Turbulence: an introduction for scientists and engineers
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford Univ. Press
2015
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | XVI, 630 S. Ill., graph. Darst. |
| ISBN: | 9780198722588 9780198722595 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV042442238 | ||
| 003 | DE-604 | ||
| 005 | 20160229 | ||
| 007 | t | ||
| 008 | 150323s2015 ad|| |||| 00||| eng d | ||
| 020 | |a 9780198722588 |c hbk. |9 978-0-19-872258-8 | ||
| 020 | |a 9780198722595 |c pbk. |9 978-0-19-872259-5 | ||
| 035 | |a (OCoLC)910589310 | ||
| 035 | |a (DE-599)BVBBV042442238 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 |a DE-29T |a DE-19 |a DE-20 |a DE-703 |a DE-11 |a DE-83 |a DE-91G |a DE-573 |a DE-706 | ||
| 082 | 0 | |a 532.0527 | |
| 082 | 0 | |a 532/.0527 | |
| 084 | |a UF 4300 |0 (DE-625)145584: |2 rvk | ||
| 084 | |a MTA 460f |2 stub | ||
| 084 | |a 76Fxx |2 msc | ||
| 084 | |a PHY 223f |2 stub | ||
| 100 | 1 | |a Davidson, P. A. |d 1957- |e Verfasser |0 (DE-588)173480845 |4 aut | |
| 245 | 1 | 0 | |a Turbulence |b an introduction for scientists and engineers |c P. A. Davidson |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Oxford |b Oxford Univ. Press |c 2015 | |
| 300 | |a XVI, 630 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Turbulente Strömung |0 (DE-588)4117265-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Turbulente Strömung |0 (DE-588)4117265-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027877510&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027877510&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027877510 | ||
Datensatz im Suchindex
| _version_ | 1804153135238742016 |
|---|---|
| adam_text | CONTENTS
Part 1 The classical picture of turbulence
1. The ubiquitous nature of turbulence 3
1.1 The experiments of Taylor and Bénard 4
1.2 Flow over a cylinder 7
1.3 Reynolds’ experiment 8
1.4 Common themes 9
1.5 The ubiquitous nature of turbulence 13
1.6 Different scales in a turbulent flow: a glimpse at the energy cascade of
Kolmogorov and Richardson 18
1.7 The closure problem of turbulence 27
1.8 Is there a Theory of turbulence’? 29
1.9 The interaction of theory, computation, and experiment 30
2. The equations of fluid mechanics 34
2.1 The Navier-Stokes equation 35
2.1.1 Newton*s second law applied to a fluid 35
2.1.2 The convective derivative 38
2.1.3 Integral versions of the momentum equation 40
2.1.4 The rate of dissipation of energy in a viscous fluid 41
2.2 Relating pressure to velocity 43
2.3 Vorticity dynamics 44
2.3.1 Vorticity and angular momentum 44
2.3.2 The vorticity equation 48
2.3.3 Kelvin s theorem 52
2.3.4 Tracking vorticity distributions 55
2.4 A definition of turbulence 57
3. The origins and nature of turbulence 61
3.1 The nature of chaos 62
3.1.1 From non-linearity to chaos 63
3.1.2 More on bifurcations 66
3.1.3 The arrow of time 69
CONTENTS
XI
3.2 Some elementary properties of freely evolving turbulence 71
3.2.1 Various stages of development 73
3.2.2 The rate of destruction of energy in fully developed turbulence 77
3.2.3 How much does the turbulence remember? 81
3.2.4 The need for a statistical approach and different methods of taking averages 85
3.2.5 Velocity correlations, structure functions, and the energy spectrum 88
3.2.6 Is the asymptotic state universal? Kolmogorov s theory 94
3.2.7 The probability distribution of the velocity field 97
4. Turbulent shear flows and simple closure models 105
4.1 The exchange of energy between the mean flow and the turbulence 107
4.1.1 Reynolds stresses and the closure problem of turbulence 108
4.1.2 The eddy viscosity theories ofBoussinesq and Prandtl 111
