Courses for BTech in Mechanical Engineering
Continuum Mechanics and Mechanics of Materials
Prerequisites: Nil (Mathematics vectors, differentials)
Fundamentals of Cartesian Tensors, Tensor Derivatives, Green-Gauss Theorem. Kinematics of deformation. Concepts: equilibrium, non-equilibrium. Definition of Strain, Eulerian and Lagrangian Coordinate Systems, Polar Decomposition Theorem, Rate of Deformation, Principal Strain, and Linear Compatibility Equations. Definition of Stress, Cauchy and Nominal Stresses; Balance Laws: Mass, Linear and Angular Momentum, Energy; Principal stresses, Deviatoric and Hydrostatic Stress; Reynolds Transport Theorem, Singular Surfaces in a Continuum. Laws of Thermodynamics for a continuum, Internal energy, enthaply and entropy. Conservation laws for mass, momentum, angular momentum, and energy.
Basics of linear behaviour of solids. Variational principles. Fundamentals of inviscid and viscous fluids, constitutive equations.
Text/ Reference Books:
- Reddy, JunuthulaNarasimha. An introduction to continuum mechanics. Cambridge university press, 2013.
- Spencer, Anthony James Merrill. Continuum mechanics. Courier Corporation, 2004.
- Lai, W. Michael, et al. Introduction to continuum mechanics. Butterworth-Heinemann, 2009.
- L. E. Malvern, Introduction to the Mechanics of Continuous Media, Prentice-Hall, 1969.
- Gonzalez, Oscar, and Andrew M. Stuart. A first course in continuum mechanics. Cambridge University Press, 2008.
- Fung, Yuan-cheng. "A first course in continuum mechanics." Englewood Cliffs, NJ, Prentice-Hall, Inc., 1977. 351 p. (1977).
- https://web.stanford.edu/class/physics211/coursework/syllabus.html
- https://www.me.berkeley.edu/sites/default/files/undergraduate/syllabi/ME%20185.pdf
Mechanics of Mechanisms and Machines
Prerequisites: Mathematics, linear algebra
Kinematic pairs, Kinematic diagram and inversions. Mobility and range of movements. Displacement, velocity and acceleration analysis of planar linkages, graphical and analytical methods. Dimensional synthesis for motion, function and path generation. Dynamics: Force analysis of planar mechanisms. Cam profile synthesis, graphical and analytical method. Gear tooth profile, interference in gears. Gear types, gear trains including compound epicyclic gears. Design of flywheel and governors. Inertia forces and their balancing for rotating and reciprocating machines. Free and forced vibration of SDOF system. Introduction to 2 DOF systems, vibration absorbers. Case studies of machines.
Text/ Reference Books:
- Ghosh, Amitabha, and Asok K. Mallik. Theory of mechanisms and machines. Affiliated East-West Press, 1994.
- Rao, J. S., and R. V. Dukkipati. "Mechanism and machine theory‖, new age international Pvt." Ltd. Publishers, Year (2004).
- Mabie, Hamilton H. OCVIRK. "Mechanisms and dynamics of machinery." (1987).
- Uicker, John Joseph, Gordon R. Pennock, and Joseph Edward Shigley. Theory of machines and mechanisms. Vol. 1. New York, NY: Oxford University Press, 2011.
Heat and Mass Transfer
Prerequisites: Continuum mechanics
Modes of heat transfer in applications. Setting up the heat trasnfer problem. Radiation: Emission, surface phenomena absorption, reflection and reflection. Wavelength and direction dependencies. Surface properties. Laws. View factor ceoncpt and its calculation. 3-surface network for diffuse-gray surfaces. Conduction: Heat diffusion equation, 1-D steady state conduction in extended surfaces, infinite and semi-infinite walls, heat generation, lumped capacitance model, simple transient conduction. Boiling and condensation: types, physical phenomena and co-relations. Mass transfer – Fick’s law, similarity with convection and correlations. Heat exchanger fundamentals, effectiveness-NTU formulation. Heat exchanger thermal hydraulics design and performance assessment.
Text/ Reference Books:
- David P. Dewitt, Theodore L. Bergman, Adrienne S. Lavine Frank P. Incropera. Principles of Heat and Mass Transfer, 7ed, Wiley, 2013.
- Frank P. Incropera, David P. Dewitt, Theodore L. Bergman, Adrienne S. Lavine. Fundamentals of Heat and Mass Transfer. Wiley, 2010.
- Yunus A Cengel; Afshin J. Ghajar. Heat and Mass Transfer: Fundamentals and Applications. 5th ed. McGraw-Hill, 2017.
