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M. Tech. Aerospace Engineering

SEMESTER I

No. Subject L T P C

AS3010 Introduction to Space Technology 3 0 0 3

AS5010 Engineering Aerodynamics & Flight Mechanics++ 3 0 0 3

AS5020 Elements of Gas Dynamics & Propulsion++ 3 0 0 3

AS5030 Airplane and Aerospace Structures++ 3 0 0 3

AS5110 Laboratory I 0 0 3 2

MA PG Elective 3 0 0 3

TOTAL 15 0 3 17

SEMESTER II

No. Subject L T P C

AS5120 Laboratory II (Str. Lab) 0 0 3 2

AS5210 Aerodynamic Design 1 0 5 3

Elective 1 3 0 0 3

Elective 2 3 0 0 3

Elective 3 3 0 0 3

Elective 4 3 0 0 3

TOTAL 13 0 8 17

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SEMESTER III

No. Subject L T P C

AS5150* Project ­ ­ ­ 3

AS5220 Structural Design 1 0 5 3

Elective 5 3 0 0 3

Elective 6 3 0 0 3

Elective 7 3 0 0 3

TOTAL 10 0 5 12

SEMESTER IV

No. Subject L T P C

AS5150 Project 18

TOTAL 18

Total = 17 + 17 + 12 + 18 = 64.

++ For students with Aero. background, alternate courses may be prescribed at the discretion of the Department

* Grade assigned in the fourth semester

Electives I to VII

Minimum of three electives to be taken from the list of electives given below or their equivalents. Any other M.Tech level courses may be taken as the remaining four electives with the consent of the Faculty Advisor.

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LIST OF ELECTIVES

S.No. Course No. Title L T P C

1. AS 5300 Physical Gas Dynamics 3 0 0 3

2. AS 5310 Object Oriented Prog. for Science & Engineers

3 0 0 3

3. AS 5320 Boundary Layer Theory 3 0 0 3

4. AS 5330 Computational Aerodynamics 3 0 0 3

5. AS 5340 Advanced Flight Mechanics 3 0 0 3

6. AS 5350 Transonic Aerodynamics 3 0 0 3

7. AS 5360 Advanced Aerodynamics 3 0 0 3

8. AS 5370 Helicopter Aerodynamics 3 0 0 3

9. AS 5380 Flight Testing and Performance Reduction

3 0 0 3

10. AS 5390 Numerical Methods in Gas Dynamics 3 0 0 3

11. AS 5400 Theory & Computation of Vortex Dominated Flows

3 0 0 3

12. AS 5410 Grid Generation 3 0 0 3

13. AS 5420 Introduction to CFD 3 0 0 3

14. AS 5430 Stability of Shear Flows 3 0 0 3

15. AS5440 Hydrodynamic Stability, transition and Flow control

3 0 0 3

16. AS5470 Unsteady Aerodynamics of Moving Bodies

3 0 0 3

17. AS 5550 Aerospace Systems Control and Estimation

3 0 0 3

18. AS 5610 Rocket Propulsion 3 0 0 3

19. AS 5620 Theory and Design of Gas Turbines 3 0 0 3

20. AS 5630 Performance of Gas Turbines 3 0 0 3

21. AS 5640 Combustion, Explosion and Detonation 3 1 0 3

22. AS 5650 Multiphase Flow 3 0 0 3

23. AS 5660 Hypersonic Air breathing Propulsion 3 0 0 3

24. AS 5670 Transport Processes in Reacting Flows 3 0 0 3

25. AS 5680 High Temperature Gas Dynamics 3 0 0 3

26. AS 5690 Radiation Heat Transfer 3 0 0 3

27. AS 5810 Theories of Modern Plate Structures 3 0 0 3

28. AS 5820 Analysis of Plates and Shells 3 0 0 3

29. AS 5830 Approximate Methods in Structural 3 0 0 3

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S.No. Course No. Title L T P C

