| S No |
Course No. |
Course Title |
Credits |
Course Descriptions |
| 1 |
MA-844 |
Advanced Engineering Mathematics |
3 |
Theory of linear algebra, eigen values, eigen vectors, orthogonality.
Vector calculus, Gauss’s divergence theorem, Stokes’s theorem, Cartesian tensors,Variational calculus,Linear programming ,Constrained and unconstrained Optimization ,Integral Transforms (Laplace, Fourier, Mellin, Hankel, Z-Transform),Numerical Integration are introduced.
|
| 2 |
MA-845 |
Advanced Numerical Techniques |
3 |
System of linear equations: Gauss elimination method, de composition methods, Jacobi and Gauss Siedal Method.Numerical solutions of non-linear system of equations.Eigen values and eigen vectors.Linearly dependent and independent vectors. Orthogonal vectors. Determination of eigen values and eigen vectors Numerical solutions of ordinary differential equations including finite difference methods for linear and non-linear problems Numerical solutions of partial differential equations including elliptic, parabolic and hyperbolic equations. |
| 3 |
AE-801 |
Theory of Elasticity |
3 |
This is the first course in Structures, which in its broad aspect deals with the study of elastic bodies. When the elementary methods of strength of materials are inadequate to furnish satisfactory information regarding stress distribution in engineering structures, then a resort is made to the more powerful methods of theory of elasticity. Basic equations of the theory of elasticity in different co-ordinate system, solution to plane stress and plane strain problems, Fourier transformation method and St. Venant's principle is also introduced in the course. Solution to plates of various profiles and end conditions along with the most commonly used numerical energy methods are explained. |
| 4 |
AE-820 |
Advanced Theory of Vibrations |
3 |
It begins with an introduction to some basic concepts, discussion about spring, mass and damper elements, and introduction to harmonic motion and its analysis. The course then covers Free and Forced vibration of single degree of freedom (SDOF) system, damped and un-damped system. After thoroughly covering SDOF system two and multi-degrees of freedom system are covered. Special additional topics are covered at the end of the course |
| 5 |
AE-840 |
Finite Element Methods |
3 |
This course will cover introduction to the theory of finite element method as applied to one and two dimensional problems of solid mechanics and heat transfer. However, main emphasize of the course will be towards solid mechanics. Displacement method approach will be used to develop the stiffness matrices of various elements. 1-D and 2-D Boundary value problems will be discussed in detail. Weak formulation of Boundary Value problems will also be covered. |
| 6 |
AE-823 |
Advanced Mechanics of Composites |
3 |
The objective of this course is to introduce composite materials to graduate students. It begins with an introduction to the composite material and their constituents. The course then covers unidirectional composites, in which various mechanical properties of unidirectional composite are discussed. The course then covers behavior of laminated composite plates under various loading conditions; in that classical lamination theory is used. Special additional topics are covered at the end of the course. |
| 7 |
AE-843 |
Theory of Plates and Shells |
3 |
Circular and rectangular plates using bending theory, method of statics and Navier's solution; large deflections; bending and membrane stresses; use of catalogue cases and solution through graphs/tables; thermal stresses; buckling; membrane theory for shells; open domes; elliptical and cylindrical shells; discontinuity stresses; reasons for using various types of plates or shells |
| 8 |
AE-845 |
Advanced Materials in Engineering |
3 |
This course is designed to develop an understanding of both conventional and advanced materials being used in engineering applications, with special emphasis on aerospace applications. Course contents include; internal atomic structure, crystal structures and imperfections and how they dictate material properties, phase diagrams and their analysis, a review of Ferrous and non-Ferrous alloys and their properties, property modifications by various by various treatments, TTT diagrams, introduction to structure and properties of polymeric materials, composite materials, ceramics and engineering ceramics, failure analysis and degradation of materials. Also during the course, various relevant case studies will be presented to reinforce the different concepts learnt. Also issues like materials selection, environmental and societal issues will be discussed throughout the length of the course. At the end of this course students should be well aware of the various types of materials that are available for design application, their properties and their possible limitations. |
| 9 |
AE-925 |
Mechanical Behavior of Engineering Materials |
3 |
This course will move forward from the concepts covered in “Advanced Engineering Materials”, with an emphasis on the mechanical behavior of individual classes of materials. It will cover in more detail the relationship of mechanical behavior to material structure and mechanisms of deformation and failure. Topics like elasticity, viscoelasticity, plasticity, creep, fracture, and fatigue will be covered in detail. Case studies and examples will be drawn from structural and functional applications that include a variety of material classes: metals, ceramics, polymers, thin films, composites, and cellular materials |
