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Dimensional Analysis: With Case Studies in Mechanics [Kõva köide]

  • Formaat: Hardback, 186 pages, kõrgus x laius: 235x155 mm, kaal: 477 g, XVI, 186 p., 1 Hardback
  • Ilmumisaeg: 08-Jun-2011
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3642192335
  • ISBN-13: 9783642192333
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Dimensional Analysis: With Case Studies in MechanicsSuurem pilt
  • Formaat: Hardback, 186 pages, kõrgus x laius: 235x155 mm, kaal: 477 g, XVI, 186 p., 1 Hardback
  • Ilmumisaeg: 08-Jun-2011
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3642192335
  • ISBN-13: 9783642192333
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783642192333.html
Märksõnad:
Beginning with the Pi Theorem, the theoretical basis of dimensional analysis, this book offers many examples of dimensional analysis in various branches of mechanics. Includes findings of the author's research group on explosion mechanics and impact dynamics.

Dimensional analysis is an essential scientific method and a powerful tool for solving problems in physics and engineering. This book starts by introducing the Pi Theorem, which is the theoretical foundation of dimensional analysis. It also provides ample and detailed examples of how dimensional analysis is applied to solving problems in various branches of mechanics. The book covers the extensive findings on explosion mechanics and impact dynamics contributed by the author's research group over the past forty years at the Chinese Academy of Sciences.The book is intended for research scientists and engineers working in the fields of physics and engineering, as well as graduate students and advanced undergraduates of the related fields. Qing-Ming Tan is a former Professor at the Institute of Mechanics, the Chinese Academy of Sciences, China.Qing-Ming Tan is a former Professor at the Institute of Mechanics, the Chinese Academy of Sciences, China.

Arvustused

From the reviews:

The reader is attracted by the variety of technological problems treatable with dimensional analysis, like resistance of ships, lubrication, water waves, deflections of beams, fracture, explosions, blasting and jets. Another merit of the book is that of the correct formulation of the mathematical versions of the problems considered. recommended to specialists or to students. (Piero Villaggio, Zentralblatt MATH, Vol. 1233, 2012)

