Preface; Contents; Symbols; 1 Some Fundamentals of Dimensional Analysis; 1.1 Some Preliminary Remarks; 1.2 Terms and Definitions; 1.2.1 Physical Quantities; 1.2.2 Entities, Base Quantities, Derived Quantities and Quantity System; 1.2.3 Dimension, Dimensional Formula and Bridgman Equation; 1.2.4 Units, Unit System and Unit of Measurement; 1.2.5 Change of the Unit System; 1.2.6 Physical Equations and Dimensional Constants; 1.3 Buckingham-Theorem (Pi-Theorem); 1.4 Choice of the Base System; 1.4.1 The [LMFT]-System; 1.4.2 The [LMT\varTheta]-System; 2 Model Theory; 2.1 General Model Theory

2.2 Complete Similarity2.3 Incomplete Similarity; 3 Illustrative Examples; 3.1 Examples from Mechanics; 3.1.1 Large Elastic Deformations; 3.1.2 Small Elastic Deformations; 3.1.3 Deformation of an Elastic Beam; 3.1.4 Critical Load and Buckling of a Beam; 3.1.5 Natural Frequency of an Elastic Rod; 3.2 Examples from Fluid Mechanics; 3.2.1 Surface Waves; 3.2.2 Ship Waves; 3.2.3 Chimney Flow; 3.2.4 Hydraulic Machines; 3.3 Examples from Thermodynamics; 3.3.1 Thermal Equation of State for Ideal Gases; 3.3.2 Strong Explosion; 3.3.3 Unsteady Heat Transfer; 3.4 Examples from Nature

3.4.1 The Dynamics of Planetary Rings3.4.2 The Flight Velocity of Birds; 3.4.3 The Run-off from a Watershed; 3.5 Examples from Classical Electrodynamics; 3.5.1 The Governing Equations; 3.5.2 Electrodynamic Quantities in the SI-Unit-System; 3.5.3 Implication of the SI-Unit-System; 3.5.4 Electrical Circuits; 4 Similarity Solutions; 4.1 Transient Temperature Distribution in a Semi-infinite Body; 4.2 Flow Along a Stretched Sheet; 4.3 Natural Convection Along a Vertical Plate; 4.4 Natural Convection Along a Horizontal Cylinder; 4.5 Laminar Free Jet; 4.6 Laminar Buoyant Jet

Appendix A: Selected ProblemsAppendix B: Solutions to the Problems; References; Index