4.1.3 The transfer of energy from the mean flow to the turbulence 114
4.1.4 A glimpse at the k-e model 119
4.2 Wall-bounded shear flows and the log-law of the wall 122
4.2.1 Turbulent flow in a channel and the log-law of the wall 122
4.2.2 Inactive motion—a problem for the log-law? 127
4.2.3 Turbulence profiles in channel flow 129
4.2.4 The log-law for a rough wall 131
4.2.5 The structure of a turbulent boundary layer 131
4.2.6 Coherent structures 134
4.2.7 Spectra and structure functions near the wall 139
4.3 Free shear flows 142
4.3.1 Planar jets and wakes 142
4.3.2 The round jet 148
4.4 Homogeneous shear flow 152
4.4.1 The governing equations 152
4.4.2 The asymptotic state 156
4.5 Heat transfer in wall-bounded shear flows—the log-law revisited 157
4.5.1 Turbulent heat transfer near a surface and the log-law for temperature 157
4.5.2 The effect of stratification on the log-law—the atmospheric boundary layer 163
4.6 More on one-point closure models 169
4.6.1 A second look at the k-e model 169
4.6.2 The Reynolds stress model 176
4.6.3 Large eddy simulation: a rival for one-point closures? 180
5. The phenomenology of Taylor, Richardson, and Kolmogorov 188
5.1 Richardson revisited 191
5.1.1 Time and length scales in turbulence 191
5.1.2 The energy cascade pictured as the stretching of turbulen t eddies 195
5.1.3 The dynamic properties of turbulent eddies: linear and angular impulse 202
5.2 Kolmogorov revisited 211
5.2.1 Dynamics of the small scales 211
5.2.2 Turbulence-induced fluctuations of a passive scalar 221
5.3 The intensification of vorticity and the stretching of material lines 228
5.3.1 Enstrophy production and the skewness factor 228
XÜ |
CONTENTS
5.3.2 Sheets or tubes? 231
5.3.3 Examples of concentrated vortex sheets and tubes 234
5.3.4 Are there singularities in the vorticity field? 236
5.3.5 The stretching of material line elements 240
5.3.6 The interplay of the strain and vorticity fields 243
5.4 Turbulent diffusion by continuous movements 252
5.4.1 Taylor diffusion of a single particle 254
5.4.2 Richardson s law for the relative diffusion of two particles 257
5.4.3 The influence of mean shear on turbulent dispersion 260
5.5 Why turbulence is never Gaussian 263
5.5.1 The experimental evidence and its interpretation 263
5.5.2 A glimpse at closure schemes which assume near~Gaussian statistics 267
5.6 Closure 268
Part 2 Freely decaying, homogeneous turbulence
6. Isotropic turbulence (in real space) 275
6.1 Introduction: exploring isotropic turbulence in real space 275
6.1.1 Deterministic cartoons versus statistical phenomenology 276
6.1.2 The strengths and weaknesses of Fourier space 281
6.1.3 An overview of this chapter 283
6.2 The governing equations of isotropic turbulence 293
6.2.1 Some kinematics: velocity correlation functions and structure functions 293
6.2.2 More kinematics: the simplifications of isotropy and the vorticity
correlation function 300
6.2.3 A summary of the kinematic relationships 304
6.2.4 Dynamics at last: the Karman-Howarth equation 308
6.2.5 Kolmogorov s four-fifths law 310
6.2.6 The skewness factor and enstrophy production (reprise) 312
6.2.7 The dynamical equation for the third-order correlations
and the problem of closure 313
6.2.8 Closure of the dynamical equations in the equilibrium range 314
6.2.9 Quasi-normaTtype closure schemes (part 1) 316
6.2.10 Passive scalar mixing in isotropic turbulence and Yaglom s
four-thirds law 318
6.3 The dynamics of the large scales 320
6.3.1 The classical view: Loitsyansky s integral and Kolmogorov s decay laws 322
6.3.2 Landau s angular momentum 323
6.3.3 Batchelor s pressure forces 328
