Thermal and Caloric Equations of State. 452
18.3.1 Canonical Equations of State. 452
18.3.2 Specific Heats and Other Thermodynamic
Quanrities. 458
18.3.3 Application to Ideal Gases. 464
18.3.4 Isentropic Processes in Caloric Ideal Gases. 466
18.4 Thermodynamics of an Inviscid, Heat Conducting
Compressible Fluid—Toward a Hyperbolic Heat
Conduction Equation. 467
18.4.1 The Coleman-Noll Approach. 468
18.4.2 The Rational Thermodynamics of Ingo Müller. 472
Appendix: Proof of Liu's Theorem. 479
References. 481
19 Gas Dynamics. 483
19.1 Introductory Remarks. 485
19.2 Propagation of Small Perturbations in a Gas. 486
19.2.1 Fundamental Equations. 486
19.2.2 Plane and Spherical Waves. 493
19.2.3 Eigen Oscillations Determined with Bernoulli's
Method. 502
19.3 Steady, Isentropic Stream Filament Theory. 506
19.4 Theory of Shocks. 520
19.4.1 General Concepts. 520
19.4.2 Jump Conditions. 523
19.4.3 Stationary Shocks in Simple Fluids Under Adiabatic
Conditions. 527
19.5 Final Remarks. 536
References. 536
20 Dimensional Analysis, Similitude and Physical Experiments
at Laboratory Scale. 537
20.1 Introductory Motivation. 541
20.1.1 Dimensional Analysis. 541
20.1.2 Similitude and Model Experiments. 543
M Contents
20.1.3 Systems of Physical Entities. 545
20.2 Theory of Dimensional Equations. 547
20.2.1 Dimensional Homogeneity. 547
20.2.2 Buckingham's Theorem. 551
20.2.3 A Set of Examples from Fluid Mechanics. 556
20.3 Theory of Physical Models. 571
20.3.1 Analysis of the Downscaling of Physical
Processes. 571
20.3.2 Applications. 577
20.4 Model Theory and Differential Equations. 583
20.4.1 Avalanching Motions down Curved and Inclined
Surfaces. 584
20.4.2 Navier-Stokes-Fourier-Fick Equations. 584
20.4.3 Non-dimensionalization of the NSFF Equations. 586
20.5 Discussion and Conclusions. 591
Appendix A: Algebraic Theory of Dimensional Analysis. 592
References. 605
List of Biographies. 609
Name Index. 611
Subject Index. 617 |
| any_adam_object | 1 |
| author | Hutter, Kolumban 1941-2024 Wang, Yongqi 1964- |
| author_GND | (DE-588)121218694 (DE-588)123686458 |
| author_facet | Hutter, Kolumban 1941-2024 Wang, Yongqi 1964- |
| author_role | aut aut |
| author_sort | Hutter, Kolumban 1941-2024 |
| author_variant | k h kh y w yw |
| building | Verbundindex |
| bvnumber | BV043740090 |
| ctrlnum | (OCoLC)964317252 (DE-599)BVBBV043740090 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cc4500</leader><controlfield tag="001">BV043740090</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20161005</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">160829s2016 xx a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319336350</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-319-33635-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)964317252</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043740090</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hutter, Kolumban</subfield><subfield code="d">1941-2024</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121218694</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fluid and thermodynamics</subfield><subfield code="n">Volume 2</subfield><subfield code="p">Advanced fluid mechanics and thermodynamic fundamentals</subfield><subfield code="c">Kolumban Hutter, Yongqi Wang</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">[Cham]</subfield><subfield code="b">Springer</subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xx, 633 Seiten</subfield><subfield code="b">Illustrationen, Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Advances in geophysical and environmental mechanics and mathematics</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wang, Yongqi</subfield><subfield code="d">1964-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)123686458</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="w">(DE-604)BV043740080</subfield><subfield code="g">2</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-319-33636-7</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029151833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029151833</subfield></datafield></record></collection> |
| id | DE-604.BV043740090 |
| illustrated | Illustrated |
| indexdate | 2025-01-11T18:20:53Z |
| institution | BVB |
| isbn | 9783319336350 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029151833 |
| oclc_num | 964317252 |
| open_access_boolean | |
| owner | DE-83 DE-634 |
| owner_facet | DE-83 DE-634 |
| physical | xx, 633 Seiten Illustrationen, Diagramme |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer |
| record_format | marc |
| series2 | Advances in geophysical and environmental mechanics and mathematics |
| spelling | Hutter, Kolumban 1941-2024 Verfasser (DE-588)121218694 aut Fluid and thermodynamics Volume 2 Advanced fluid mechanics and thermodynamic fundamentals Kolumban Hutter, Yongqi Wang [Cham] Springer [2016] xx, 633 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Advances in geophysical and environmental mechanics and mathematics Wang, Yongqi 1964- Verfasser (DE-588)123686458 aut (DE-604)BV043740080 2 Erscheint auch als Online-Ausgabe 978-3-319-33636-7 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029151833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hutter, Kolumban 1941-2024 Wang, Yongqi 1964- Fluid and thermodynamics |
| title | Fluid and thermodynamics |
| title_auth | Fluid and thermodynamics |
| title_exact_search | Fluid and thermodynamics |
| title_full | Fluid and thermodynamics Volume 2 Advanced fluid mechanics and thermodynamic fundamentals Kolumban Hutter, Yongqi Wang |
| title_fullStr | Fluid and thermodynamics Volume 2 Advanced fluid mechanics and thermodynamic fundamentals Kolumban Hutter, Yongqi Wang |
| title_full_unstemmed | Fluid and thermodynamics Volume 2 Advanced fluid mechanics and thermodynamic fundamentals Kolumban Hutter, Yongqi Wang |
| title_short | Fluid and thermodynamics |
| title_sort | fluid and thermodynamics advanced fluid mechanics and thermodynamic fundamentals |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029151833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV043740080 |
| work_keys_str_mv | AT hutterkolumban fluidandthermodynamicsvolume2 AT wangyongqi fluidandthermodynamicsvolume2 |