Basic Fluid Mechanics:

Conservation laws: Mass, momentum (Integral and differential form);
Potential flow theory: sources, sinks, doublets, line vortex and their superposition; Viscosity, Reynolds number.

Reference books:
  1. Computational Fluid Dynamics The Basics With Applications by J.D.Anderson (Chapter 2 – The governing equations of fluid dynamics )
  2. Fluid Mechanics by Pijush K.Kundu, Ira M. Cohen (Chapter 5 – Vorticity dynamics (bit tough but worth it) and chapter 6 – Irrotational flow)
  3. Fluid mechanics by Frank.M.White (Chapter 8 – Potential Flow)

Airfoils and wings:

Airfoil nomenclature; Aerodynamic coefficients: lift, drag and moment; Kutta-Joukoswki theorem; Thin airfoil theory, Kutta condition, starting vortex; Finite wing theory: Induced drag, Prandtl lifting line theory; Critical and drag divergence Mach number.

Reference books:
  1. Fundamentals of Aerodynamics by John D. Anderson  (Easy to read, self learning is possible)
  2. Aerodynamics by clancy (Medium)
  3. Aerodynamics for Engineering Students by E. L. Houghton, P. W. Carpenter   (Tough)

Compressible Flows:

Basic concepts of compressibility, Conservation equations; One dimensional compressible flows, Fanno flow, Rayleigh flow; Isentropic flows, normal and oblique shocks, Prandtl-Meyer flow; Flow through nozzles and diffusers.

Reference books:
  1. Modern compressible flow by J.D.Anderson    (Best book for beginners)
  2. Aerodynamics by clancy   (Unique topics available)
  3. Gas dynamics by E.Radhakrishnan   (good for numerical problems)


Special Topics:

Elementary ideas of viscous flows including boundary layers; Wind Tunnel Testing: Measurement and visualisation techniques.