GATE Aerospace Engineering Syllabus: Important
Note for Candidates
: In each of the following subjects the topics have been divided into two
categories – Core Topics and Special Topics. The corresponding sections of the
question paper will contain 90% of their questions on Core Topics and the
remaining 10% on Special Topics.
Section 1: Engineering Mathematics
Core
Topics:
Linear Algebra: Vector algebra, Matrix algebra, systems of linear equations,
rank of a matrix, eigen values and eigenvectors.
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Calculus: Functions of single variable, limits, continuity and differentiability, mean value theorem, chain rule, partial derivatives, maxima and minima, gradient, divergence and curl, directional derivatives. Integration, Line, surface and volume integrals. Theorems of Stokes, Gauss and Green.
Differential Equations: First order linear and nonlinear differential
equations, higher order linear ODEs with constant coefficients. Partial differential
equations and separation of variables methods.
Special Topics: Fourier Series, Laplace Transforms, Numerical
methods for linear and nonlinear algebraic equations, Numerical integration and
differentiation.
Section 2: Flight Mechanics
Core
Topics:
Basics: 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; takeoff 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.
Special Topics: Dynamic stability: Euler angles; Equations of
motion; aerodynamic forces and moments, stability & control derivatives;
decoupling of longitudinal and lateral-directional dynamics; longitudinal
modes; lateral-directional modes.
Section 3: Space Dynamics
Core
Topics:
Central
force motion, determination of trajectory and orbital period in simple cases.
Special Topics: Orbit transfer, in-plane and out-of-plane.
Section 4: Aerodynamics
Core
Topics:
Basic Fluid Mechanics: Conservation laws: Mass, momentum (Integral
and differential form);
Potential flow theory: sources, sinks, doublets, line vortex and
their superposition; Viscosity, Reynold's number.
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.
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.
Special Topics: Elementary ideas of viscous
flows including boundary layers; Wind Tunnel Testing:
Measurement and visualization techniques.
Section 5: Structures
Core
Topics:
Strength of Materials: States of stress and strain. Stress and strain
transformation. Mohr's Circle. Principal stresses. Three-dimensional Hooke's law. Plane
stress and strain; Failure theories: Maximum stress, Tresca and von Mises;
Strain energy. Castigliano's principles. Analysis of statically determinate and
indeterminate trusses and beams. Elastic flexural buckling of columns.
Flight vehicle structures: Characteristics of aircraft structures and
materials. Torsion, bending and flexural shear of thin-walled sections. Loads on
aircraft.
Structural Dynamics: Free and forced vibrations of undamped and
damped SDOF systems. Free vibrations of undamped 2-DOF systems.
Special Topics: Vibration of beams. Theory of elasticity:
Equilibrium and compatibility equations, Airy’s stress function.
Section 6: Propulsion
Core
Topics:
Basics: Thermodynamics, boundary layers and heat transfer and combustion
thermochemistry.
Thermodynamics of aircraft engines: Thrust, efficiency and engine performance of
turbojet, turboprop, turbo shaft, turbofan and ramjet engines, thrust augmentation of
turbojets and turbofan engines. Aerothermodynamics of non-rotating propulsion
components such as intakes, combustor and nozzle.
Axial compressors: Angular momentum, work and compression,
characteristic performance of a single axial compressor stage, efficiency of the
compressor and degree of reaction.
Axial turbines: Axial turbine stage efficiency.
Centrifugal compressor: Centrifugal compressor stage dynamics,
inducer, impeller and diffuser.
Rocket propulsion: Thrust equation and specific impulse,
vehicle acceleration, drag, gravity losses, multi-staging of rockets.
Classification of chemical rockets, performance of solid and liquid propellant
rockets.
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