Potential flow: Vorticity and circulation, Kelvin's theorem, Biot-Savart law, velocity induced by a straight vortex segment, statement of the potential flow problem, general solution based on Green's identity, basic solution based on source, sink, doublet and vortex.
Flow over three dimensional wings: Definition of the problem, separation of the thickness and the lifting problem, symmetric wing with non-zero thickness at zero angle of attack, zero thickness cambered wing
at angle of attack-lifting surfaces, the aerodynamic loads.
Perturbation methods: Thin airfoil problem, second order solution, leading edge solution, matched asymptotic expansions, lifting line model, slender wing theory, slender body theory.
Boundary element method: Basic formulation, reduction of the problem to a set of linear algebraic equations, lower and higher order singularity elements, influence coefficients and solutions using Neumann and Dirichlet boundary conditions, lifting line solution by horseshoe elements, lifting surface solution by vortex ring elements.
Statement of the ship-wave problem: Rankine source panel method, finite volume method and RANS equations, Virtual towing tank.
Credit Hours - 3 || Contact Hours - 3