Analysis

30. AS 5840 Thermal Stress Analysis 3 0 0 3

31. AS 5850 Finite Element Analysis 3 0 0 3

32. AS 5860 Composite Structures 3 0 0 3

33. AS 5870 Energy Methods in Structural Analysis 3 0 0 3

34. AS 5880 Mechanics of Damage Tolerance 3 0 0 3

35. AS 5890 Mechatronics Design 3 0 0 3

36. AS 5900 Elasticity 3 0 0 3

37. AS 5910 Aeroelasticity 3 0 0 3

38. AS 5920 Dynamics of Elastic Systems 3 0 0 3

39. AS 5930 Elastic Stability 3 0 0 3

40. AS 5940 Non­Linear Behaviour of Plates and Shells

3 0 0 3

41. AS 5950 Continuum Mechanics 3 0 0 3

42. AS 5960 Advanced Strength of Materials 3 0 0 3

43. AS 5970 Structural Dynamics and Aero­elasticity 3 0 0 3

44. AS 5980 Contact Mechanics and Tribology 3 0 0 3

45. AS 6010 Hypersonic Flow Theory 3 0 0 3

46. AS 6015 Aerodynamics of Missiles and Launch Vehicles

3 0 0 3

47. AS 6020 Introduction to Turbulent Flows & their Predictions

3 0 0 3

48. AS 6030 Experimental Methods in Aero / Gas Dynamics

3 0 0 3

49. AS 6040 Turbulent Flows and their Computation 3 0 0 3

50. AS 6310 System Simulation and Process Optimization

3 0 0 3

51. AS 6320 Acoustics Instabilities in Aerospace Propulsion

3 0 0 3

52. AS 6330 Aero Acoustics 3 0 0 3

53. AS 6340 Combustion & Flow Diagnostics 3 0 0 3

54. AS 6510 Experimental Techniques in Structural Mechanics

3 0 0 3

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Course Contents

AS 3010 Introduction to Aerospace Technology 3 0 0 3

Space mission types, Environment, Astrodynamics: fundamentals of orbital mechanics (two body motion, circular and escape velocity, motion in elliptic hyperbolic, and parabolic orbits); basic orbital maneuvers. Rocket propulsion fundamentals; ascent flight mechanics; launch vehicle selection. Atmosphere entry; entry flight mechanics; entry heating. Attitude determination and controls; basic concepts; review of rotational dynamics; rigid body dynamics; disturbance torques; passive attitude control; active control; attitude determination. Thermal control, Spacecraft powder, Telecommunications. ________________________________________________________________

AS 5010 Engineering Aerodynamics & Flight Mechanics 3 0 0 3

Basic equations of Fluid Mechanics. Inviscid flows. Stream function. Velocity potential. Two­dimensional incompressible flows: Lapalce's equation, its solutions. Flow over airtfoils; Conformal transformation, thin airfoil theory. Introduction to finite wings; Prandtl's lifting line theory. Effect of boundary layer and separation on flow over airfoils.

Atmosphere. Estimation of basic performance of an airplane. Introduction to stability and control.

Text Books:

(i) Anderson,J.D. ‘Aircraft Performance and Design’ WCB mc Graw Hill (1999) (ii) Mc Cormick, B.W.’Aerodynamics, Aeronautics and Flight Mechanics’

John Wiley and son Inc. (iii) Nelson, R.C. ‘Flight Stability and Automatic Control’ Mc Graw Hill

International Edition(1990) (iv) Etkin,B., Reid ,L.D ‘ Dynamics of Flight’ (v) Anderson,J.D., Fundamentals of Aerodynamics’ ________________________________________________________________

AS 5020 Elements of Gas Dynamics & Propulsion 3 0 0 3

Basic equations of gas dynamics. One­dimensional isentropic flows. Mach waves, Shock waves. One­dimensional flow with shocks, heat transfer and friction. Two­dimensional shocks. Prandtl­Meyar flows. Linerized two­ dimensional subsonic flows; Prandtl­Glaurt / Goethert transformation. Linerized supersonic flow; Ackeret's theory.

Classification of airbreathing and rocket propulsion systems and their operating principles. Propeller theory, performance of different types of engines. Effect of altitude and forward speed. Gas turbine engine components, construction and performance.

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Text Books:

(i) Shapiro,A.H. ‘The Dynamics and Thermodynamics of Compressible Fluid Flow’. Vol. I The Ronald Press Co, New York

(ii) Chapman,A.J. and Walker,W.F. ‘Introductory Gas Dynamics’ Holt,Rinehart and Winston Inc, New York

(iii) J.D. Anderson ’Modern Compressible Flow­ with a Historical Perspective’ Mc Graw Hill Int. Editions

(iv) Hill, P.G. and Peterson, C.R. ‘ Mechanics and Thermodynamics of Propulsion’ Addison Wesley Publishing Co

(v) Liepman, H.W and Roshko,A. ‘Elements of Gas Dynamics’ John Wiley and Sons Inc

________________________________________________________________

AS5030 Airplane and Aerospace Structures 3 0 0 3

Classification of Airplanes, Principles of flight, Flight controls, Basic Instruments and aircraft systems, Helicopters

Analysis of wings. Shear centre. Bending and torsion of closed and open tubes. Multi­cell tubes. Columns and beam­columns. Bending and buckling of plates and sheet stringer combination. Analysis of fuselage. Experimental techniques; strain gages, photoelasticity, vibration of discrete and continuous systems.

