This course will be useful for students wishing to gain an overview of the vast field of fluid dynamics. It will serve as a springboard for those who would like to go on to work in areas connected to fluid dynamics, such as astrophysics, aerodynamics, biofluid dynamics, computational fluid dynamics, etc.

The course will be organized into the following (approximate) modules:

1) The continuum hypothesis, kinematics, conservation laws: continuity equation, Euler and Navier-Stokes equations (chapters 1, 3 and 4, Kundu & Cohen, 3 weeks)

Pdf file of lectures for module 1

2) Dimensionless numbers, dynamic similarity, aerodynamics (chapters 8 and 15, Kundu and Cohen, 2 weeks)

Pdf file of lectures for module 2

3) Compressible flows, speed of sound, shocks (2 weeks, chapter 16, Kundu and Cohen, also relevant parts from Physics of Fluids and Plasmas, Arnab Rai Choudhuri)

Pdf file of lectures for module 3

4) Fluid instabilities and turbulence (chapters 12 and 13, Kundu and Cohen, also relevant parts from Physics of Fluids and Plasmas, Arnab Rai Choudhuri, 2 weeks)

Pdf file of lectures for module 4

5) Applications of fluid dynamics in Astrophysics: e.g., Astrophysical jets, the de Laval nozzle, spherical accretion onto compact objects, the solar wind (2 weeks)

Pdf file of lectures for module 5

Fluid Mechanics by Kundu and Cohen, 4th edition, 2008, Elsevier (Indian edition)

Fluid Mechanics, Landau & Lifshitz, 2nd edition, Pergamon Press

The Physics of Fluids and Plasmas, Arnab Rai Choudhuri, Cambridge University Press (Indian edition)

Lecture notes on Fluids by Prof Jean Eilek, New Mexico Tech

Video 1 and Video 2 and accompanying notes on low Reynolds number flows (thanks to Dr Chaitanya Athale for bringing these to my attention)

Article on Ludwig Prandtl and his contributions to boundary layer theory

Article by Peter Lax on shock formation and decay

Problem Set 1

Problem Set 2

Problem Set 3

Problem Set 4