Dimensional Analysis

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Dimensional Analysis / J. C. Gibbings, Mark Priestley

資料種別:

電子ブック

出版情報:

SpringerLink Books - AutoHoldings
Springer London, 2011

著者名:

ISBN:

9781849963169 [1849963169]
9786613086372 [6613086371]
9781447157007 [1447157001]

書誌ID:

OB00492193

子書誌情報

フルテキスト

所蔵情報

書誌詳細

言語:

英語

目次情報:

An Elementary Introduction / 1：

Notation

The Purpose of this Chapter / 1.1：

Units and Dimensions / 1.2：

Units-conversion Factors / 1.3：

Dimensional System / 1.4：

Synthesis of Experimental Data / 1.5：

Comparison of Results / 1.6：

Re-ordered Functions / 1.7：

Preliminary General Analysis / 1.8：

Fluid-mechanic Force on a Body / 1.9：

Benefits of Dimensional Analysis / 1.10：

References

Concepts, Dimensions and Units / 2：

Summary of Basic Logic / 2.1：

The Definition of Concepts / 2.2：

The Definition of Primary Physical Concepts / 2.3：

The Definition of Time / 2.4：

The Definition of Force / 2.5：

The Definition of Quantity / 2.6：

Summary of Primary Concepts / 2.7：

Constant Relative Magnitude / 2.8：

Dimensional Equality / 2.9：

Units-conversion factors / 2.10：

Products of Concepts / 2.11：

Dimensional Equality in Functional Relations / 2.12：

Limitation to Functional Operations / 2.13：

The Complete Equation / 2.14：

Derived Concepts and Their Measure / 2.15：

Dimensions of Units-conversion Factors / 2.16：

The Inclusion of Units-conversion Factors / 2.17：

Formation of Dimensionless Groups from units-conversion Factors / 2.18：

Summarising Comments / 2.19：

The Pi-Theroem / 3：

The Outline from of the Therom / 3.1：

The Basic outcome / 3.2：

The Generalised Pi-theorem / 3.3：

Illustrative Examples / 3.4：

Liner Mass Oscillation / 3.4.1：

Non-linear Mass Oscillation / 3.4.2：

Impact of a Jet / 3.4.3：

Electromagnetic Field Energy / 3.4.4：

Heat Exchanger

Prior Proofs of the Pi- theorem / 3.5：

The Careful Choice of Variables / 3.6：

The Necessity for a Units-conversion Factor for Angle / 3.7：

General Results from the Pi-theorem / 3.8：

The Development of Dimensional Analysis / 3.9：

The Case for the History of Dimensional Analysis / 4.1：

The Onset of Similitude / 4.2：

The Onset of Dimensional Analysis / 4.3：

The Developing Use of the Pi-theorem / 4.4：

The Place of Dimensional Analysis / 4.5：

The Reynolds Pipe-Flow Experiment / Appendix 4.1：

The Choice of Dimensions / 5：

Care in Choosing Dimensions / 5.1：

The Number of Non-dimensional Groups / 5.2：

Mass and Force Dimensions / 5.3：

Mass and Volume Dimensions / 5.4：

Temperature and Quantity Dimensions / 5.5：

Mass and Quantity Dimensions / 5.6：

The Angle Dimension / 5.7：

Electrical Dimensions / 5.8：

Use of Vectorial Dimensions / 5.9：

Concluding Comments / 5.10：

Supplementation of Derivations / 6：

Information from the Physics / 6.1：

The Bending of a Beam / 6.2：

Planetary Motion / 6.3：

Extrapolated Solutions / 6.4：

Uncoupled Equations / 6.5：

Forced Convention of Thermal Energy / 6.6：

Compressible-flow Energy Transfer / 6.6.1：

In Compressible-flow Energy Transfer / 6.6.2：

The Rayleigh-Riabouchinsky Problem / 6.7：

Natural Thermal Conversion / 6.8：

Systematic Experiment / 6.9：

The Benefits of Dimensional Analysis / 7.1：

Reduction of Variables / 7.2：

Further Reduction of Non-dimensional Groups / 7.3：

Alternate Dependent Variables / 7.4：

Parameter Variation / 7.5：

Range of Application / 7.6：

Superfluous Variables / 7.7：

Missing Variables / 7.8：

Influence of Variables / 7.9：

Measurement Limitation / 7.10：

Effectiveness of Experimental Variables / 7.11：

The Validity Criterion / 7.12：

Analytical Results / 7.13：

Analytical Results from Dimensional Analysis / 8.1：

Example I: Flow Turbulence / 8.2：

The Complexity of Flow Turbulence / 8.3：

The Physics of Turbulence / 8.4：

The Turbulent-Power Law / 8.5：

Prandtl's Mixing Length / 8.6：

The Log-law / 8.7：

Jet Flow / 8.8：

An Elementary Introduction / 1：

Notation

The Purpose of this Chapter / 1.1：

Units and Dimensions / 1.2：

Units-conversion Factors / 1.3：

Dimensional System / 1.4：

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