Text Books:

(i) Anderson,J.D. ‘Introduction to Flight’ McGraw Hill, 3 rd edn. (1989) (ii) Richard Shevell ‘Fundamentals of Flight’ (iii) E.F.Bruhn ‘Analysis and Design of Flight Vehicle Structures, Jacobs

Publishing, Indianapolis (1973) (iv) Haisler, W.E. and Allen , D.H. ‘Introduction to Aerospace Structural

Analysis’ John Wiley (1985) (v) Rivello,R.M. ‘Theory and Analysis of Flight Structures’ Mc Graw Hill (1969) ________________________________________________________________

AS5110 Laboratory I 0 0 3 2 ________________________________________________________________

AS5120 Laboratory II (Str. Lab) 0 0 3 2

AS5210 Aerodynamic Design 1 0 5 3

Introduction to systematic to Design, Preliminary weight estimation, sizing from a conceptual sketch, airfoil and geometry selection, thrust loading and wing loading selection, initial sizing, configuration layout and special consideration in configuration designs. Propulsion and fuel system integration. Internal Layout, weight and balance. Design of wing, fuselage, control surfaces and landing gear

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and subsystems, surface controls. Performance, stability and control. Preliminary cost analysis.

Preliminary aerodynamic design of an given set of specifications. Drawing its three views and layout an estimation of its performance and stability characteristics. ________________________________________________________________

AS5220 Structural Design 1 0 5 3

Structural design requirements, V­n diagram, Determination of loads acting on major airplane components such as wing, fuselage, tails etc. Buckling of semi­ moncoque structures, master­column chart, stress and margin of safety – Detailed design procedure of major structural components – Splice Design

Detailed structural design of the major components of an airplane including load calculations.

AS5300 Physical Gas Dynamics 3 0 0 3

Introductory Kinetic theory (definition of pressure and temperature from microscopic viewpoint, mean free path, transport processes). Equilibrium kinetic theory (Maxwell’s distribution, collusion rate). Chemical equilibrium )Effective collision rate, Law of mass action, activation energy). Chemical thermodynamics (Gibb’s relations, Mixture of perfect gases, van’t Hoff’s relation). Statistical thermodynamics (Macroscopic and microscopic descriptions, Quantum energy states, energy modes of molecules, Boltzman’s relation, contribution of internal structure). Equilibrium gas properties (Ideally dissociating gas, Ionisation equilibrium, Collision cross sections). Flow with translational non­equilibrium (Bhatnagar­Gross­Krook model for translational non­equilibrium, Chapman­ Enskog solution, Transport properties as nonequilibrium phonomena, Linearised Couette flow). ________________________________________________________________

AS5310 Object Oriented Programming 3 0 0 3 for Scientists and Engineers Prereq. COT

An overview of object programming (OOP). Introduction to C++. Essentials of OOP ­ data encapsulation, overloading, inheritance. User defined data Types. Input/output. Code reusability. Templates ­ use of templates to write reusable code.

OOP applications to numerical analysis ­ find epsilon of the machine, interval analysis and interval class. A matrix class. Solutions to differential equations ­ ODEs and PDEs using grid point class, finite volume class and finite element class. Simple graphics and visualisation.

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Random number generators, Monte­Carlo methods, Random walk, discrete event simulation.

Object oriented design and its implications to problem formulation and solution. _______________________________________________________________

AS5320 Boundary Layer Theory 3 0 0 3 (Prereq. AS501)

Prandtl's approximation of Navier­Stokes equations. Blasius solution for a flat plate. Integral momentum equation. Karman ­ Polhausen method. Walz­method. Unsteady boundary layer. Introduction to thermal and turbulent boundary layers.

AS5330 Computational Aerodynamics 3 0 0 3 (Prereq. AS 501)

Introduction to computation methods. Examples : Method of steepest descent, numerical integration, interpolation, etc. Relaxation methods applied to subsonic and transonic flows. Method of singularities; Vortex lattice methods. Variational methods. Time­dependent methods. Treatment of shocks. Introduction to boundary­layer calculations. Introduction to finite­element method and its applications to fluid flows.

AS5340 Advanced Flight Mechanics 3 0 0 3 (Prereq. AS 501)

Optimization of airplane performance : Instantaneous and integral performance problems and conditions for their optima. Optimization of range and climb performance; Energy height method.

Longitudinal and lateral dynamic stability. Response of airplane to deflection of controls, gust and turbulence. Stability with automatic control. Role of analogue computers and simulators in stability analysis. Stability and control after stall. Recent trends.

AS5350 Transonic Aerodynamics 3 0 0 3 (Prereq. AS 501)

Some concepts and properties of transonic flow. Fundamental equations, similarity rule, flow in the throat of convergent­divergent nozzle, consideration of shock on an aerofoil. Methods of transonic flow calculations: Guderley profile, exact solutions by hodograph theory, parabolic method, integral method, method of Murman and Cole. Equivalence theorem and area rule.

