Dimensional analysis: with case studies in mechanics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2011
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Weitere Ausgabe: Online-Ausg.: Dimensional Analysis |
| Beschreibung: | XVI, 186 S. graph. Darst. |
| ISBN: | 3642192335 9783642192333 |
Internformat
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| 245 | 1 | 0 | |a Dimensional analysis |b with case studies in mechanics |c Qing-Ming Tan |
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Datensatz im Suchindex
| _version_ | 1805145363175178240 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 PRELIMINARY APPROACHES 1
1.2 DIMENSION 1
1.3 QUANTITIES: DIMENSIONAL, DIMENSIONLESS, FUNDAMENTAL, AND DERIVED 2
1.4 MEASUREMENT OF PHYSICAL QUANTITIES 3
1.5 THE SIMPLE PENDULUM 4
1.6 ESSENTIAL PRINCIPLES 5
2 FUNDAMENTAL PRINCIPLES OF DIMENSIONAL ANALYSIS 7
2.1 POWER LAW FORMULA FOR DIMENSION OF PHYSICAL QUANTITY . . . 7 2.2
THE PI THEOREM 10
2.3 SELECTION OF FUNDAMENTAL QUANTITIES 12
2.4 SIMILARITY LAWS 14
2.5 APPLYING THE PI THEOREM 15
REFERENCES 16
3 PROBLEMS IN FLUID MECHANICS 17
3.1 TYPICAL FLOWS 17
3.1.1 OVERFLOW 17
3.1.2 FRICTION DRAG FOR FLOWS IN TUBES 18
3.1.3 VELOCITY PROFILE OF VISCOUS FLOW IN CYLINDRICAL TUBES 21
3.1.4 FLOWS PAST A BODY 25
3.1.5 RESISTANCE RELATED TO SHIPS 27
3.1.6 LUBRICATION OF BEARINGS 29
3.1.7 WATER WAVES 32
3.1.8 DE LAVAL NOZZLE 34
3.1.9 HIGH VELOCITY FLOW PAST A THIN AEROFOIL 36
3.1.10 CENTRIFUGAL COMPRESSORS 39
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1009641530
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
3.2 SIMILARITY CRITERION NUMBERS FOR HYDRODYNAMIC PROBLEMS . . 41 3.3
ADDITIONAL SIMILARITY CRITERION NUMBERS 44
3.4 CLASSIFICATION OF FLUID FLOW 46
REFERENCES 47
PROBLEMS IN SOLID MECHANICS 49
4.1 STRESS ANALYSIS FOR ELASTIC BODIES AND STABILITY ANALYSIS FOR SIMPLE
STRUCTURES 49
4.1.1 DEFLECTION OF BEAMS 49
4.1.2 DEFORMATION AND STRESS IN THREE-DIMENSIONAL ELASTIC BODIES 51
4.1.3 APPLICATION OF CENTRIFUGAL MACHINE TO MODELING GRAVITY EFFECT 54
4.1.4 PHOTOELASTIC EXPERIMENTS 56
4.1.5 CRITICAL LOADING FOR INSTABILITY OF COLUMNS UNDER COMPRESSION 58
4.2 VIBRATION AND WAVE MOTION OF ELASTIC BODIES 59
4.2.1 INHERENT VIBRATION OF FINITE ELASTIC BODIES 60
4.2.2 FORCED VIBRATION OF ELASTIC BODIES 60
4.2.3 WAVE VELOCITY OF BODY WAVES AND SURFACE WAVES IN ELASTIC BODIES
AND WAVE DISPERSION IN ELASTIC WAVEGUIDES 61
4.3 STRESS ANALYSIS OF ELASTO-PLASTIC BODIES 65
4.3.1 STATIC TENSION OF CYLINDRICAL RODS 65
4.3.2 MODELING STRESS DISTRIBUTION IN ELASTO-PLASTIC BODIES 67
4.3.3 MODELING COLD-ROLLED STEEL PLATES 68
4.3.4 HARDNESS 70
4.4 TENSILE FRACTURE OF SOLIDS 75
REFERENCES 79
HEAT CONDUCTION AND THERMAL STRESS IN SOLIDS 81
5.1 HEAT CONDUCTION IN SOLIDS 81
5.1.1 HEAT CONDUCTION FOR PRESCRIBED BOUNDARY TEMPERATURES 82
5.1.2 HEAT CONDUCTION FOR PRESCRIBED TEMPERATURE GRADIENT AT BOUNDARY 85
5.2 THERMAL STRESS IN ELASTIC BODIES 87
5.2.1 THERMAL ELASTIC CONSTITUTIVE RELATIONSHIP 88
5.2.2 THERMAL STRESS IN SOLIDS 90
REFERENCES 92
IMAGE 3
CONTENTS XV
6 PROBLEMS OF COUPLING FLUID MOTION AND SOLID DEFORMATION 93 6.1 WATER
HAMMERS 93
6.1.1 WAVE VELOCITY OF PRESSURE WAVES 93
6.1.2 INTENSITY OF WATER HAMMER 96
6.2 ELASTIC BEARINGS WITH LIQUID LUBRICANT 97
6.3 FLUTTERING OF AIRFOILS 99
6.4 VORTEX-EXCITED VIBRATION IN HEAT EXCHANGERS 100
7 HYDRO-ELASTO-PIASTIC MODELING 103
7.1 HYDRO-ELASTO-PIASTIC MODEL 103
7.2 SIMILARITY PARAMETERS IN PROBLEMS RELATED TO CHEMICAL EXPLOSIONS 107
7.3 SIMILARITY PARAMETERS IN PROBLEMS RELATED TO HIGH VELOCITY IMPACT
107
REFERENCE 108
8 SIMILARITY LAWS FOR EXPLOSIONS 109
8.1 EXPLOSION WAVES IN AIR AND WATER 110
8.1.1 EXPLOSION WAVES IN AIR 110
8.1.2 EXPLOSION WAVES IN WATER 112
8.1.3 INTENSE EXPLOSION OF POINT SOURCE 114
8.2 EXPLOSIVE WORKING 120
8.2.1 EXPLOSIVE FORMING 120
8.2.2 EXPLOSIVE WELDING 124
