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1987, ISBN: 9780387966854
[ED: Taschenbuch / Paperback], [PU: Springer, Berlin], AUSFÜHRLICHERE BESCHREIBUNG: "I do not think at all that I am able to present here any procedure of investiga tion that was not perceived long ago by all men of talent and I do not promise at all that you can find here anything_ quite new of this kind. But I shall take pains to state in clear words the pules and ways of investigation which are followed by ahle men, who in most cases are not even conscious of foZlow ing them. Although I am free from illusion that I shall fully succeed even in doing this, I still hope that the little that is present here may please some people and have some application afterwards. " Bernard Bolzano (Wissenschaftslehre, 1929) The following book results from aseries of lectures on the mathematical theory of turbulence delivered by the author at the Purdue University School of Aeronautics and Astronautics during the past several years, and represents, in fact, a comprehensive account of the author's work with his graduate students in this field. It was my aim in writing this book to give to engineers and scientists a mathematical feeling for a subject, which because of its nonlinear character has resisted mathematical analysis for many years. On account vii i of its refractory nature this subject was categorized as one of seven "elementary catastrophes". The material presented here is designed for a first graduate course in turbulence. The complete course has been taught in one semester. INHALT: Onset of Turbulence.- One -- Classical Concepts in Turbulence Modeling.- I. Turbulent Flow.- 1. Equations of Fluid Dynamics and Their Consequences.- 1.1 Reynolds' Averaging Technique.- 1.2 Equations of Fluid Dynamics.- 1.3 Equation of Kinetic Energy.- 1.4 Equation of Heat Conduction.- 2. Reynolds' Stresses.- 2.1 Physical and Geometrical Interpretation of Reynolds' Stresses.- 2.2 Eddies and Eddy Viscosity.- 2.3 Poiseui11e and Couette Flow.- 3. Length Theory.- 3.1 Prandtl's Mixing Length Theory.- 3.2 Mixing Length in Taylor's Sens.- 3.3 Betz's Interpretation of von Kármán's Similarity Hypothesis.- 4. Universal Velocity Distribution Law.- 4.1 Prandtl's Approach.- 4.2 von Kármán's Approach.- 4.3 Turbulent Pipe Flow with Porous Wall.- 5. The Turbulent Boundary Layer.- 5.1 Turbulent Flow Over a Solid Surface.- 5.2 Law of the Wall in Turbulent Channel Flow.- 5.3 Velocity Distribution in Transient Region of a Moving Viscous Turbulent Flow.- 5.4 A New Approach to the Turbulent Boundary Layer Theory Using Lumley's Extremum Principle.- Two -- Statistical Theories in Turbulence.- II. Fundamental Concepts.- 6. Stochastic Processes.- 6.1 General Remarks.- 6.2 Fundamental Concepts in Probability.- 6.3 Random Variables and Stochastic Processes.- 6.4 Weakly Stationary Processes.- 6.5 A Simple Formulation of the Covariance and Variance for Incompressible Flow.- 6.6 The Correlation and Spectral Tensors in Turbulence.- 6.7 Theory of Invariants.- 6.8 The Correlation of Derivatives of the Ve1ocity Components.- 7. Propagation of Correlations in Isotropic Incompressible Turbulent Flow.- 7.1 Equations of Motion.- 7.2 Vorticity Correlation and Vorticity Spectrum.- 7.3 Energy Spectrum Function.- 7.4 Three-Dimensional Spectrum Function.- III. Basic Theories.- 8. Kolmogoroff's Theories of Locally Isotropic Turbulence.- 8.1 Local Homogeneity and Local Isotropy.- 8.2 The First and the Second Moments of Quantities wi(xi).- 8.3 Hypotheses of Slmilarity.- 8.4 Propagation of Correlations in Locally Isotropic Flow.- 8.5 Remarks Concerning Kolmogoroff's Theory.- 9. Heisenberg's Theory of Turbulence.- 9.1 The Dynamical Equation for the Energy Spectrum.- 9.2 Heisenberg's Mechanism of Energy Transfer.- 9.3 von Weiszäcker's Form of the Spectrum.- 9.4 Objections to Heisenberg's Theory.- 10. Kraichnan's Theory of Turbulence.- 10.1 Burgers' Equation in Frequency Space.- 10.2 The Impulse Response Function.- 10.3 The Direct Interaction Approximation.- 10.4 Third Order Moments.- 10.5 Determination of Green's Function.- 10.6 Summary of Results of Burgers' Equation in Kraichnan's Sense.- 11. Application of Kraichnan's Method to Turbulent Flow.- 11.1 Derivation of Navier-Stokes Equation in Fourier Space.- 11.2 Impulse Response Function for Full Turbulent Representation.- 11.3 Formal Statement by Direct-Interaction Procedure.- 11.4 Application of the Direct-Interaction Approximation.- 11.5 Averaged Green's Function for the Navier-Stokes Equations.- 12. Hopf's Theory of Turbulence.- 12.1 Formulation of the Problem in Phase Space and the Characteristic Functional.- 12.2 The Functional Differential Equation for Phase Motion.- 12.3 Derivation of the ?-Equation.- 12.4 Elimination of Pressure Functional ? from the ?-Equation.- 12.5 Forms of the Correlation for n=l and n=2.- IV. Magnetohydrodynamic Turbulence.- 13. Magnetohydrodynamic Turbulence by Means of a Characteristic Functional.- 13.1 Formulation of the Problem in Phase Space.- 13.2 ?-Equations in Magnetohydrodynamic Turbulence.- 13.3 Correlation Equations.- 14. Wave-Number Space.- 14.1 Transformation to Wave-Number Space.- 14.2 The Spectrum Equations and Additional Conservati on Laws.- 14.3 Special Case of Isotropic Magnetohydrodynamic Turbulence.- 15. Stationary Solution for ?-Equations.- 15.1 Stationary Solution for the Case ?=?=O.- 15.2 Solution to the ?-Equations for Final Stages of Decay.- 16. Energy Spectrum.- 16.1 Energy Spectrum in the Equilibrium Range.- 16.2 Extension of Heisenberg's Theory in Magnetohydrodynam, [SC: 0.00], Neuware, gewerbliches Angebot, H: 235mm, B: 155mm, T: 25mm, [GW: 735g]