6.3.4 Saffman s spectrum 333
6.3.5 A consistent theory of the large scales in Batchelor turbulence 342
6.3.6 A summary of the dynamics of the large scales 346
6.4 The characteristic signature of eddies of different shape 348
6.4.1 Townsend s model eddy and its relatives 349
6.4.2 Turbulence composed of Townsend s model eddies of different sizes 353
6.4.3 Other model eddies 356
CONTENTS ) Xiii
6.5 Intermittency in the inertial-range eddies 357
6.5.1 A problem for Kolmogorov s theory? 358
6.5.2 The log-normal model of intermittency 360
6.5.3 The 0 model of intermittency r 363
6.6 Measuring the distribution of energy and enstrophy across the different
eddy sizes 366
6.6.1 A real-space function which represents, approximately, the variation
of energy with scale 366
6.6.2 Relating energy distributions in real and Fourier space 374
6.6.3 Cascade dynamics in real space 379
7. The role of numerical simulations 394
7.1 What is DNS or LES? 394
7.1.1 Direct numerical simulations (DNS) 394
7.1.2 Large eddy simulations (LES) 398
7.2 On the dangers of periodicity 404
7.3 Structure in chaos 406
7.3.1 Tubes, sheets, and cascades 407
7.3.2 On the taxonomy of worms and clusters of worms 412
8. Isotropic turbulence (in spectral space) 419
8.1 Kinematics in spectral space 420
8.1.1 The Fourier transform and its properties 421
8.1.2 The Fourier transform as a filter 425
8.1.3 The autocorrelation function and power spectrum 427
8.1.4 The transform of the correlation tensor and the three-dimensional
energy spectrum 431
8.1.5 One-dimensional energy spectra in three-dimensional turbulence 434
8.1.6 Relating the energy spectrum to the second-order structure function 438
8.1.7 A footnote: singularities in the spectrum due to anisotropy 440
8.1.8 Another footnote: the transform of the velocity field 441
8.1.9 Definitely the last footnote: what do E(k) and Ei(k) really represent? 442
8.2 Dynamics in spectral space 445
8.2.1 An evolution equation for E(k) 445
8.2.2 Closure in spectral space 448
8.2.3 Quasi-normal type closure schemes (part 2) 454
Part 3 Special topics
9. The influence of rotation, stratification, and magnetic fields on turbulence 467
9.1 The importance of body forces in geophysics and astrophysics 467
9.2 The influence of rapid rotation and stable stratification 470
9.2.1 The Coriolis force 470
9.2.2 The Taylor-Proudman theorem 473
9.2.3 Properties of inertial waves 474
9.2.4 Turbulence in rapidly rotating systems 479
9.2.5 From rotation to stratification (or from cigars to pancakes) 485
xiv I CONTENTS
9.3 The influence of magnetic fields I: the MHD equations 488
9.3.1 The interaction of moving conductors and magnetic
fields: a qualitative overview 489
9.3.2 From MaxwelVs equations to the governing equations of MHD 494
9.3.3 Simplifying features of low magnetic Reynolds number MHD 498
9.3.4 Simple properties of high magnetic Reynolds number MHD 499
9.4 The influence of magnetic fields II: MHD turbulence 503
9.4.1 The growth of anisotropy in MHD turbulence 505
9.4.2 The evolution of eddies at low magnetic Reynolds number 507
9.4.3 The Landau invariant for homogeneous MHD turbulence 513
9.4.4 Decay laws at low magnetic Reynolds number 514
9.4.5 Turbulence at high magnetic Reynolds numher 516
9.4.6 The shaping of eddies by combined Coriolis and Lorentz forces 520
9.5 Turbulence in the core of the earth 522
9.5.1 An introduction to planetary dynamo theory 523
9.5.2 Numerical simulations of the geodynamo 529
9.5.3 Various cartoons of the geodynamo 532
9.5.4 Ana2 model of the geodynamo based on inertial wave packets 538
9.6 Turbulence near the surface of the sun 553
10. Two-dimensional turbulence 559