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AS5360 Advanced Aerodynamics 3 0 0 3 (Prereq. AS501)

Thin and thick aerofoils in incompressible flow. Limitations of lifting line theory, concepts of extended lifting line theory, Lifting surface theory. Interaction problems. Small perturbation equations in compressible flows: Pradtl­Glauert and Goethert rules. Ackeret's supersonic airfoil theory. Wings of finite span in incompressible and compressible flows. Aerodynamics of the fuselage and wing­ fuselage combination.

AS5370 Helicopter Aerodynamics 3 0 0 3 COT

Introduction. Rotor aerodynamics : Momentum theory for vertical and forward flight, ground effect. Rotor mechanics: Blade motion, pitch, flap and lead­lag. Performance: Hover ceilings, steady vertical and level flight, climb, range, endurance, autorotation.

AS5380 Flight Testing and Performance Reduction 3 0 0 3 (Prereq. AS 501)

Basic definitions. Airspeed, altitude and temperature measuring systems, erros and calibration. Measurement of power of internal combustion engines, determination of corrected power. Measurement/estimation of thrust of Turboject engines. Useful thrust and s.h.p. of turboprop. Data acquisition systems. Flight test techniques for evaluation of performance and stability of aircraft with piston and jet engines. Performance reduction methods. Reduction of take­off and landing performance.

AS5390 Numerical Methods in Gas Dynamics 3 0 0 3 COT

General Introduction. The Gudonov scheme. BVLR method. Method of characteristics in two­ and three­dimensional flows. Method of integral relations Blunt body problem. Particle in cell method.

AS5400 Theory and Computation of Vortex Dominated Flows 3 0 0 3 COT

An introduction to vortex flows ­ vortices in everyday life ­ vortices in tea cup, the tornado, vortex rings. Geometrical and Kinematical preliminaries. Laws of vortex motion. Stretching, viscous diffusion and creation of vorticity. Vortex momentum. Dynamics of Vortex filaments. Dynamics of point vortices in two dimensions ­ The

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Karman Vortex street. Evolution and roll up of open and closed vortex sheets. Birkhoff­Rott equation. Kelvin­Helmholtz instability. Kaden's spiral.

Dynamics of vortex patches. Controur dynamics. Starting vortex behind an airfoil. Formation of vortex rings. Structure of the trailing vortex behind the wing and vortex breakdown. Computation of vortex merging and roll­up using the vortex blob method. Computation of incompressible, unsteady flows using the random vortex method. Fast vortex methods. Introduction to computation of 3 dimensional vortex flows.

AS5410 Grid Generation 3 0 0 3 COT

An introduction to tensor calculus, Transformation of coordinates, General principles of grid generation, structured grids in two and three dimensions: Algebraic grid generation. Differential equation based grid generation: Elliptic, Parabolic, Hyperbolic grid generation. Cartesian grids, Unstructured Grid generation ­ various algorithms. Grid clustering, Grid refinement, Adaptive grids, Moving grids algorithms, CAD interface to grid generators, Techniques for complex and or large problems: Multi block methods, grid generation for distributed problem solving.

AS5420 Introduction to CFD 3 0 0 3

Introduction to numerical methods ­ machine epsilon, numerical differentiation and integration. Advection and diffusion by wave equation, heat equation and Laplace equation. Properties of the solutions. Discretization schemes for the one dimensional first order wave equation. Dissipation, Dispersion and stability of such schemes. Simple extension to Quasi­One­Dimensional Euler equations and Full Euler equations. Solution to heat equation. Time marching schemes­ADI, LU approximate factorization schemes. Solution to Laplace equation­Point interactive technique. Properties of the solution. Introduction to grid generation­algebraic grids, elliptic grids. Applications to flow problems.

AS5430 Stability of Shear Flows 3 0 0 3

Introduction to steady flows, their stability and bifurcations. Kelvin­Helmholtz instability. Stability of Parallel Shear Flows. Orr­Sommerfeld Problem. Temporal Stability of Parallel Shear Flows. Non­linear Stability. Stability of Boundary Layer Flows. Transition. Chaos and Turbulence. ________________________________________________________________

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AS5440 Hydrodynamic Stability, transition and 3 0 0 3 Flow control

Introduction to linear instability and transition. Recent developments in instability methods; transient growths, global analysis, optimization and feedback mechanisms. Routes to turbulence, factors affecting different mechanisms and re­laminarization. Methods to achieve transition delay, lift augmentation, separation prevention, turbulence suppression, noise abatement and other flow control strategies. Transition control: wall heating and cooling, wall motion, suction and blowing etc. Separation control: velocity profile modifiers, shaping, heat transfer, turbulators, etc. Drag reduction: reduction of near­wall momentum, Toms effect, etc. Recent developments in flow control. ________________________________________________________________