Fluid Mechanics and Convection Heat Transfer
Prerequisites: Continuum mechanics
Momentunm and energy transport in fluids. Revision of continuum mechanics. (Continuum concepts, conservation equations of mass/continuity, linear and angular momentum, energy equation, Bernoulli’s equation). Fluid kinematics: Lagrangian and Eulerian descriptions, pathlines, streaklines and streamlines, acceleration. Integral flow analysis: Differential analysis of flow: Continuity, Navier-Stokes and energy equations. Non-dimencional numbers. Dimensional analysis and Similitude theory. Inviscid flows: Irrotational flow, circulation, velocity potential and applications. Viscous flows: Concept of boundary layers and its differential and integral equations; Laminar and turbulent flow. Separation, jet and wake concepts. External viscous flows. Internal flows in pipes and ducts. Drag and lift, separation. NPSH concept, similarity rules, applications. Forced and free convection. Analysis and correlations for external and internal flows.
Text/ Reference Books:
- Rolf H. Sabersky, Allen J. Acosta, Edward G. Hauptmann, E.M. Gates. Fluid Flow: A first Course in Fluid Mechanics. 4th ed., Pearson, 1998.
- Robert W. Fox, Alan T. McDonald, Philip J. Pritchard, Fluid Mechanics, 8th ed., Wiley, 2013.
- Frank M. White. Fluid Mechanics. 8th ed., McGraw-Hill, 2017.
- Frank P. Incropera, David P. Dewitt, Theodore L. Bergman, Adrienne S. Lavine. Fundamentals of Heat and Mass Transfer. Wiley, 2010.
Materials and Processes of Manufacture-I
Prerequisites: Continuum mechanics
Product realization with metals. Classifications, materials in use and their properties and manufacturing processes. Material properties, Microstructure, Correlation between microstructure and properties, interfaces and intermetallics, Property modifications-heat treatment, coating, surface treatment. Casting techniques and analysis. Mould design and drawings. Forming techniques and analysis, Forging technique and analysis. Die and rolls design and drawings. Machining methods, Conventional and Non-conventional and their analysis. Assembly and fabrication techniques. Welding and allied processes. Product testing and quality control. Applications in general engineering, aerospace, automobile and biomedical industries. Generation of process sheet.
Text/ Reference Books:
- Kalpakjian, Serope. Manufacturing processes for engineering materials. Pearson Education India, 1984.
- Groover, Mikell P. Fundamentals of modern manufacturing: materials processes, and systems. John Wiley & Sons, 2007.
- Heine, Richard W., Carl R. Loper, and Philip C. Rosenthal. Principles of metal casting. Tata McGraw-Hill Education, 1955.
- Weisman, Charlotte. Welding handbook. American Welding Society, 1976.
- Dieter, George Ellwood, and David J. Bacon. Mechanical metallurgy. Vol. 3. New York: McGraw-hill, 1986.
- Avitzur, Betzalel. "METAL FORMING.. PROCESSES AND ANALYSIS." MCGRAW-HILL, INC., NEW YORK. 1968, 500 P(1968).
The Product Engineering Process
Prerequisites: UG core course
Introduction, Failed prototype test, Creativity and product theme, Group brainstorming tutorial , Team-building challenge roles, Meetings and finding information, Customer observation and estimation, 3-idea presentation overview, and estimation challenge, Sketch models, Product teardown, 3-idea presentation introduction, Ideas feedback, Build challenge, Sketch model review logistics, Mockups and customer needs, Specifications, Mockup review overview, Scheduling and time estimation, Detailed mockup review logistics, Design for assembly, Project consulting, Assembly review, Safety, technical review, Debugging, Technical review logistics
Text/ Reference Books:
- Eppinger, Steven, and Karl Ulrich. Product design and development. McGraw-Hill Higher Education, 2015.
Dynamics and Control
Prerequisites: Mathematics, Differntial equations, Laplace transform, Fourier transform
Mathematical modeling of mechanical systems. Model representation and response. Transfer function; Block diagrams; Signal flow graph; Transient response analysis, Frequency response. Design/performance specifications in time and frequency domain; Steady state error and error constants. Vibration analysis of mechanical systems. Basic feedback control systems. Proportional, integral, derivative, PD and PID control. Sensors and actuators for temperature, pressure, flow and motion control systems; Realization of standard controllers using hydraulic, pneumatic, electronic, electro-hydraulic and electro-pneumatic systems. Stability. Time response analysis of linear dynamic systems. Routh’s criterion; Nyquist stability criterion, Bode plots. Control system design using Root Locus and Frequency response; Lead and lag compensation; Gain margin, Phase margin. Introduction to Modern control: State space representation; Control with state feedback; Applications.