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ISBN: 9780387966854
ID: 659660693
Springer. Paperback. New. Paperback. 501 pages. Dimensions: 9.1in. x 6.1in. x 1.1in.I do not think at all that I am able to present here any procedure of investiga tion that was not perceived long ago by all men of talent; and I do not promise at all that you can find here anything quite new of this kind. But I shall take pains to state in clear words the pules and ways of investigation which are followed by ahle men, who in most cases are not even conscious of foZlow ing them. Although I am free from illusion that I shall fully succeed even in doing this, I still hope that the little that is present here may please some people and have some application afterwards. Bernard Bolzano (Wissenschaftslehre, 1929) The following book results from aseries of lectures on the mathematical theory of turbulence delivered by the author at the Purdue University School of Aeronautics and Astronautics during the past several years, and represents, in fact, a comprehensive account of the authors work with his graduate students in this field. It was my aim in writing this book to give to engineers and scientists a mathematical feeling for a subject, which because of its nonlinear character has resisted mathematical analysis for many years. On account vii i of its refractory nature this subject was categorized as one of seven elementary catastrophes. The material presented here is designed for a first graduate course in turbulence. The complete course has been taught in one semester. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN., Springer
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ISBN: 9780387966854
ID: 29edcc3e4d14c38e81efe4e8df00a3b2
"I do not think at all that I am able to present here any procedure of investiga tion that was not perceived long ago by all men of talent; and I do not promise at all that you can find here anything_ quite new of this kind. But I shall take pains to state in clear words the pules and ways of investigation which are followed by ahle men, who in most cases are not even conscious of foZlow ing them. Although I am free from illusion that I shall fully succeed even in doing this, I still hope that the little that is present here may please some people and have some application afterwards. " Bernard Bolzano (Wissenschaftslehre, 1929) The following book results from aseries of lectures on the mathematical theory of turbulence delivered by the author at the Purdue University School of Aeronautics and Astronautics during the past several years, and represents, in fact, a comprehensive account of the author's work with his graduate students in this field. It was my aim in writing this book to give to engineers and scientists a mathematical feeling for a subject, which because of its nonlinear character has resisted mathematical analysis for many years. On account vii i of its refractory nature this subject was categorized as one of seven "elementary catastrophes". The material presented here is designed for a first graduate course in turbulence. The complete course has been taught in one semester. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Physik & Astronomie / Mechanik & Akustik, [PU: Springer]
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ISBN: 9780387966854
[ED: Taschenbuch], [PU: Springer], Neuware - 'I do not think at all that I am able to present here any procedure of investiga tion that was not perceived long ago by all men of talent and I do not promise at all that you can find here anything_ quite new of this kind. But I shall take pains to state in clear words the pules and ways of investigation which are followed by ahle men, who in most cases are not even conscious of foZlow ing them. Although I am free from illusion that I shall fully succeed even in doing this, I still hope that the little that is present here may please some people and have some application afterwards. ' Bernard Bolzano (Wissenschaftslehre, 1929) The following book results from aseries of lectures on the mathematical theory of turbulence delivered by the author at the Purdue University School of Aeronautics and Astronautics during the past several years, and represents, in fact, a comprehensive account of the author's work with his graduate students in this field. It was my aim in writing this book to give to engineers and scientists a mathematical feeling for a subject, which because of its nonlinear character has resisted mathematical analysis for many years. On account vii i of its refractory nature this subject was categorized as one of seven 'elementary catastrophes'. The material presented here is designed for a first graduate course in turbulence. The complete course has been taught in one semester. -, [SC: 0.00], Neuware, gewerbliches Angebot, 235x155x28 mm, [GW: 783g]
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Title: | The Mathematical Theory of Turbulence (Universitext) |
ISBN: | 0387966854 |
Details of the book - The Mathematical Theory of Turbulence (Universitext)
EAN (ISBN-13): 9780387966854
ISBN (ISBN-10): 0387966854
Paperback
Publishing year: 2013
Publisher: Springer, Berlin
Book in our database since 25.10.2007 12:40:57
Book found last time on 02.02.2017 18:50:19
ISBN/EAN: 0387966854
ISBN - alternate spelling:
0-387-96685-4, 978-0-387-96685-4
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