AS5470 Unsteady Aerodynamics of Moving Bodies 3 0 0 3

Airfoils and wings in steady motion. Analytical methods for the unsteady aerodynamic behavior of oscilating airfoils and wings. 2D unsteady thin airfoil theory. 3D unsteady wing theory. Airfoils and wings undergoing arbitrary motion. Gust. Time domain and frequency domain analysis of unsteady flows. Kelvin impulse and apparent mass concept in unsteady flows. Aerodynamics of flapping and hovering bio­mimetic flights. Numerical techniques for unsteady potential flows. Unsteady flow­field of natural invertebrates and aquatic animals and flapping­type MAVs. Discussion on 3D and Re effects. ________________________________________________________________

AS5550 Aerospace Systems Control and Estimation 3 0 0 3

Frequency domain and state space technique; control law design using Nyquist diagrams and Bode plots; state feedback, state estimation, design of dynamic control laws; elementary analysis of non­linearities and their impact on control design, basic applications of control theory to aerospace systems, navigation, guidance. ________________________________________________________________

AS5610 Rocket Propulsion 3 0 0 3 (Prereq. AS 493)

Chemical rocket performance: Thermochemical calculations. Liquid propellant rockets: Droplet combustion, feed system and ignition, injector design, combustion chamber geometry and cooling, nozzle design, thrust vector control. Solid propellant rockets: Combustion mechanisms, grain design, two phase flow, case fabrication problems. Combustion instability.

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AS5620 Theory and Design of Gas Turbines 3 0 0 3 (Prereq. AS 503)

Introduction to aircraft gas turbines. Non­rotating components: Aero­ thermodynamics of inlets, combustors and nozzles. Rotating components: Exchange of energy between rotor and fluid. Euler equation, stage performance analysis. Multistage compressors and turbines. Centrifugal and axial compressors and axial turbines. Stall and surge problems of compressors. Structural and cooling problems of turbine blades.

AS5630 Performance of Gas Turbines 3 0 0 3 (Prereq. AS 503)

Typical engine performance. Non­dimensional representation. Off design performance estimation of turbojets. Components characteristics and component matching: Equilibrium operation. Principles of controls and instruments. Noise suppression, starting and ignition, fire and ice protection.

AS5640 Combustion, Explosion and Detonation 3 0 0 3 (Prereq. COT)

Review of reaction kinetics. Flame theories for premixed and diffusion flames. Flame stabilization and combustion instabilities. Solid and liquid propellant combustion. Erosive burning of solid propellant grains. Explosion theories. Detonation theory. Deflagration to detonation transition.

AS5650 Multiphase Flow 3 0 0 3 COT

Historical review : Need for such a study, various flow regimes, fundamental notations, definitions and experimental correlations. Basic relations : Homogeneous, separated and continum mixture approaches for governing equation derivations.

Basic parameters and interactions. Transport properties and boundary condition. One­dimensional waves : Continuity and dynamic waves. Pipe flow sedimentary flow, boundary layer motion, flow over body and flat plates, cyclone separators, fluidized beds, gasification and combustion of coal, pneumatic transporters. ________________________________________________________________

AS5660 Hypersonic Airbreathing Propulsion 3 0 0 3 COT

Introduction to hypersonic flight in the atmosphere and the propulsion requirements thereto. Thermodynamic, fluid mechanical, gas dynamic, and thermochemical background for supersonic combustion ramjets. Overall

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performance considerations of hypersonic propulsion systems and the need for supersonic combustion. Hypersonic airbreathing engine performance analysis. Component performance in inlets, combustors and exhaust nozzles . Other hypersonic airbreathing propulsion concepts, such as the detonation wave engines. Experiments in Structural Mechanics and Stress Analysis.

AS5670 Transport Processes in Reacting Flows 3 0 0 3

Principles of heat transfer: conduction, convection, and radiation. Mass and momentum transfer: elements of mass diffusion and boundary layer theory. Chemical kinetics and equilibrium chemistry. Fundamentals of combustion and flame: premixed flame speed, Burke­Schumann analysis of diffusion flames, and droplet combustion.

