GATE 2011 : Examination Syllabus
Aerospace Engineering - AE ::
Linear Algebra: Matrix algebra, systems of linear equations, eigen values and
eigen vectors. Calculus: Functions of single variable, limit, continuity and
differentiability, mean value theorems, evaluation of definite and improper
integrals, partial derivatives, total derivative, maxima and minima, gradient,
divergence and curl, vector identities, directional derivatives, line, surface
and volume integrals. Theorems of Stokes, Gauss and Green.
Differential Calculus: First order linear and nonlinear equations, higher order
linear ODEs with constant coefficients, Cauchy and Euler equations, initial and
boundary value problems, Laplace transforms. Partial differential equations and
separation of variables methods.
Numerical methods: Numerical solution of linear and nonlinear algebraic
equations, integration by trapezoidal and Simpson rule, single and multi-step
methods for differential equations.
Scorecard will be sent only to the qualified candidates. No information will be
sent to candidates who are not qualified.
Atmosphere: Properties, standard atmosphere. Classification of aircraft.
Airplane (fixed wing aircraft) configuration and various parts.
Airplane performance: Pressure altitude; equivalent, calibrated, indicated air
speeds; Primary flight instruments: Altimeter, ASI, VSI, Turn-bank indicator.
Drag polar; take off and landing; steady climb & descent,-absolute and service
ceiling; cruise, cruise climb, endurance or loiter; load factor, turning flight,
V-n diagram; Winds: head, tail & cross winds.
Static stability: Angle of attack, sideslip; roll, pitch & yaw controls;
longitudinal stick fixed & free stability, horizontal tail position and size;
directional stability, vertical tail position and size; dihedral stability. Wing
dihedral, sweep & position; hinge moments, stick forces.
Dynamic stability: Euler angles; Equations of motion; aerodynamic forces and
moments, stability & control derivatives; decoupling of longitudinal and
lat-directional dynamics; longitudinal modes; lateral-directional modes.
Central force motion, determination of trajectory and orbital period in simple
cases. Orbit transfer, in-plane and out-of-plane. Elements of rocket motor
Basic Fluid Mechanics: Incompressible irrotational flow, Helmholtz and Kelvin
theorem, singularities and superposition, viscous flows, boundary layer on a
Airfoils and wings: Classification of airfoils, aerodynamic characteristics,
high lift devices, Kutta Joukowski theorem; lift generation; thin airfoil
theory; wing theory; induced drag; qualitative treatment of low aspect ratio
Viscous Flows: Flow separation, introduction to turbulence, transition,
structure of a turbulent boundary layer.
Compressible Flows: Dynamics & Thermodynamics of I-D flow, isentropic flow,
normal shock, oblique shock, Prandtl-Meyer flow, flow in nozzles and diffusers,
inviscid flow in a c-d nozzle, flow in diffusers. subsonic and supersonic
airfoils, compressibility effects on lift and drag, critical and drag divergence
Mach number, wave drag.
Wind Tunnel Testing: Measurement and visualisation techniques.
Stress and Strain: Equations of equilibrium, constitutive law,
strain-displacement relationship, compatibility equations, plane stress and
strain, Airy's stress function.
Flight Vehicle Structures: Characteristics of aircraft structures and materials,
torsion, bending and flexural shear. Flexural shear flow in thin-walled
sections. Buckling. Failure theories. Loads on aircraft.
Structural Dynamics: Free and forced vibration of discrete systems. Damping and
resonance. Dynamics of continuous systems.
Thermodynamics of Aircraft Gas Turbine engines, thrust and thrust augmentation.
Turbomachinery: Axial compressors and turbines, centrifugal pumps and
Aerothermodynamics of non rotating propulsion components: Intakes, combustor and
nozzle. Thermodynamics of ramjets and scramjets. Elements of rocket propulsion.