NPTEL course link: https://nptel.ac.in/courses/115/104/115104112/
The video lectures are available in you-tube here.
Introduction; Basic equations of hydrodynamics in real space; Conservation laws
Fourier Space Description of Hydrodynamics; Craya-Herring basis
Instabilities; Saturation of nonlinearity; Patterns
Energy transfers in fluid flows
Kolmogorov’s theory of turbulence (in Fourier space)
Kolmogorov’s theory of turbulence (in real space)
Enstrophy; Two-dimensional turbulence; Kinetic helicity
Turbulence with a scalar; Passive scalar; Turbulent thermal convection
Turbulence with a vector; Magnetohydrodynamic turbulence
M. K. Verma, Energy Transfers in Fluid Flows: Multiscale and Spectral Perspectives, Cambridge University Press (2019).
M. K. Verma, Physics of Buoyant Flows: From Instabilities to Turbulence, World Scientific (2018).
S. B. Pope, Turbulent Flows, Cambridge University Press (2000).
M. Lesieur, Turbulence in Fluids, Springer (2008).
P. A. Davidson, Turbulence, Oxford University Press (2004).
U. Frisch, Turbulence, Cambridge U. Press (1996).
P. Sagaut and C. Cambon, Homogeneous Turbulence Dynamics, Cambridge University Press (2008).
W. D. McComb, The Physics of Fluid Turbulence, Oxford U. Press (1989).
H. Tennekes and J. L. Lumley, A First Course in Turbulence, MIT Press (1972).
G. K. Batchelor, Theory of Homogeneous Turbulence, Cambridge (1982).
A. S. Monin and A. N. Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence, Vols I and II, MIT Press (1971).