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Author Verma, Mahendra K., 1966- author.

Title Energy transfers in fluid flows : multiscale and spectral perspectives / Mahendra K. Verma
Published Cambridge ; New York, NY : Cambridge University Press, 2019


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
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
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (EBSCO ; viewed June 28, 2019)
Subject Energy transfer -- Textbooks
Fluid dynamics -- Textbooks
Multiphase flow -- Textbooks
Turbulence -- Mathematical models -- Textbooks
DinĂ¡mica de fluidos
Energy transfer
Fluid dynamics
Multiphase flow
Turbulence -- Mathematical models
Genre/Form Textbooks
Form Electronic book
ISBN 9781108226103