Mathematical methods in engineering:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Chichester u.a.
Wiley
1985
|
| Edition: | Repr. |
| Series: | Handbook of applicable mathematics / Guidebook.
5. A Wiley-Interscience publication. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 458 S. graph. Darst. |
| ISBN: | 0471103314 |
Staff View
MARC
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| 245 | 1 | 0 | |a Mathematical methods in engineering |c Hrsg. von Glyn A. Davies* |
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Record in the Search Index
| _version_ | 1804117933451902976 |
|---|---|
| adam_text | Contents
Editorial Note xi
Preface and Acknowledgements xiii
1 Introduction 1
1.1 Objectives 1
1.2 Modelling 2
1.3 Analytical resources 4
2 Engineering Fluid Mechanics 7
2.1 The Navier-Stokes equations 7
2.2 Incompressible flow 8
2.3 Solutions of the complete Navier-Stokes equations .... 10
2.4 Potential flow methods 11
2.5 Unsteady incompressible irrotational flow 15
2.6 Rotational flows 16
2.7 Wakes 17
2.8 Turbulence 19
2.9 Compressible flows 20
2.10 Three-dimensional subsonic flows 26
3 Boundary Layers 29
3.1 Introduction 29
3.2 Two-dimensional boundary layers 30
3.3 Unsteady boundary layers 39
3.4 Three-dimensional boundary layers 42
3.5 Flow in pipes 47
4 Compressible Flow 53
4.1 Compressibility, speed of sound and Mach number . ... 53
4.2 Equation of state for a perfect gas 55
4.3 The first law of thermodynamics, irreversibility, entropy and
the second law of thermodynamics 55
vii
viii Contents
4.4 The equations of motion 57
4.5 Shock waves 63
4.6 The method of characteristics 68
4.7 Conical and pseudo-steady similarity 79
4.8 Small perturbation solutions, higher approximations and
iterative solutions 82
5 Free Surfaces and Waves 91
5.1 Hydrostatics 91
5.2 Open channel flow 93
5.3 Surface water waves 98
5.4 Reflection, refraction and diffraction 105
6 Hydrology Ill
6.1 Introduction Ill
6.2 Surface run-off and stream flow Ill
6.3 Simplified dynamic model 119
6.4 Simplified theory: the kinematic wave 123
6.5 Atmospheric circulation 125
7 Flow and Deformation in Soils 131
7.1 Introduction and basic concepts 131
7.2 Steady groundwater flow 134
7.3 Non-steady groundwater flow 142
7.4 Mathematical solutions to the Terzaghi consolidation
equation 148
7.5 Secondary consolidation 153
7.6 Biot s theory of three-dimensional consolidation 157
7.7 Behaviour of partially saturated soils and swelling soils . . 160
7.8 Failure of soils 162
7.9 Plasticity analysis in soil mechanics 163
7.10 Further topics on soil mechanics .- 170
Appendix A 170
Appendix B 172
8 Heat Transfer 177
8.1 Conduction 177
8.2 One-dimensional steady-state heat conduction 179
8.3 Extended surfaces 181
8.4 Steady-state heat conduction in two dimensions 186
8.5 Transient conduction in one spatial dimension 188
8.6 Convection 193
Contents ix
8.7 Laminar flow systems 194
8.8 Turbulent flow systems 200
9 Chemical Engineering 205
9.1 Introduction 205
9.2 Reactors 207
9.3 Vapour liquid equilibria 217
9.4 Distillation 221
9.5 Gas absorption 231
10 Structural Mechanics 237
10.1 Introduction 237
10.2 Analytical linear problems with no gross deformations . . . 242
10.3 Approximate methods 259
10.4 Dynamics 268
10.5 Optimum design 273
11 Polymer Engineering 275
11.1 Introduction 275
11.2 Time-dependent behaviour 276
11.3 Linear viscoelastic stress-strain constitutive relationships . 279
11.4 Stress analysis 288
11.5 The solution of practical problems—approximate and
numerical methods 293
11.6 Non-linear viscoelasticity 295
11.7 Finite elastic deformation 296
11.8 Polymer processing—aspects of extrusion 299
12 Nuclear Power 309
12.1 Introduction 309
12.2 Radioactive decay and isotopic transformations 310
12.3 Particle transport theory 318
12.4 The diffusion and other approximations 330
12.5 Reactor kinetics and control 339
12.6 Nuclear fuel cycles 346
13 Systems Engineering
13.1 What is systems engineering? 361