Text/ Reference Books:
- Katsuhiko Ogata, Modern Control Engineering, Prentice Hall, 2010
- M. Gopal, Control Systems: Principles and Design, Tata McGraw-Hill Education, 2002
- I.J. Nagrath, Control Systems Engineering, New Age International, 2006
- Norman S. Nise, Control Systems Engineering, 6th Edition, John Wiley & Sons,.2010
- Nakra B.C., Introduction to Automatic Control Engineering, New Age Publishers
Materials and Processes of Manufacture-II
Prerequisites: Continuum mechanics
Non-metallic materials types, classification and properties. Product realization with Polymerss: Type of polymers - Thermoplastics, Thermosets and Elastomers; Correlation between microstructure and property; Property enhancement by blending, alloying, reinforcing; Manufacturing techniques -mold /die design fundamentals; extrusion, injection molding, blow molding, rota molding, etc. and drawings. Coatings on plastics. Product realization with fiber-type materials types and characterization of fibres; Design of composites. Composites processing: Lamina, laminate and lamination theory. Processes: Autoclave molding, Pultrusion, Filament winding, Compression molding; Carbon – Carbon Composites. Ceramics types, classification and manufacturing processes for product realization. Ceramic coatings. Applications.
Text/ Reference Books:
- Kalpakjian, Serope. Manufacturing processes for engineering materials. Pearson Education India, 1984.
- Groover, Mikell P. Fundamentals of modern manufacturing: materials processes, and systems. John Wiley & Sons, 2007.
- D.V. Rosato, Nick R. Schott, Marlene G. Rosato (Eds.). Plastics Engineering, Manufacturing & Data Handbook. Springer, 2013.
Machine Design and Realization
Prerequisites: Continuum mechanics, Mechanics of Mechanisms
Creative design process. Project planning and execution under constraints. Rubustness and manufacturability. Conceptualization of a machine in terms of geometrical requirements specified in terms of functional degrees of freedom, degrees of constraints and stiffness. Synthesis of an assembly from machine components to meet the functional requirements. Use of bought-out components. Sizing machine components and selecting material through use of free body diagrams, failure modes and effects analysis. Static and and repeated loading. Materials, their properties and selection criteria, and processes for realization. Geometrical Dimensioning and Tolerancing (GD&T). Design and selection of machine elements (i.e. cams, gears, belt-pulleys, bearings, springs, shaft/axle, plates, nuts and bolts, brake/ clutch) as exemplars. Case studies through use of parametric software to carry out iteration in the design space. Design and build project.
Text/ Reference Books:
- Shigley J.E., Mischke C.R., and Budynas R.G., Mechanical Engineering Design, McGraw-Hill, 2004.
- Norton R.L.‐ Machine Design: An integrated approach, 3rd Ediiton
- Dieter G. E., and Schmidt L., Engineering Design, MCGRAW-HILL Higher Education, May-2012.
- Ashby M F, Material Selection in Mechanical Design, Elsevier, Third Edition, 2005.
System Modeling and Analysis
Prerequisites: Many theory courses
Simulation techniques for physical systems. Modeling of mechanical systems, e.g. rigid bodies, bearings, kinematic pairs, constraints and drivers, actuators and loads. Oscillatory systems. Moeling sensors, visualization and animation. Simulation of mechanical machines for kinematics, dynamics and stress analysis. Thermal system system modeling and simulation. Simulation of manufacturing processes such as molding, forming, etc. Multi-physics simulation - mechanical-hydraulic, electro-mechanical systems. Applications and case studies.
Text/ Reference Books:
- Ernest Doebelin, System Dynamics: Modeling, Analysis, Simulation, Design. CRC Press, 1998.
- P. P. J. van den Bosch, A. C. van der Klauw. Modeling, Identification and Simulation of Dynamical Systems. CRC Press, 1994.
Experimentation and measurement: Laboratory-I
Prerequisites: Continuum mechanics
Physical parameters measured in mechanical, hydraulic and thermal systems. Sensors and instruments - construction, principle, calibration, installation and use. Uncertainty analysis: Uncertainty in measurements and in the result. Familiarization with professional methods. Signal conditioning, amplification and filtering, Analog and digital signals and their inter conversion. Triggers. Data acquisition systems: A/D converters,their characteristics, selection and use. Process instrumentation. Hands-on working on the above. Examples of mechanisms, machines, flow, heating/cooling systems, energy conversion systems and machines, combustion processes. Discovery type experiments. Failure analysis. Professional report writing and Data archiving. Introduction to standards for engineering equipment and systems testing.