AS5680 High Temperature Gas Dynamics 3 0 0 3

Review of equilibrium gas properties, non­equilibrium and non­equilibrium kinetic theory. Equilibrium flow (Steady shocks, nozzle flow, Prandtl­Meyer flow, Frozen flow) Vibrational and Chemical rate processes (Vibrational rate equation, chemical rate equation, local relaxation times, small departures from equilibrium). Flow with Vibrational and chemical non­equilibrium (Equilibrium and frozen flow, non­linear equators, acoustic equations, speed of sound, sound propagation, small departures from uniform flow, linearised normal shock wave, dispersed shock wave, nozzle flow, MOC). Flow with translational non­equilibrium (transport properties, Bulk viscosity, structure of shock wave, linearised Couette flowe). Radiative transfer in gases (Equation of radiative transfer, radiative equilibrium, radiation­solid surface interaction, Emission and absorption of radiation). Flow with radiative non­equilibrium (Basic non­linear equations, grey­ gas, 1D equations, normal shock wave). ________________________________________________________________

AS5690 Radiation Heat Transfer 3 0 0 3

Physics of thermal radiation, methods for evaluation of view factors, radiation exchange between gray, diffuse and partly specular solid surfaces, basic equations for radiation heat transfer in absorbing, emitting and scattering media, radiative properties of molecular gases, spectral models for radiative heat transfer (Narrow Band models, Wide Band models), approximate methods for radiation heat transfer in participating media (optically thick limit, optically thin limit, PN approximtion, SN approximation), treatment of non gray gases. Radiation heat transfer application in space propulsion, microgravity combustion and re­entry problems. ________________________________________________________________

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AS5810 Theories of Modern Plate Structures 3 0 0 3 (Prereq. AS503)

Variational formulation of the classical theory of isotropic plates, and counterparts for anisotropic, sandwich and layered plates, and plates made up of functionally graded or piezoelectric materials. Combined bending and stretching.

Shear Deformation Theories: First­order Theory and Higher­order Theories based on global approximation and discrete layer approaches. Three­dimensional analysis.

Comparison of various theories for simple rectangular plate/strip problems.

AS5820 Analysis of Plates and Sheels 3 0 0 3 (Prereq. AS503)

Classical bending theory of thin flat rectangular and circular plates and with various edge conditions and loading.

Membrane and bending theories of thin shells of revolution. Analysis of circular cylindrical shells.

AS5830 Approximate Methods in Structural Analysis 3 0 0 3

Principle of minimum total potential. Principle of minimum complementary potential. Rayleigh­Ritz , Galerkin, Collocation methods, etc. Finite­difference method. Finite element method. Computer based solutions to examples including field problems, nonlinear problems.

AS5840 Thermal Stress Analysis 3 0 0 3 Prereq. AS 503

The basic equations of two­dimensional and three­dimensional thermoelasticity. Application of two­dimensional problems of elasticity, thermal stresses in beams, membranes and plates. Thermal buckling.

AS5850 Finite Element Analysis 3 0 0 3

Matrix methods of analysis : Stiffness and flexibility. Truss, frame and grid work examples. Finite elements : Discretisation of the continuum, analysis of plane and axisymmetric problems, isoparametric concepts and applications, bending elements. Computer implementation.

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AS5860 Composite Structures 3 0 0 3 Prereq. COT

Review of material properties and macro mechanics of composites. Anisotropic theory of elasticity. Plate anisotropic elasticity problems. Analysis of rotating disc. Stress analysis of anisotropic beams, columns, plates and shells. Classical and improved theories of laminated structures. Comparison of the structural behaviour of composite structures with conventional isotropic structure. Vibration and stability analysis. Analysis of wave propagation through composite media. Stress concentration around holes and cut­outs. Stress analysis of bolted and bonded joints. Finite element method of analysis. Analysis of sandwich structures.

AS5870 Energy Methods in Structural Analysis 3 0 0 3

The variational principle and the derivation of the governing equations of static and dynamic systems. Different energy methods : Rayleigh­Ritz, Galerkin etc. Application : Problems of stress analysis, determination of deflection in determinate and indeterminate structures, stability and vibrations of beams, columns and plates of constant and varying cross­sectional area.

AS5880 Mechanics of Damage Tolerance 3 0 0 3

Basics of Damage Tolerance : Strength vs. Damage Tolerance, Historic Introduction and Molecular Interpretation.

Mathematical preliminaries : Vectors and Tensors, Complex Variables & Functions, Taylor's and Laurent's Series Expansions, Poles & Residues, Contour Integration Review of Ealsticity: Stress & Strain, Equilibrium, Elasticity, Plasticity and Yield Criteria, Strain Energy, Plane Stress and Plane Strain, Solution methods, Airy stress functions, Complex potentials.

Stress Analysis of Cracked Bodies : Stress Concentration in Circular and Elliptic Holes, Stress Intensity Factor, Fracture Modes, Other Analytical, Numerical and Experimental methods.

Energy Concepts : Strain Energy Release Rate, J Integral, Virtual Crack Closure, Equivalence of Energy and Stress approaches.

AS5890 Mechatronics Design 1 0 5 3

Programming in C, analog circuits and electronic components, logic gates, introduction to microprocessor architecture, sensors and actuators (transduction principles, energy conversion­motors , solenoids), A/D and D/A conversions, real­ time programming concepts, direct digital control implementation, and principles

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and tools of mechanical design, namely CAD and solid modeling. This course is heavily hands­on project oriented.