1 Introduction
1(6)
1.1 Preliminary Approaches
1(1)
1.2 Dimension
1(1)
1.3 Quantities: Dimensional, Dimensionless, Fundamental, and Derived
2(1)
1.4 Measurement of Physical Quantities
3(1)
1.5 The Simple Pendulum
4(1)
1.6 Essential Principles
5(2)
2 Fundamental Principles of Dimensional Analysis
7(10)
2.1 Power Law Formula for Dimension of Physical Quantity
7(3)
2.2 The Pi Theorem
10(2)
2.3 Selection of Fundamental Quantities
12(2)
2.4 Similarity Laws
14(1)
2.5 Applying the Pi Theorem
15(2)
References
16(1)
3 Problems in Fluid Mechanics
17(32)
3.1 Typical Flows
17(24)
3.1.1 Overflow
17(1)
3.1.2 Friction Drag for Flows in Tubes
18(3)
3.1.3 Velocity Profile of Viscous Flow in Cylindrical Tubes
21(4)
3.1.4 Flows Past a Body
25(2)
3.1.5 Resistance Related to Ships
27(2)
3.1.6 Lubrication of Bearings
29(3)
3.1.7 Water Waves
32(2)
3.1.8 De Laval Nozzle
34(2)
3.1.9 High Velocity Flow Past a Thin Aerofoil
36(3)
3.1.10 Centrifugal Compressors
39(2)
3.2 Similarity Criterion Numbers for Hydrodynamic Problems
41(3)
3.3 Additional Similarity Criterion Numbers
44(2)
3.4 Classification of Fluid Flow
46(3)
References
47(2)
4 Problems in Solid Mechanics
49(32)
4.1 Stress Analysis for Elastic Bodies and Stability Analysis for Simple Structures
49(10)
4.1.1 Deflection of Beams
49(2)
4.1.2 Deformation and Stress in Three-Dimensional Elastic Bodies
51(3)
4.1.3 Application of Centrifugal Machine to Modeling Gravity Effect
54(2)
4.1.4 Photoelastic Experiments
56(2)
4.1.5 Critical Loading for Instability of Columns Under Compression
58(1)
4.2 Vibration and Wave Motion of Elastic Bodies
59(6)
4.2.1 Inherent Vibration of Finite Elastic Bodies
60(1)
4.2.2 Forced Vibration of Elastic Bodies
60(1)
4.2.3 Wave Velocity of Body Waves and Surface Waves in Elastic Bodies and Wave Dispersion in Elastic Waveguides
61(4)
4.3 Stress Analysis of Elasto-Plastic Bodies
65(10)
4.3.1 Static Tension of Cylindrical Rods
65(2)
4.3.2 Modeling Stress Distribution in Elasto-Plastic Bodies
67(1)
4.3.3 Modeling Cold-Rolled Steel Plates
68(2)
4.3.4 Hardness
70(5)
4.4 Tensile Fracture of Solids
75(6)
References
79(2)
5 Heat Conduction and Thermal Stress in Solids
81(12)
5.1 Heat Conduction in Solids
81(6)
5.1.1 Heat Conduction for Prescribed Boundary Temperatures
82(3)
5.1.2 Heat Conduction for Prescribed Temperature Gradient at Boundary
85(2)
5.2 Thermal Stress in Elastic Bodies
87(6)
5.2.1 Thermal Elastic Constitutive Relationship
88(2)
5.2.2 Thermal Stress in Solids
90(2)
References
92(1)
6 Problems of Coupling Fluid Motion and Solid Deformation
93(10)
6.1 Water Hammers
93(4)
6.1.1 Wave Velocity of Pressure Waves
93(3)
6.1.2 Intensity of Water Hammer
96(1)
6.2 Elastic Bearings with Liquid Lubricant
97(2)
6.3 Fluttering of Airfoils
99(1)
6.4 Vortex-Excited Vibration in Heat Exchangers
100(3)
7 Hydro-Elasto-Plastic Modeling
103(6)
7.1 Hydro-Elasto-Plastic Model
103(4)
7.2 Similarity Parameters in Problems Related to Chemical Explosions
107(1)
7.3 Similarity Parameters in Problems Related to High Velocity Impact
107(2)
Reference
108(1)
8 Similarity Laws for Explosions
109(30)
8.1 Explosion Waves in Air and Water
110(10)
8.1.1 Explosion Waves in Air
110(2)
8.1.2 Explosion Waves in Water
112(2)
8.1.3 Intense Explosion of Point Source
114(6)
8.2 Explosive Working
120(8)
8.2.1 Explosive Forming
120(4)
8.2.2 Explosive Welding
124(4)
8.3 Blasting
128(11)
8.3.1 Boleskov (Boeckob) Formula for Blasting Using the Concentrated Charge Scheme
129(2)
8.3.2 Excavation Blasting for Trenches or Tunnels
131(1)
8.3.3 Directed Ejection Blasting of Planar Charge
132(5)
References
137(2)
9 Similarity Laws for High Velocity Impacts
139(22)
9.1 Rod Projectiles
139(2)
9.2 Formation of High Velocity Jet and Jet Penetration into Target
141(5)
9.3 Spallation of Armor Induced by Explosions
146(1)
9.4 Hypervelocity Impacts
147(2)
9.5 High Velocity Extension Fracture of Metallic Jets and Plates
149(3)
9.6 Coal and Gas Outburst Phenomenon Related to Coupled Two-Phase Medium
152(9)
9.6.1 Energy Origin of Outbursts
153(2)
9.6.2 Critical Condition for Outburst
155(1)
9.6.3 Simulation Experiments in Coal Shock Tube
156(3)
References
159(2)
10 Normalization in Mathematical Simulations
161(20)
10.1 Normalization of Functions
161(3)
10.2 Normalization of Algebraic Equations
164(2)
10.3 Normalization of Ordinary Differential Equations
166(4)
10.4 Normalization of Partial Differential Equations
170(11)
10.4.1 One-Dimensional Heat Conduction
171(2)
10.4.2 Boundary Layer of Viscous Flows
173(6)
References
179(2)
Index 181