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About the Author; Preface; Acknowledgments; About This Document; Contents; Chapter 1: Principles of the Dimensional Analysis; 1.1 Introduction; Units of Force and Mass; 1.2 Dimensional Analysis and Scaling Concept; 1.2.1 Fractal Dimension; 1.3 Scaling Analysis and Modeling; 1.4 Mathematical Basis for Scaling Analysis; Lie Group; 1.5 Dimensions, Dimensional Homogeneity, and Independent Dimensions; 1.6 Basics of Buckinghamś pi (Pi) Theorem; Theory; 1.6.1 Some Examples of Buckinghamś pi (Pi) Theorem; 1.7 Oscillations of a Star; 1.8 Gravity Waves on Water.
1.9 Dimensional Analysis Correlation for Cooking a Turkey1.10 Energy in a Nuclear Explosion; The Method of Least Squares; 1.10.1 The Basic Scaling Argument in a Nuclear Explosion; Derivation of Eq. 1.25; 1.10.2 Calculating the Differential Equations of Expanding Gas of Nuclear Explosion; 1.10.3 Solving the Differential Equations of Expanding Gas of Nuclear Explosion; 1.11 Energy in a High Intense Implosion; Note; 1.12 Similarity and Estimating; 1.13 Self-Similarity; Blasius Boundary Layer; 1.14 General Results of Similarity; 1.14.1 Principles of Similarity; 1.15 Scaling Argument.
1.16 Self-Similar Solutions of the First and Second KindNote; 1.17 Conclusion; References; Chapter 2: Dimensional Analysis: Similarity and Self-Similarity; 2.1 Lagrangian and Eulerian Coordinate Systems; 2.1.1 Arbitrary Lagrangian-Eulerian (ALE) Systems; 2.2 Similar and Self-Similar Definitions; 2.3 Compressible and Incompressible Flows; 2.3.1 Limiting Condition for Compressibility; 2.4 Mathematical and Thermodynamic Aspect of Gas Dynamics; 2.4.1 First Law of Thermodynamics; 2.4.2 The Concept of Enthalpy; 2.4.3 Specific Heats; 2.4.4 Speed of Sound; 2.4.5 Temperature Rise.
2.4.6 The Second Law of Thermodynamics2.4.7 The Concept of Entropy; 2.4.8 Gas Dynamics Equations in Integral Form; 2.4.9 Gas Dynamics Equations in Differential Form; 2.4.10 Perfect Gas Equation of State; 2.5 Unsteady Motion of Continuous Media and Self-Similarity Methods; 2.5.1 Fundamental Equations of Gas Dynamics in the Eulerian Form; 2.5.2 Fundamental Equations of Gas Dynamics in the Lagrangian Form; 2.6 Study of Shock Waves and Normal Shock Waves; 2.6.1 Shock Diffraction and Reflection Processes; References; Chapter 3: Shock Wave and High-Pressure Phenomena.
3.1 Introduction to Blast Waves and Shock Waves3.2 Self-Similarity and Sedov-Taylor Problem; 3.3 Self-Similarity and Guderley Problem; 3.4 Physics of Nuclear Device Explosion; 3.4.1 Little Boy Uranium Bomb; 3.4.2 Fat Man Plutonium Bomb; 3.4.3 Problem of Implosion and Explosion; 3.4.4 Critical Mass and Neutron Initiator for Nuclear Devices; 3.5 Physics of Thermonuclear Explosion; 3.6 Nuclear Isomer and Self-Similar Approaches; 3.7 Pellet Implosion-Driven Fusion Energy and Self-Similar Approaches; 3.7.1 Linear Stability of Self-Similar Flow in D-T Pellet Implosion.
1.9 Dimensional Analysis Correlation for Cooking a Turkey1.10 Energy in a Nuclear Explosion; The Method of Least Squares; 1.10.1 The Basic Scaling Argument in a Nuclear Explosion; Derivation of Eq. 1.25; 1.10.2 Calculating the Differential Equations of Expanding Gas of Nuclear Explosion; 1.10.3 Solving the Differential Equations of Expanding Gas of Nuclear Explosion; 1.11 Energy in a High Intense Implosion; Note; 1.12 Similarity and Estimating; 1.13 Self-Similarity; Blasius Boundary Layer; 1.14 General Results of Similarity; 1.14.1 Principles of Similarity; 1.15 Scaling Argument.
1.16 Self-Similar Solutions of the First and Second KindNote; 1.17 Conclusion; References; Chapter 2: Dimensional Analysis: Similarity and Self-Similarity; 2.1 Lagrangian and Eulerian Coordinate Systems; 2.1.1 Arbitrary Lagrangian-Eulerian (ALE) Systems; 2.2 Similar and Self-Similar Definitions; 2.3 Compressible and Incompressible Flows; 2.3.1 Limiting Condition for Compressibility; 2.4 Mathematical and Thermodynamic Aspect of Gas Dynamics; 2.4.1 First Law of Thermodynamics; 2.4.2 The Concept of Enthalpy; 2.4.3 Specific Heats; 2.4.4 Speed of Sound; 2.4.5 Temperature Rise.
2.4.6 The Second Law of Thermodynamics2.4.7 The Concept of Entropy; 2.4.8 Gas Dynamics Equations in Integral Form; 2.4.9 Gas Dynamics Equations in Differential Form; 2.4.10 Perfect Gas Equation of State; 2.5 Unsteady Motion of Continuous Media and Self-Similarity Methods; 2.5.1 Fundamental Equations of Gas Dynamics in the Eulerian Form; 2.5.2 Fundamental Equations of Gas Dynamics in the Lagrangian Form; 2.6 Study of Shock Waves and Normal Shock Waves; 2.6.1 Shock Diffraction and Reflection Processes; References; Chapter 3: Shock Wave and High-Pressure Phenomena.
3.1 Introduction to Blast Waves and Shock Waves3.2 Self-Similarity and Sedov-Taylor Problem; 3.3 Self-Similarity and Guderley Problem; 3.4 Physics of Nuclear Device Explosion; 3.4.1 Little Boy Uranium Bomb; 3.4.2 Fat Man Plutonium Bomb; 3.4.3 Problem of Implosion and Explosion; 3.4.4 Critical Mass and Neutron Initiator for Nuclear Devices; 3.5 Physics of Thermonuclear Explosion; 3.6 Nuclear Isomer and Self-Similar Approaches; 3.7 Pellet Implosion-Driven Fusion Energy and Self-Similar Approaches; 3.7.1 Linear Stability of Self-Similar Flow in D-T Pellet Implosion.