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, 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.

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.

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.