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Core Topics |
Special Topics |
Section1: Engineering Mathematics
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Linear Algebra: Vector algebra, Matrix algebra, systems of linear equations, the rank of a matrix, eigenvalues, and eigenvectors.
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.
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Fourier Series, Laplace Transforms, Numerical methods for linear and
nonlinear algebraic equations, Numerical integration and differentiation. Complex
analysis. Probability and statistics.
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Section 2: Flight Mechanics
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Atmosphere: Properties, standard atmosphere. Classification of aircraft. Airplane (fixed wing aircraft) configuration and various parts. Pressure altitude; equivalent, calibrated,
indicated air speeds; Primary flight instruments: Altimeter, ASI, VSI, Turn-bank
Indicator. The angle of attack, sideslip; Roll, pitch & yaw controls. Aerodynamic forces and moments.
Airplane performance: Drag polar; takeoff and landing; steady climb & descent;
absolute and service ceiling; range and endurance, load factor, turning flight, V-n
Diagram. Winds: head, tail & cross winds.
Static stability: Stability & control derivatives; longitudinal stick fixed & free stability; horizontal tail position and size; directional stability, vertical tail position, and size; lateral stability. Wing dihedral, sweep & position; hinge moments, stick forces.
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Dynamic stability: Euler angles; Equations of motion; Decoupling of longitudinal and lateral-directional dynamics; longitudinal modes; lateral-directional modes.
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Section 3: Space Dynamics
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Central force motion, determination of trajectory, and orbital period in simple cases. Kepler’s laws; escape velocity.
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No Special Topics
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Section 4: Aerodynamics
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Basic Fluid Mechanics: Conservation laws: Mass, momentum, and energy (Integral and differential form); Dimensional analysis and dynamic similarity;
Potential flow theory: sources, sinks, doublets, line vortex, and their superposition. Elementary ideas of viscous flows, including boundary layers.
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, One-dimensional compressible flows, Isentropic flows, Fanno flow, Rayleigh flow; Normal and oblique shocks, Prandtl-Meyer flow; Flow through nozzles and diffusers.
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Wind Tunnel Testing: Measurement and visualization techniques. Shock – boundary
layer interaction
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Section 5: Structures
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Strength of Materials: Stress and strain: Three-dimensional transformations, Mohr’s circle, principal stresses, Three-dimensional Hooke’s law, Plane stress, and strain. Failure theories: Maximum stress, Tresca von Mises. Strain energy. Castigliano’s principles. Statically determinate and indeterminate trusses and beams. Elastic flexural buckling of columns.
Flight vehicle structures: Characteristics of aircraft structures and materials. Torsion, bending, and 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.
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The vibration of beams. Theory of elasticity: Equilibrium and compatibility equations,
Airy’s stress function.
Section
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Section 6: Propulsion
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Basics: Thermodynamics, boundary layers, heat transfer, combustion, and thermochemistry.
Aerothermodynamics of aircraft engines: Thrust, efficiency, range. Brayton cycle.
Engine performance: ramjet, turbojet, turbofan, turboprop, and turboshaft engines. Afterburners.
Turbomachinery: Axial compressors: Angular momentum, work, and compression, the characteristic
performance of a single axial compressor stage, the efficiency of the compressor and degree of reaction, multi-staging.
Centrifugal compressor: Stage dynamics, inducer, impeller, and diffuser.
Axial turbines: Stage performance.
Rockets: Thrust equation and specific impulse, rocket performance. Multi-staging. Chemical rockets. Performance of solid and liquid propellant rockets.
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Aerothermodynamics of non-rotating propulsion components such as intakes, combustor, and nozzle. Turbine blade cooling. Compressor-turbine matching, Surge, and stall.
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