Basics of acoustics – General theory of aerodynamic sound – Flow and acoustic interactions – Feed- back phenomenon – Supersonic jet noise – Sonic boom – Noise radiation from rotors and fans – Aeroacoustic measurements.

Review of Ordinary Differential Equations: analytical methods, stability – Fourier series, orthogonal functions, Fourier integrals, Fourier transform – Partial Differential Equations: first-order PDEs, method of characteristics, linear advection equation, Burgers’ equation, shock formation, Rankine-Hogoniot jump condition; classification, canonical forms; Laplace equation, min-max principle, cylindrical coordinates; heat equation, method of separation of variables, similarity transformation method; wave equation, d’Alembert solution – Calculus of Variations: standard variational problems, E

Concept of similarity and design of experiments – Measurement uncertainty – Design of subsonic, transonic, supersonic, hypersonic, and high enthalpy test facilities – Transducers and their response characteristics – Measurement of pressure, temperature, velocity, forces, moments, and dynamic sta- bility derivatives – Flow visualization techniques: Optical measurement techniques, refractive index based measurements, scattering based measurements – Data acquisition and signal conditioning – Signal and image processing.

Equations of Motion: rigid body dynamics, coordinate transformation, Euler angle & quaternion formulation – Dynamics of Generic Fixed Wing Aircraft: 6-DoF equations of motion, linearized equations of motion, linearised longitudinal & lateral equations, aerodynamic derivatives – LTI sys- tem basics – Stability of Uncontrolled Motion: linearized longitudinal & lateral dynamics, modes of motion – Response to Control Inputs: transfer function, step response & frequency response charac- teristics – Feedback Control: stability augmentation, PID control, root-locus technique for co

Introduction to tensors – Kinematics – Governing equations – Kelvin’s theorem – Potential flow – Uniqueness and Kutta condition – Foundations of panel methods – Airfoils – Thin Airfoil Theory: Forces and moments on airfoil, flaps – Finite Wings: Prandtl lifting line theory, Induced drag, El- liptic lift distribution – 3D panel methods – Viscous Incompressible Flows: Prandtl boundary layer equation, Similarity solutions, Flow separation and stall – Introduction to turbulence – Turbulent boundary layer – Viscous-inviscid coupling – High lift devices – Swept wing – Delta wing.