10.1 The classical picture of 2D turbulence: Batchelor s self-similar spectrum, the inverse energy cascade, and the E(k)~k~3 enstrophy
flux law 560
10.1.1 What is two-dimensional turbulence? 560
10.1.2 What does the turbulence remember? 565
10.1.3 Batchelors self-similar spectrum 565
10.1.4 The inverse energy cascade of Batchelor and Kraichnan 567
10.1.5 Different scales in 2D turbulence 570
10.1.6 The shape of the energy spectrum and the k~3 law 571
10.1.7 Problems with the kr3 law 574
10.2 Coherent vortices: a problem for the classical theories 577
10.2.1 The evidence 577
10.2.2 The significance 579
10.3 The governing equations in statistical form 581
10.3.1 Correlation functions, structure functions, and the energy spectrum 582
10.3.2 The two-dimensional Karman-Howarth equation 586
10.3.3 Four consequences of the Karman-Howarth equation 586
10.3.4 The two-dimensional Karman-Howarth equation in spectral space 588
10.4 Variational principles for predicting the final state in confined domains 591
10.4.1 Minimum enstrophy 592
10.4.2 Maximum entropy 594
10.5 Quasi-two-dimensional turbulence: bridging the gap with reality 594
10.5.1 The governing equations for shallow-water; rapidly rotating flow 595
10.5.2 The Karman-Howarth equation for shallow-water, rapidly
rotating turbulence 597
CONTENTS
XV
Epilogue 601
Appendix 1: Vector identities and an introduction to tensor notation 603
AL1 Vector identities and theorems 603
A 1.2 An introduction to tensor notation 606
Appendix 2: The properties of isolated vortices: invariants, far-held properties,
and long-range interactions 611
A2.1 The far-field velocity induced by an isolated eddy 611
A2.2 The pressure distribution in the far field 613
A2.3 Integral invariants of an isolated eddy: linear and angular impulse 614
A2.4 Long-range interactions between eddies 617
Appendix 3: Hankel transforms and hypergeometric functions 620
A3.1 Hankel transforms 620
A3.2 Hypergeometric functions 621
Appendix 4: The kinematics of homogeneous, axisymmetric turbulence 623
Subject index 625
xvi I CONTENTS
turbulence
AN INTRODUCTION FOR SCIENTISTS AND ENGINEERS
■ This is an advanced textbook on the subject of turbulence, and is suitable
for engineers, physical scientists, and applied mathematicians. The aim of the book is to bridge the gap between the elementary accounts of ( turbulence found in undergraduate texts, and the more rigorous monographs . on the subject.
Throughout, the book combines the maximum of physical insight with the minimum of mathematical detail. Chapters 1 to 5 may be appropriate as background material for an advanced undergraduate or introductory I postgraduate course on turbulence, while Chapters 6 to 10 may be suitable as background material for an advanced postgraduate course on turbulence, or to act as a reference source for professional researchers.
This second edition covers a decade of advancement in the field, streamlin-Cover ,m Two-dimensional ,n9 original content while updating the sections where the subject has turbulence created using a soap rnoved on. The expanded content includes large-scale dynamics, rotating film. Courtesy of M. Ward-Close, turbulence, the increased power of direct numerical simulation, two-dimen-A. Dorn and B. R. Pearson sional turbulence, magnetohydrodynamics, and turbulence in the core of
the Earth.
is currently Professor of Fluid Mechanics at the University of Cambridge, and has worked as a research engineer in industry both in the UK and the USA. He was awarded the Institute of Materials prize in 1996 for best paper in non-ferrous metallurgy, and is the author of over 100 publications.