8.3 BLASTING 128
8.3.1 BOLESKOV (BOJIECKOB) FORMULA FOR BLASTING USING THE CONCENTRATED
CHARGE SCHEME 129
8.3.2 EXCAVATION BLASTING FOR TRENCHES OR TUNNELS 131 8.3.3 DIRECTED
EJECTION BLASTING OF PLANAR CHARGE 132 REFERENCES 137
9 SIMILARITY LAWS FOR HIGH VELOCITY IMPACTS 139
9.1 ROD PROJECTILES 139
9.2 FORMATION OF HIGH VELOCITY JET AND JET PENETRATION INTO TARGET 141
9.3 SPALLATION OF ARMOR INDUCED BY EXPLOSIONS 146
9.4 HYPERVELOCITY IMPACTS 147
9.5 HIGH VELOCITY EXTENSION FRACTURE OF METALLIC JETS AND PLATES 149
9.6 COAL AND GAS OUTBURST PHENOMENON RELATED TO COUPLED TWO-PHASE MEDIUM
152
9.6.1 ENERGY ORIGIN OF OUTBURSTS 153
9.6.2 CRITICAL CONDITION FOR OUTBURST 155
9.6.3 SIMULATION EXPERIMENTS IN COAL SHOCK TUBE 156 REFERENCES 159
IMAGE 4
XVI CONTENTS
10 NORMALIZATION IN MATHEMATICAL SIMULATIONS 161
10.1 NORMALIZATION OF FUNCTIONS 161
10.2 NORMALIZATION OF ALGEBRAIC EQUATIONS 164
10.3 NORMALIZATION OF ORDINARY DIFFERENTIAL EQUATIONS 166 10.4
NORMALIZATION OF PARTIAL DIFFERENTIAL EQUATIONS 170
10.4.1 ONE-DIMENSIONAL HEAT CONDUCTION 171
10.4.2 BOUNDARY LAYER OF VISCOUS FLOWS 173
REFERENCES 179
INDEX 181 |
| any_adam_object | 1 |
| author | Tan, Qing-Ming |
| author_GND | (DE-588)1013288114 |
| author_facet | Tan, Qing-Ming |
| author_role | aut |
| author_sort | Tan, Qing-Ming |
| author_variant | q m t qmt |
| building | Verbundindex |
| bvnumber | BV039637844 |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)724845217 (DE-599)DNB1009641530 |
| dewey-full | 620.1 530.15 |
| dewey-hundreds | 600 - Technology (Applied sciences) 500 - Natural sciences and mathematics |
| dewey-ones | 620 - Engineering and allied operations 530 - Physics |
| dewey-raw | 620.1 530.15 |
| dewey-search | 620.1 530.15 |
| dewey-sort | 3620.1 |
| dewey-tens | 620 - Engineering and allied operations 530 - Physics |
| discipline | Maschinenbau / Maschinenwesen Physik Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-21T00:12:48Z |
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| isbn | 3642192335 9783642192333 |
| language | English |
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| physical | XVI, 186 S. graph. Darst. |
| publishDate | 2011 |
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| publishDateSort | 2011 |
| publisher | Springer |
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| spelling | Tan, Qing-Ming Verfasser (DE-588)1013288114 aut Dimensional analysis with case studies in mechanics Qing-Ming Tan Berlin [u.a.] Springer 2011 XVI, 186 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Weitere Ausgabe: Online-Ausg.: Dimensional Analysis Dimensionsanalyse (DE-588)4133116-3 gnd rswk-swf Dimensionsanalyse (DE-588)4133116-3 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-19234-0 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3654974&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=024487824&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tan, Qing-Ming Dimensional analysis with case studies in mechanics Dimensionsanalyse (DE-588)4133116-3 gnd |
| subject_GND | (DE-588)4133116-3 |
| title | Dimensional analysis with case studies in mechanics |
| title_auth | Dimensional analysis with case studies in mechanics |
| title_exact_search | Dimensional analysis with case studies in mechanics |
| title_full | Dimensional analysis with case studies in mechanics Qing-Ming Tan |
| title_fullStr | Dimensional analysis with case studies in mechanics Qing-Ming Tan |
| title_full_unstemmed | Dimensional analysis with case studies in mechanics Qing-Ming Tan |
| title_short | Dimensional analysis |
| title_sort | dimensional analysis with case studies in mechanics |
| title_sub | with case studies in mechanics |
| topic | Dimensionsanalyse (DE-588)4133116-3 gnd |
| topic_facet | Dimensionsanalyse |
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