Laboratory work and small projects will be assigned to help solidify learning throughout the course such as programming, working with microprocessors, and interfacing sensors and actuators. In addition, teams will design, build and demonstrate their solution to the assigned problem.

AS5900 Elasticity 3 0 0 3

Field equations of three dimensional elasticity; Theory of stress and strain, Generalised Hooke’s law, comptability conditions, boundary conditions.

AS5910 Aeroelasticity 3 0 0 3

Brief review of vibration of single, multidegree and continuous systems. Introduction to aeroelasticity. General nature and classification of aeroelastic problems. Deformation of aircraft structure under static and dynamic loads. Approximate methods of computing natural mode shapes and frequencies. Steady­state aeroelastic phenomenon with specific reference to wing divergence and control system reversal, solutions to problems of wing divergence and control systems reversal. Flutter phenomenon and fundamentals of flutter analysis. Stability of dynamic systems: Routh­ Hurwitz criteria.

AS5920 Dynamics of Elastic Systems 3 0 0 3

Review of single degree and two­degree freedom systems. Generalised coordinates and Largrange’s equation. Normal modes and orthogonality relations. Differential equation, integral equation and energy methods to solutions of beam and plate problems. Introduction to nonlinear and random vibrations.

AS5930 Elastic Stability 3 0 0 3

Stability of columns: Closed and open sections, flexural, torsional and conbined. Inelastic buckling. Buckling of flat and stiffened plates. Approximate solutins. Rayleigh­Ritz, Galerkin, finite­ddference and finite element methods to determine buckling loads. Crippling of thin­walled sections. Use of master column charts. Introduction to post­buckling of columns and plates, snap buckling of shallow arches and shells.

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AS5940 Non­Linear behaviour of Plates and Shells 3 0 0 3

Introduction, Review of linear theory of structural mechanics and its foundation. General approach to the formulation and solution of problems of nonlinear structural mechanics involving (a) geometric nonlinearity (b) material nonlinearity and (c) combination of (a) and (b). Brief outline of problems showing the static and dynamic behaviour of plates and shells like large deflection, large amplitude vibration and post­buckling problems of plates (rectangular, circular and skew) and shells (cylindrical and shallow spherical)

AS5950 Continuum Mechanics 3 0 0 3

Tensor Algebra, tensor Calculus, Kinematics of Deformation and Motion, Fundamental Laws and Equations (Conservation of mass, conservation of momentum, conservation of energy, restrictions of elastic materials by second law of thermodynamics, constitutive equations) , Linear Elastricity, Kinematics of Fluid Motion, Classical Fluids, Linear Visco­elasticity, Non­linear Elasticity.

AS5960 Advanced Strength of Materials 3 0 0 3

Analysis of indeterminate beams: Clapeyron: S equation for continuous beams – Analysis of frames and rings – Analysis of curved beams – Composite beams. Wide beams – Torsion of noncircular solid and thin­wallved cross – sections, Warping function. ________________________________________________________________

AS5970 Structural Dynamics and Aeroelasticity 3 0 0 3

Review of vibration of discrete and continuous systems­Aspects of nonlinear dynamical system behaviour and solution techniques, some examples like Van der Pol oscillatior, Duffing and Mathieu systems – Introduction to some advanced topics like coupled oscillations, rotating beams, random vibrations, unsteady aerodynamics.

Static aeroelasticity, wind tunnel models, divergence instability and aileron reversal – Aeroelastic flutter, stability characteristics and aeroelastic analysis of a typical section, classical flutter analysis and engineering solutions – introduction to nonlinear aeroelasticity. ________________________________________________________________

AS5980 Contact Mechanics and Tribology 3 0 0 3

Introduction to Friction and Wear, History of Tribology. Elastic Contacts: Elasticity Equations, Hertzian Contacts, Integral Equation Methods. Plasticity: Yield Criteria, Hardness Testing, Shakedown Criteria. Surface Topography: Statistical Characterization, Rough Surface Contact. Friction: Friction Laws, Frictional Contact and Fretting, Frictional Heating. Wear: Wear Models/Maps, Experimental

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Characterization of Wear. Lubrication: Reynolds Equation, Elasto­hydrodynamic Lubrication. ________________________________________________________________

AS6010 Hypersonic Flow Theory 3 0 0 3 Pre req. AS203/ AS501

Introduction , Basic considerations and definitions. Hypersonic flight paths. Inviscid hypersonic flow theory: Shock expansion method, Surface inclination methods. Small disturbance equations and approximate methods. Similarity laws: Exact methods, Method of chacteristics, Blunt body problem and solution. Method computational methods. Introduction to viscous hypersonic flows.

