Fundamental concepts:
Recap of Thermofluids concepts, non-dimensional numbers and sanity checks, Partial derivatives and corresponding physical concepts, numerical implementation, vorticity & irrotational flow, Mass and momentum conservation using partial derivatives, How CFD works.
Viscous flow:
Types of boundary layers, integral properties of boundary layers, displacement thickness, momentum thickness, momentum integral equation for a flat plate (MIE), power law approximations for turbulent boundary layers, drag on a flat plate for laminar and turbulent flow including transition. Numerical implementation of various concepts.
Potential Flow:
Streamlines and velocity potential, Laplace equation, Uniform stream, source/sink, doublet and line vortex. Superposition of different flow elements with examples: uniform flow with source, flow around circular cylinder/doublet, lifting flow over circular cylinder, method of images.
Thin Aerofoil Theory:
Kutta-Joukowski theorem, Vortex sheets, Kutta condition, symmetric aerofoil (lift-versus-angle of attack, aerodynamic centre & centre of pressure) and cambered aerofoil (lift-versus-angle of attack), surface loading/pressure distribution, Flow over real airfoils.
Finite Wing Theory:
Downwash & induced drag, Biot-Savart law, bound vorticity, horseshoe vortex, classical lifting line theory, application to elliptic & general wing planforms, Flow over real wings.
Laboratory sessions:
1) Boundary layer lab – measuring velocity profiles of laminar and turbulent boundary layers
2) CFD lab – application of commercial CFD software to flow over an aerofoil
3) Wind tunnel lab for an infinite wing – measuring pressure distribution and integrating it to estimate lift.
4) Wind tunnel lab for a finite wing - measuring lift and drag of a finite wing and assessing its performance