Energy transfers in fluid flows: multiscale and spectral perspectives
An up-to-date comprehensive text useful for graduate students and academic researchers in the field of energy transfers in fluid flows. The initial part of the text covers discussion on energy transfer formalism in hydrodynamics and the latter part covers applications including passive scalar, buoya...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York, NY
Cambridge University Press
2019
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| Subjects: | |
| Online Access: | BSB01 FHN01 UBA01 Volltext Cambridge University Press |
| Summary: | An up-to-date comprehensive text useful for graduate students and academic researchers in the field of energy transfers in fluid flows. The initial part of the text covers discussion on energy transfer formalism in hydrodynamics and the latter part covers applications including passive scalar, buoyancy driven flows, magnetohydrodynamic (MHD), dynamo, rotating flows and compressible flows. Energy transfers among large-scale modes play a critical role in nonlinear instabilities and pattern formation and is discussed comprehensively in the chapter on buoyancy-driven flows. It derives formulae to compute Kolmogorov's energy flux, shell-to-shell energy transfers and locality. The book discusses the concept of energy transfer formalism which helps in calculating anisotropic turbulence |
| Physical Description: | 1 online resource (1 volume) |
| ISBN: | 9781316810019 1108226108 |
| DOI: | 10.1017/9781316810019 |
Staff View
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| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 520 | 3 | |a An up-to-date comprehensive text useful for graduate students and academic researchers in the field of energy transfers in fluid flows. The initial part of the text covers discussion on energy transfer formalism in hydrodynamics and the latter part covers applications including passive scalar, buoyancy driven flows, magnetohydrodynamic (MHD), dynamo, rotating flows and compressible flows. Energy transfers among large-scale modes play a critical role in nonlinear instabilities and pattern formation and is discussed comprehensively in the chapter on buoyancy-driven flows. It derives formulae to compute Kolmogorov's energy flux, shell-to-shell energy transfers and locality. The book discusses the concept of energy transfer formalism which helps in calculating anisotropic turbulence | |
| 653 | 0 | |a Energy transfer / Textbooks | |
| 653 | 0 | |a Fluid dynamics / Textbooks | |
| 653 | 0 | |a Multiphase flow / Textbooks | |
| 653 | 0 | |a Turbulence / Mathematical models / Textbooks | |
| 653 | 0 | |a Energy transfer | |
| 653 | 0 | |a Fluid dynamics | |
| 653 | 0 | |a Multiphase flow | |
| 653 | 0 | |a Turbulence / Mathematical models | |
| 653 | 6 | |a Electronic books | |
| 653 | 6 | |a Electronic books | |
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Record in the Search Index
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| any_adam_object | |
| author | Verma, Mahendra K. 1966- |
| author_GND | (DE-588)1165899922 |
| author_facet | Verma, Mahendra K. 1966- |
| author_role | aut |
| author_sort | Verma, Mahendra K. 1966- |
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| bvnumber | BV046082918 |
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| 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 |
| ctrlnum | (ZDB-20-CBO)CR9781316810019 (OCoLC)1111888277 (DE-599)BVBBV046082918 |
| doi_str_mv | 10.1017/9781316810019 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T08:34:43Z |
| institution | BVB |
| isbn | 9781316810019 1108226108 |
| language | English |
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| spelling | Verma, Mahendra K. 1966- Verfasser (DE-588)1165899922 aut Energy transfers in fluid flows multiscale and spectral perspectives Mahendra K. Verma Cambridge ; New York, NY Cambridge University Press 2019 1 online resource (1 volume) txt rdacontent c rdamedia cr rdacarrier 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 An up-to-date comprehensive text useful for graduate students and academic researchers in the field of energy transfers in fluid flows. The initial part of the text covers discussion on energy transfer formalism in hydrodynamics and the latter part covers applications including passive scalar, buoyancy driven flows, magnetohydrodynamic (MHD), dynamo, rotating flows and compressible flows. Energy transfers among large-scale modes play a critical role in nonlinear instabilities and pattern formation and is discussed comprehensively in the chapter on buoyancy-driven flows. It derives formulae to compute Kolmogorov's energy flux, shell-to-shell energy transfers and locality. The book discusses the concept of energy transfer formalism which helps in calculating anisotropic turbulence Energy transfer / Textbooks Fluid dynamics / Textbooks Multiphase flow / Textbooks Turbulence / Mathematical models / Textbooks Energy transfer Fluid dynamics Multiphase flow Turbulence / Mathematical models Electronic books Textbooks Erscheint auch als Druck-Ausgabe, hardback Erscheint auch als Druck-Ausgabe, paperback https://doi.org/10.1017/9781316810019 Verlag URL des Erstveröffentlichers Volltext https://doi.org/10.1017/9781316810019 Cambridge University Press |
| spellingShingle | Verma, Mahendra K. 1966- Energy transfers in fluid flows multiscale and spectral perspectives 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 |
| title | Energy transfers in fluid flows multiscale and spectral perspectives |
| title_auth | Energy transfers in fluid flows multiscale and spectral perspectives |
| title_exact_search | Energy transfers in fluid flows multiscale and spectral perspectives |
| title_full | Energy transfers in fluid flows multiscale and spectral perspectives Mahendra K. Verma |
| title_fullStr | Energy transfers in fluid flows multiscale and spectral perspectives Mahendra K. Verma |
| title_full_unstemmed | Energy transfers in fluid flows multiscale and spectral perspectives Mahendra K. Verma |
| title_short | Energy transfers in fluid flows |
| title_sort | energy transfers in fluid flows multiscale and spectral perspectives |
| title_sub | multiscale and spectral perspectives |
| url | https://doi.org/10.1017/9781316810019 |
| work_keys_str_mv | AT vermamahendrak energytransfersinfluidflowsmultiscaleandspectralperspectives |