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## Details

Genre/Form: | Electronic books Textbooks |
---|---|

Additional Physical Format: | Print version: Verma, Mahendra K., 1966- Energy transfers in fluid flows. Cambridge ; New York, NY : Cambridge University Press, 2019 (OCoLC)1051676954 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Mahendra K Verma |

ISBN: | 9781108226103 1108226108 |

OCLC Number: | 1105988954 |

Description: | 1 online resource (1 volume) |

Contents: | Cover; Energy Transfers in Fluid Flows; Title; Copyright; Dedication; Contents; Preface; Acknowledgments; Part I FORMALISM OF ENERGY TRANSFERS; Chapter 1 Introduction; 1.1 A Generic Nonlinear Equation; 1.2 Outline of the Book; Chapter 2 Basics of Hydrodynamics; 2.1 Governing Equations of Incompressible Flows; 2.2 Vorticity and its Equation; 2.3 Quadratic Quantities in Hydrodynamics; 2.4 Conservation Laws in Hydrodynamics; Further Reading; Exercises; Chapter 3 Fourier Space Description of Hydrodynamics; 3.1 Fourier Transform and its Properties; 3.2 Flow Equations in Fourier Space 3.3 Vorticity, Kinetic Helicity, and EnstrophyFurther Reading; Exercises; Chapter 4 Energy Transfers in Hydrodynamic Flows; 4.1 ModetomodeEnergy Transfers in Hydrodynamics; 4.1.1 A physical argument; 4.1.2 A mathematical argument based on tensor analysis; 4.2 Energy Transfers in the Presence of Many Triads; 4.3 Energy Transfers and Equations of Motion for a Twodimensional Flow; 4.4 Spectral Energy Flux; 4.5 Variable Energy Flux; 4.6 Equivalence between Various Formulas of Energy Flux; 4.7 ShelltoshellEnergy Transfers; 4.8 Turbulent Energy Flux and Arrow of Time 4.9 Spectral Decomposition, Energy Transfers, and Amplitude Equations4.10 Numerical Simulations Using Spectral Method; 4.11 Computation of Energy Transfers Using Data; Further Reading; Exercises; Chapter 5 Energy Spectrum and Flux of 3D Hydrodynamics; 5.1 Kolmogorov's Theory for 3D Hydrodynamic Turbulence in Spectral Space; 5.2 Insights from Kolmogorov's Theory of Turbulence; 5.3 Numerical Verification of Kolmogorov's Theory; 5.4 Limitations of Kolmogorov's Theory of Turbulence; 5.5 Energy Spectrum of Turbulent Flow in the Dissipative Regime 6.5 ShelltoshellEnstrophy Transfer6.6 Numerical Results on Enstrophy Fluxes; Further Reading; Exercises; Chapter 7 Two-dimensional Turbulence; 7.1 Conservation Laws; Energy and Enstrophy Transfers in 2D Hydrodynamics; 7.2 Kraichnan's Theory for 2D Hydrodynamic Turbulence; 7.3 Subtleties in Energy and Enstrophy Fluxes; 7.4 Verification of 2D Hydrodynamic Turbulence Models Using Numerical Simulations; Further Reading; Exercises; Chapter 8 Helical Turbulence; 8.1 ModetomodeKinetic Helicity Transfers in Hydrodynamics; 8.2 Flux and ShelltoshellTransfers of Kinetic Helicity |

Responsibility: | Mahendra K. Verma. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

'This book is an outcome of the author's life-long obsession with the mechanism of energy transfers in turbulent flows.' Jayant Bhattacharjee, Indian Association for the Cultivation of Science 'Nicely organized in parts devoted to increasingly complex flows, it is a perfect book to explore the theoretical description of Navier-Stokes turbulence as well as flows with scalars, vectors and more exotic systems.' Daniele Carati, Universite Libre de Bruxelles 'This comprehensive book discusses an impressive array of applications from a unified point of view.' Arnab Rai Choudhuri, Indian Institute of Science 'The monograph will be an invaluable resource to students and researchers interested in the application of energy transfer theory to fluids and magnetofluids.' Melvyn Goldstein, NASA 'This book is an outstanding achievement whose many examples and illustrations make the reading as fluid as the subject matter.' Franck Plunian, Universite Grenoble Alpes 'It is a self-contained monograph which will certainly be of direct use to a large audience, from graduate students to scholars and researchers.' Annick Pouquet, University of Colorado, Boulder 'This book, addressed to graduate students and researchers, covers vast areas of fluid dynamics and presents each domain in a precise manner.' Maurice Rossi, Universite Pierre et Marie Curie, Paris 'This monograph clearly articulates the multiscale energy transfer perspectives for turbulent flows, advanced prominently by the author and his co-workers.' K. R. Sreenivasan, New York University 'This impressive monograph will serve as a highly valuable reference to researchers in turbulence and other fields for many years to come.' P. K. Yeung, Georgia Institute of Technology 'This book is an outcome of the author's life-long obsession with the mechanism of energy transfers in turbulent flows.' Jayant Bhattacharjee, Indian Association for the Cultivation of Science 'Nicely organized in parts devoted to increasingly complex flows, it is a perfect book to explore the theoretical description of Navier-Stokes turbulence as well as flows with scalars, vectors and more exotic systems.' Daniele Carati, Universite Libre de Bruxelles 'This comprehensive book discusses an impressive array of applications from a unified point of view.' Arnab Rai Choudhuri, Indian Institute of Science 'The monograph will be an invaluable resource to students and researchers interested in the application of energy transfer theory to fluids and magnetofluids.' Melvyn Goldstein, NASA 'This book is an outstanding achievement whose many examples and illustrations make the reading as fluid as the subject matter.' Franck Plunian, Universite Grenoble Alpes 'It is a self-contained monograph which will certainly be of direct use to a large audience, from graduate students to scholars and researchers.' Annick Pouquet, University of Colorado, Boulder 'This book, addressed to graduate students and researchers, covers vast areas of fluid dynamics and presents each domain in a precise manner.' Maurice Rossi, Universite Pierre et Marie Curie, Paris 'This monograph clearly articulates the multiscale energy transfer perspectives for turbulent flows, advanced prominently by the author and his co-workers.' K. R. Sreenivasan, New York University 'This impressive monograph will serve as a highly valuable reference to researchers in turbulence and other fields for many years to come.' P. K. Yeung, Georgia Institute of Technology Read more...

*User-contributed reviews*