13.2 Mathematical models 362
13.3 Optimization 363
13.4 Randomness 369
13.5 Imprecision 376
13.6 Closure 381
x Contents
14 Control Engineering 383
14.1 Introduction 383
14.2 Mathematical models of systems 384
14.3 Estimating the dynamics of systems 390
14.4 Steady-state accuracy in linear feedback control systems . . 394
14.5 Stability of control systems 395
14.6 Frequency domain design of linear feedback control systems . 400
14.7 Root locus and root contour methods 401
14.8 Static optimization 402
14.9 Adaptive control systems 404
14.10 State-space methods 405
14.11 Dynamic optimization 408
14.12 Multivariable control systems 410
14.13 Non-linear control systems 415
15 The Finite Element Method 421
15.1 Introduction 421
15.2 Second-order elliptic boundary-value problems 422
15.3 Approximation schemes 426
15.4 A two-dimensional elliptic boundary-value problem .... 430
15.5 A finite element approximation scheme 432
15.6 Computation of the finite element approximation .... 436
15.7 Error analysis 438
15.8 Parametrically defined elements and functions 440
15.9 A finite element scheme for an elliptic boundary-value
problem, using parametrically defined finite element functions 444
15.10 The finite element scheme 447
15.11 Extensions and generalizations 448
Index 453
|
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| discipline | Mathematik |
| edition | Repr. |
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| id | DE-604.BV003583448 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:02:16Z |
| institution | BVB |
| isbn | 0471103314 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002281558 |
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| owner_facet | DE-384 |
| physical | XIV, 458 S. graph. Darst. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Wiley |
| record_format | marc |
| series2 | Handbook of applicable mathematics / Guidebook. A Wiley-Interscience publication. |
| spelling | Mathematical methods in engineering Hrsg. von Glyn A. Davies* Repr. Chichester u.a. Wiley 1985 XIV, 458 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Handbook of applicable mathematics / Guidebook. 5. A Wiley-Interscience publication. Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Technik (DE-588)4059205-4 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Mathematik (DE-588)4037944-9 s Ingenieurwissenschaften (DE-588)4137304-2 s DE-604 Technik (DE-588)4059205-4 s 1\p DE-604 Strömungsmechanik (DE-588)4077970-1 s 2\p DE-604 Mathematische Methode (DE-588)4155620-3 s 3\p DE-604 Davies, Glyn A. Sonstige oth Guidebook. Handbook of applicable mathematics 5. (DE-604)BV002806175 5. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002281558&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mathematical methods in engineering Mathematik (DE-588)4037944-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Technik (DE-588)4059205-4 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4155620-3 (DE-588)4059205-4 (DE-588)4137304-2 (DE-588)4077970-1 |
| title | Mathematical methods in engineering |
| title_auth | Mathematical methods in engineering |
| title_exact_search | Mathematical methods in engineering |
| title_full | Mathematical methods in engineering Hrsg. von Glyn A. Davies* |
| title_fullStr | Mathematical methods in engineering Hrsg. von Glyn A. Davies* |
| title_full_unstemmed | Mathematical methods in engineering Hrsg. von Glyn A. Davies* |
| title_short | Mathematical methods in engineering |
| title_sort | mathematical methods in engineering |
| topic | Mathematik (DE-588)4037944-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Technik (DE-588)4059205-4 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Mathematik Mathematische Methode Technik Ingenieurwissenschaften Strömungsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002281558&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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