Energy Transfers in Fluid Flows

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.

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.