# GATE Syllabus for Aerospace Engineering

### Flight Mechanics

Airplane performance:Primary flight instruments: Altimeter, VSI, ASI, Turn-bank indicator, pressure altitude, equivalent, calibrated, indicated air speeds, drag polar, take off and landing, steady climb & descent,-absolute and service ceiling, endurance or loiter, cruise, cruise climb, load factor, V-n diagram, Winds: head, tail & cross winds and turning flight.

Atmosphere:Classification of aircraft, airplane (fixed wing aircraft) configuration and various parts, properties and standard atmosphere.

Dynamic stability:Equations of motion, aerodynamic forces and moments, stability & control derivatives, decoupling of longitudinal and lat-directional dynamics, lateral-directional modes, Euler angles, longitudinal modes.

Static stability:Longitudinal stick fixed & free stability, horizontal tail position and size, vertical tail position and size, dihedral stability. Wing dihedral, sweep & position; directional stability, hinge moments, stick forces, angle of attack, sideslip; roll, pitch & yaw controls.

Engineering Mathematics

Calculus:Continuity and differentiability, mean value theorems, evaluation of definite and improper integrals, functions of single variable, limit, partial derivatives, total derivative, maxima and minima, vector identities, directional derivatives, surface, line, and volume integrals, theorems of stokes, gauss and green, divergence, gradient, and curl.

Differential Calculu:Cauchy and Euler equations, first order linear and nonlinear equations, higher order linear ODEs with constant coefficients, partial differential equations, laplace transforms and separation of variables methods, initial and boundary value problems.

Linear Algebra:Systems of linear equations, Matrix algebra, eigen values and eigen vectors.

Numerical methods: Numerical solution of linear and nonlinear algebraic equations, single and multi-step methods for differential equations, integration by trapezoidal and Simpson rule.

Space Dynamics

Determination of trajectory and orbital period in simple cases, central force motion, Elements of rocket motor performance, orbit transfer, in-plane and out-of-plane.

Aerodynamics

Basic Fluid Mechanics:Helmholtz and Kelvin theorem, Incompressible irrotational flow, singularities and superposition, boundary layer on a flat plate, viscous flows.

Viscous Flows:Structure of a turbulent boundary layer, introduction to turbulence, transition, flow separation

Airfoils and wings: Aerodynamic characteristics, high lift devices, classification of airfoils, Kutta Joukowski theorem, lift generation; thin airfoil theory, qualitative treatment of low aspect ratio wings, wing theory and induced drag.

Compressible Flows: Isentropic flow, Dynamics & Thermodynamics of I-D 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, wave drag, critical and drag divergence Mach number.

Wind Tunnel Testing: Visualisation techniques and Measurement.

Structures

Flight Vehicle Structures: Torsion, characteristics of aircraft structures and materials, bending and flexural shear, flexural shear flow in thin-walled sections, buckling, loads on aircraft, failure theories.

Stress and Strain: Constitutive law, equations of equilibrium, strain-displacement relationship, plane stress and strain compatibility equations, Airy's stress function.

Structural Dynamics: Dynamics of continuous systems, free and forced vibration of discrete systems, Damping and resonance.

Propulsion

Thrust and thrust augmentation, thermodynamics of Aircraft Gas Turbine engines.

Aerothermodynamics of non rotating propulsion components: Intakes, combustor and nozzle, elements of rocket propulsion, elements of rocket propulsion, thermodynamics of ramjets and scramjets.

Turbomachinery: centrifugal pumps and compressors, axial compressors and turbines.

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