Holdings: Dimensional analysis

Dimensional analysis: with case studies in mechanics

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Bibliographic Details
Main Author:	Tan, Qing-Ming (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2011
Subjects:	Dimensionsanalyse
Online Access:	Inhaltstext Inhaltsverzeichnis
Item Description:	Weitere Ausgabe: Online-Ausg.: Dimensional Analysis
Physical Description:	XVI, 186 S. graph. Darst.
ISBN:	3642192335 9783642192333

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MARC


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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
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author	Tan, Qing-Ming
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discipline	Maschinenbau / Maschinenwesen Physik Mathematik
format	Book
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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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