Physics of Turbulence

Vedio Lectures in a Mooc Course

NPTEL course link: https://nptel.ac.in/courses/115/104/115104112/

The video lectures are available in you-tube here.

Course Contents

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

Textbook

M. K. Verma, Energy Transfers in Fluid Flows: Multiscale and Spectral Perspectives, Cambridge University Press (2019).

References

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).