| 10 |
AE-810 |
Advanced Incompressible Fluids / Incompressible Aerodynamics |
3 |
This graduate level course is first in the sequence of two advanced aerodynamics courses. The main focus of this course is on incompressible flows. Incompressible flows form a major part of aerodynamics and their analysis is broadly classified under “inviscid” and “viscous” flows. In viscous incompressible flows, further subdivisions are made on the basis of flow Reynolds number (Re) i.e. Laminar boundary layer (High Re), Stokes flow (low Re) and turbulent flow (Very high Re). The basic governing equations of fluid/aerodynamics i.e. Navier Stokes equations are introduced and their various analytical solution techniques are explained in detail. Two-dimensional incompressible and inviscid flows are solved using complex analysis treatment. |
| 11 |
AE-811 |
Advanced Compressible Fluids / Compressible Aerodynamics |
3 |
This graduate level course is second in the sequence of two advanced aerodynamics courses. The main focus of this course is on compressible flow. Compressible flows form a major part of aerodynamics and their analysis is broadly classified under “inviscid” and “viscous” flows. Inviscid compressible flows include analysis of properties across shocks / expansion waves, variable area flows, linearized 2-D flow, part of hypersonic flow and unsteady wave motion. Viscous compressible flows involve solution of the complete system of governing equations including Navier-Stokes equations. Various examples of viscous compressible flow are illustrated |
| 12 |
AE-830 |
Computational Fluid Dynamics-1 |
3 |
This is a basic CFD course, orientated towards Finite Difference (FD) Techniques. The course commences with a general introduction to the classification of partial differential equations followed by an in-depth explanation of FD techniques. The latter half of this course is inclined towards the practical application of FD techniques for the solution of various model equations, followed by introduction to grid generation and a hint of Finite Volume (FV) Techniques. |
| 13 |
AE-853 |
Advanced Heat Transfer |
3 |
This graduate level course in heat transfer is designed to cover material beyond the undergraduate level. Different modes of heat transfer, i.e. Conduction, Convection and Radiation are broadly discussed. The main focus of this course is on Conduction and Convection with some introductory material on Radiation towards the end of the course. In Conduction 2-D steady and 1-D unsteady problems are introduced and their solution methods discussed. In Convection the equations of motion, energy and mass conservation are reviewed and problems involving forced and free convection are discussed with reference to various flow regimes |
| 14 |
AE-833 |
Potential Flows & Panel Methods |
3 |
This graduate level course introduces theoretical and numerical aspects of Potential flow analysis in aerodynamics and hydrodynamics, which is the basis of many initial design studies. Fundamentals of inviscid, incompressible flows are covered along with general solution of Potential flow equations. The superposition of basic solutions to get flows around simple shaped bodies is covered. For complex shapes like aircraft and submarines etc., the use of numerical “Panel Methods” is introduced. The formulation of various 2-D and 3-D “Panel Methods” is covered including “Vortex-Lattice” based methods. The students are exposed to practical application of 2-D and 3-D “Panel Method” codes like “Xfoil” “PanAir”, “AVL” etc. As a part of this course the students are expected to complete a project involving use of panel method code to determine the aerodynamic / hydrodynamic characteristics of an aerospace or marine submersible vehicle |
| 15 |
AE-930 |
Computational Fluid Dynamics-II |
3 |
The advance CFD course orientated towards Finite Volume Methods (FVM) aims to highlight key issues in Numerical Modelling. The course commences with a general introduction to the complex CFD process followed by an in-depth explanation of techniques for the solution of convection/diffusion problems using FVM. The latter half of this course is inclined towards the practical application of Finite Volume Methodology to complex problems utilizing; the various Turbulence modelling techniques in Reynolds-Averaged Navier-Stokes (RANS) modelling, Direct Numerical Simulation (DNS) and Large Eddy Simulation (LES). |
| 16 |
AE-959 |
Turbulent Fluid Flow |
3 |
This stringent fluid mechanics course relies heavily on the techniques introduced in Numerical Analysis, CFD-I and CFD-II. The course tries to encompass all relevant areas of turbulence including statistical methodologies and numerical techniques. Scales of motion, turbulence-production, its transport, dynamics and modelling approaches are few of the main areas covered in this course. The course also discusses wall bounded and boundary free turbulent shear flows. The course curtails with an introduction to spectral dynamics procedures. |