|
| any_adam_object | 1 |
| author | Davidson, P. A. 1957- |
| author_GND | (DE-588)173480845 |
| author_facet | Davidson, P. A. 1957- |
| author_role | aut |
| author_sort | Davidson, P. A. 1957- |
| author_variant | p a d pa pad |
| building | Verbundindex |
| bvnumber | BV042442238 |
| classification_rvk | UF 4300 |
| classification_tum | MTA 460f PHY 223f |
| ctrlnum | (OCoLC)910589310 (DE-599)BVBBV042442238 |
| dewey-full | 532.0527 532/.0527 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.0527 532/.0527 |
| dewey-search | 532.0527 532/.0527 |
| dewey-sort | 3532.0527 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01817nam a2200409 c 4500</leader><controlfield tag="001">BV042442238</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160229 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">150323s2015 ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780198722588</subfield><subfield code="c">hbk.</subfield><subfield code="9">978-0-19-872258-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780198722595</subfield><subfield code="c">pbk.</subfield><subfield code="9">978-0-19-872259-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)910589310</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042442238</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-573</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">532.0527</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">532/.0527</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UF 4300</subfield><subfield code="0">(DE-625)145584:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MTA 460f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">76Fxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 223f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Davidson, P. A.</subfield><subfield code="d">1957-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)173480845</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Turbulence</subfield><subfield code="b">an introduction for scientists and engineers</subfield><subfield code="c">P. A. Davidson</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford</subfield><subfield code="b">Oxford Univ. Press</subfield><subfield code="c">2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 630 S.</subfield><subfield code="b">Ill., graph. Darst.</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="650" ind1="0" ind2="7"><subfield code="a">Turbulente Strömung</subfield><subfield code="0">(DE-588)4117265-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Turbulente Strömung</subfield><subfield code="0">(DE-588)4117265-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment</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=027877510&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment</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=027877510&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Klappentext</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027877510</subfield></datafield></record></collection> |
| id | DE-604.BV042442238 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:21:47Z |
| institution | BVB |
| isbn | 9780198722588 9780198722595 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027877510 |
| oclc_num | 910589310 |
| open_access_boolean | |
| owner | DE-634 DE-29T DE-19 DE-BY-UBM DE-20 DE-703 DE-11 DE-83 DE-91G DE-BY-TUM DE-573 DE-706 |
| owner_facet | DE-634 DE-29T DE-19 DE-BY-UBM DE-20 DE-703 DE-11 DE-83 DE-91G DE-BY-TUM DE-573 DE-706 |
| physical | XVI, 630 S. Ill., graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| spelling | Davidson, P. A. 1957- Verfasser (DE-588)173480845 aut Turbulence an introduction for scientists and engineers P. A. Davidson 2. ed. Oxford Oxford Univ. Press 2015 XVI, 630 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027877510&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027877510&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Davidson, P. A. 1957- Turbulence an introduction for scientists and engineers Turbulente Strömung (DE-588)4117265-6 gnd |
| subject_GND | (DE-588)4117265-6 |
| title | Turbulence an introduction for scientists and engineers |
| title_auth | Turbulence an introduction for scientists and engineers |
| title_exact_search | Turbulence an introduction for scientists and engineers |
| title_full | Turbulence an introduction for scientists and engineers P. A. Davidson |
| title_fullStr | Turbulence an introduction for scientists and engineers P. A. Davidson |
| title_full_unstemmed | Turbulence an introduction for scientists and engineers P. A. Davidson |
| title_short | Turbulence |
| title_sort | turbulence an introduction for scientists and engineers |
| title_sub | an introduction for scientists and engineers |
| topic | Turbulente Strömung (DE-588)4117265-6 gnd |
| topic_facet | Turbulente Strömung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027877510&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027877510&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT davidsonpa turbulenceanintroductionforscientistsandengineers |