AS6015 Aerodynamics of Missiles and Launch Vehicles 3 0 0 3

Introduction to missiles and launch vehicles, bodies of revolution, non circular shapes, lifting surfaces, low Aspect Ratio characteristics, wing – body – tail interference, prediction of overall characteristics of body dominated configurations and lifting surface dominated configurations, high angle of attack aerodynamics, dynamic derivatives, boundary layer, shock wave – boundary layer interactions aerodynamic heating, intake aerodynamics, engine­airframe integration, airframe flexibility effects on aerodynamics,. Stage separation dynamics. Configuration design methodology of tactical missiles. Design methodology of multistage vehicles.

AS6020 Introduction to Turbulent Flows and their Predictions 3 0 0 3 Prereq. COT

Basic features of turbulent flows. Ways of describing turblent flows : Statistical aspects, correlation, spectrum, conditional sampling. Experimental methods : Hot wire anemometer and Laser Doppler anemometer. Equations for compressible turbulent flows. Experimental data on turbulent intensities in some turbulent flows.

Prediction of turbulent flows: Statistical theory and its limitations, Integral methods, turbulence modelling, mixing length hypothesis, one­equation and two­ equation models, modelling of Reynolds stress. Computer codes and comparison between experimental data and predictions.

AS6030 Experimental Engineering in Aero/Gas Dynamics 3 0 1 4 Prereq. AS 501

High speed wind tunnels. Special purpose tunnels. Shock tubes, Ballistic ranges. Schlieren, shadowgraph, interferometry. Laser applications. Radiation and

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spectroscopy. Heat transfer measurements. Analogy techniques. Mechanical vibrations : Accelerometers, frequency analysis.

AS6040 Turbulent Flows and their Computation 3 0 0 3

1. Tensors functions and analysis.

2. Random data analysis. 3. Homogeneous Isotrophic Turbulence. 4. Homogeneous Anisotrophic Turbulence. 5. Spectral Analysis and Navier Stokes Equations. 6. Turbulence Modeling. 7. Second order (Reynolds Stress) Modeling. 8. DNS of Turbulent Flows. 9. LES of Turbulent Flows. 10. Coherent Structures in Turbulent Flows. 11. Dynamical Systems approach to Turbulent Flows.

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AS6310 System Simulation and Process Optimization 3 0 0 3 COT

Designing a workable system, Mathematical and system simulation. Optimization, Constrained and unconstrained optimization. Single and multivariable search techniques, Linear, nonlinear and dynamic programming. Optimization of lumped parameter system. Introduction to complex optimization problems.

AS6320 Acoustic Instabilities in Aerospace Propulsion 3 0 0 3 COT

Introduction to Acoustic ; Derivation of the wave equation in both cartesian and polar co­ordinates, applications to problems. Fundamentals of Combustion Instability; Basic principles, instability in solid and liquid rockets and ramjets, passive and active control of combustion instability, pulse combustors. Theoretical Analysis of Combustion Instability. Measurement techniques.

AS6330 Aeroacoustics 3 0 0 3 COT

Introduction to Acoustics: Derivation of the governing equations, Lighthill’s analogy. Aerodynamic sound in unbounded flows; The Ffowcs Williams –

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Hawkings equation, vorticity and entropy as sources of sound, sound generation in a fluid with rigid and flexible boundaries, vortex­sound theory of Powell. Aeroacoustics of internal flows; Waves in pipes, Howe’s formulation , orifice flows, musical aeroacoustics. Resonant and unstable systems; cavity resonances, edge tones, combustion instabilities.

AS6340 Combustion and Flow Diagnostics 3 0 0 3 COT

Fundamentals of digital data acquisition, Dynamic transducers for transient measurements; Fundamentals of digital image processing, Lasers and laser safety; Principle and application of Particle Image Velocimetry (PIV) and Laser Doppler Velociemtry (LDV); Fundamentals of spectroscopy; Rayleigh scattering; Raman Scaterring, Laaser Induced Fluorescene, and their application in species concentration and temperature measurements. Digital Background oriented Schileren; Optical patternation for spray diagnostics.

AS6510 Experimental Techniques in Structural Mechanics 3 0 0 3

Strain gauges : Mechanical, electrical, acoustic, pneumatic and other types of strain gauges. Associated circuits for electrical resistance strain gauges.

Photo­elasticity: Two­dimensional photo­elasticity. Reflection polariscope, photo­ stress coats. Analogies : Membrane, electrical analogies. Transducers; Pick­ups to measure displacement, velocity, acceleration and forces.

ID5050 Advanced Engineering Analysis 3 0 0 3

Sturm – Liouville problem, Orthogonal functions, Integral Transforms, Partial Differential Equations, Boundary value Problems, Applications of above to engineering problems.

Academic Publications – May 2010 – 200 copies