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020			_a3319457268 _q(ebk)
020			_a9783319457260
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050		4	_aTA347.D5 _bZ648 2017 EB
100	1		_aZohuri, Bahman.
245	1	0	_aDimensional analysis beyond the pi theorem _cBahman Zohuri
264		1	_aCham, Switzerland _bSpringer _c[2017]
300			_a1 recurso en línea
336			_aTexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_atext file _bPDF _2rda
500			_aSpringerLink _bSpringer Engineering eBooks 2017 English+International
504			_aIncluye referencias bibliográficas e índice
505	0		_aAbout 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.
505	8		_a1.16 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.
505	8		_a1.9 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.
505	8		_a2.4.6 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.
505	8		_a3.1 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.
520	3		_aDimensional Analysis and Physical Similarity are well understood subjects, and the general concepts of dynamical similarity are explained in this book. Our exposition is essentially different from those available in the literature, although it follows the general ideas known as Pi Theorem. There are many excellent books that one can refer to; however, dimensional analysis goes beyond Pi theorem, which is also known as Buckingham's Pi Theorem. Many techniques via self-similar solutions can bound solutions to problems that seem intractable. A time-developing phenomenon is called self-similar if the spatial distributions of its properties at different points in time can be obtained from one another by a similarity transformation, and identifying one of the independent variables as time. However, this is where Dimensional Analysis goes beyond Pi Theorem into self-similarity, which has represented progress for researchers. In recent years there has been a surge of interest in self-similar solutions of the First and Second kind. Such solutions are not newly discovered; they have been identified and named by Zel'dovich, a famous Russian Mathematician in 1956. They have been used in the context of a variety of problems, such as shock waves in gas dynamics, and filtration through elasto-plastic materials. Self-Similarity has simplified computations and the representation of the properties of phenomena under investigation. It handles experimental data, reduces what would be a random cloud of empirical points to lie on a single curve or surface, and constructs procedures that are self-similar. Variables can be specifically chosen for the calculations.
650		7	_aFísica matemática _2embne _0(OCoLC)fst00893849 _0 _9139231
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=http://link.springer.com/10.1007/978-3-319-45726-0 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
988			_aEBOOK, asignarmaterias, EBSPRINGER_2017C
998			_b02/2018 _dz _e- _zSI
999			_c95596 _d95596 _x1