Verma, Mahendra K.

Energy transfers in fluid flows : multiscale and spectral perspectives - Cambridge University Press, Cambridge, U.K.: [c2019] - 541 p.

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.

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.---summary provided by publisher

9781107176195

QC73.8