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Energy Transfers in Fluid Flows

Energy Transfers in Fluid Flows
Multiscale and Spectral Perspectives

$155.00 (C)

  • Publication planned for: March 2019
  • availability: Not yet published - available from March 2019
  • format: Hardback
  • isbn: 9781107176195

$ 155.00 (C)
Hardback

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  • 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.

    • Discusses turbulence in different kinds of fluid flows, namely, fluids, magnetohydrodynamics, convection, and stratified and rotating flows
    • Includes numerical recipes for the computation of energy transfers, energy flux, shell-to-shell, and ring-to-ring energy transfers
    • Derives formulae to compute Kolmogorov's energy flux, shell-to-shell energy transfers and locality
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    Product details

    • Publication planned for: March 2019
    • format: Hardback
    • isbn: 9781107176195
    • dimensions: 244 x 170 mm
    • availability: Not yet published - available from March 2019
  • Table of Contents

    Preface
    Acknowledgement
    Dedication
    Part I:
    1. Introduction
    2. Basics of Hydrodynamics
    3. Fourier space description of hydrodynamics
    4. Energy transfers in hydrodynamic flows
    5. Energy spectrum and flux of 3D hydrodynamics
    6. Enstrophy transfers in hydrodynamics
    7. Two-dimensional turbulence
    8. Helical turbulence
    9. Craya-Herring and helical basis
    10. Field-theoretic treatment of energy transfers
    11. Energy transfers in anisotropic flows'
    12. Energy transfers in real space
    Part II:
    13. Energy transfers in passive scalar
    14. Stably stratified turbulence
    15. Thermal convection
    16. Rotating turbulence
    17. Magnetohydrodynamic turbulence: Formalism
    18. Magnetohydrodynamic turbulence: applications
    19. Magnetic Field Generation in MHD
    20. Energy transfers in compressible turbulence
    21. Shell modes of turbulence
    22. Miscellaneous applications of energy transfers
    Appendix A. Power lay physics
    Appendix B. Money or wealth transfers in economy
    Appendix C. Renormalization group analysis of hydrodynamic turbulence
    Notes
    References
    Subject Index.

  • Author

    Mahendra K. Verma, Indian Institute of Technology, Kanpur
    Mahendra K. Verma is currently working as Professor in the Department of Physics, Indian Institute of Technology, Kanpur. He has been an associate of the International Centre for Theoretical Physics (ICTP), Italy (2004–09), and a member of the Program Advisory Committee of Science and Engineering Research Board, India. He works in the broad area of turbulence and nonlinear dynamics, with specialization in magneto hydrodynamics, buoyancy-driven flows, dynamo, and high performance computing. He has been teaching undergraduate and graduate courses at the Indian Institutes of Technology, Kanpur for the past twenty-one years. He has designed and taught courses such as physics of turbulence, magneto hydrodynamics, atmospheric physics, nonlinear physics, computational physics, and introduction to high performance computing for scientists and engineers. He has published more than eighty papers in journals and conferences of national and international repute.

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