Text/ Reference Books:
- Holman, J. P., Experimental Methods for Engineers, 7th ed., McGraw-Hill, 2017
- Doebelin, E. O., Engineering Experimentation: Planning, Execution, Reporting, 1995.
- ASME PTC 19-1 Test Uncertainty, 2005
- ASME PTC19-2 to 19-6
Engineering experimentation: Laboratory-II
Prerequisites: Laboratory-I
Engineering experimentation process for research, product testing and development. Ideas for experimentation from practioners. Steps of experimentation. Problem parameters and expectation of goodness of result. Experiment concept design. Test procedures from standards. Pre-test uncertainty analysis in experiment design. Concept selection an detailed engineering of set-up including instruments and DAS. Fabriction, procurement and assembly of the set-up. Qualification tests. Test matrix generation. Performing tests and report writing. Students to work in teams and perform 2-3 experiments designed by other teams.
Text/ Reference Books:
- Holman, J. P., Experimental Methods for Engineers, 7th ed., McGraw-Hill, 2017
- Doebelin, E. O., Engineering Experimentation: Planning, Execution, Reporting, 1995.
Elective Courses for BTech Mechanical Engineering:
Hydrodynamics
Prerequisites: UG core course
Introduction to Marine Hydrodynamics, Basic Fluid Properties, Hydrostatic Pressure, Basic Principles of Hydrodynamics, Free Surface Waves and Wave Forces on Offshore Structures and Vehicles, Linear Wave Theory: Boundary Value Problem; Simplifying Assumptions, Dispersion Relationship, Unsteady Bernoulli's Equation, Dynamic Pressure, Incident Wave Forces on Bodies, Added Mass, Damping, and Hydrostatic Restoring Coefficients (Strip Theory), Equations of Motion for Seakeeping; Natural Frequency, Viscous Flows and Free Surface Flows, Viscous Lift and Drag, Drag and Resistance of Streamlines and Bluff Bodies, Vortex Induced Vibrations (VIV); Morrison's Equation (Offshore Platforms), Ship Resistance Testing, Rudders and Propellers, Cavitation and Flow Noise ,Navier Stokes Equations: Separated Flows and Boundary Layers, Geophysical Fluid Dynamics, Major Ocean Circulations and Geostrophic Flows, Heat Balance in the Ocean, Influence of Wind Stress, Coriolis Force, Tidal Forces, Geostrophic Currents, Equations of Motion.
Text/ Reference Books:
- Smits, A. J. A Physical Introduction to Fluid Mechanics. New York, NY: John Wiley & Sons, 1999.
- White, F. Fluid Mechanics. 5th ed. New York, NY: McGraw-Hill, 2002.
Introduction to Robotics
Prerequisites: UG core course
Actuators and Drives, Control Components, De-mining Robot: Embedded Robot Controller, I/O Interface, and PWM Amplifiers ,Control Software, De-mining Robot: Controller Software and Sensor Inputs, Sensors, De-mining Robot: Implement Basic Sensor-based Controls; Plan Strategy for De-mining Task, Kinematics, De-mining Robot: Refine De-mining Operations, Differential Motion – 1, Rescue Robot: Stage A - Concept Design, Statics, Energy Method, Rescue Robot: Stage B - Prototype Implementation, Hybrid Position-force Control, Compliance, End-effecter Design, Rescue Robot: Stage B - Prototype Implementation (cont.), Non-holonomic Systems, Rescue Robot: Stage C - System Integration, Legged Robots, Multi-fingered Hands, Dynamics, Computed Torque Control, Rescue Robot: Stage C - System Integration (cont.), Sensors, Computer Vision, Navigation, Rescue Robot: Stage D – Testing, Tele-robotics and Virtual Reality
Text/ Reference Books:
- Asada, H., and J. J. Slotine. Robot Analysis and Control. New York, NY: Wiley, 1986.
Introduction to Biomechanics
Prerequisites: UG core course
Introduction: What is Biomechanics, History, Perspectives in Biomechanics; Rigid Body BioMechanics; Anatomical Concepts in Biomechanics.Material Characterization of Tissues: Classification of Tissues, Properties of Tissues from Mechanics Point of View, Modeling of Tissues. Mechanics of Skeletal Muscles: Skeletal Muscles as Elastic fibres in one dimension, Viscous behavior, Non-linear viscoelasticity; Continuum Mechanics Concepts in Modeling of large deformation; Stress in three-dimensional continuous media. Motion: The time as an extra dimension; Deformation and rotation, deformation rate and spin; Constitutive modeling of solids and fluids. Cardiovascular Mechanics: Cardiovascular Physiology, Blood Flow Models, Blood Vessel Mechanics, Heart Valve Dynamics, Prosthetic Valve Dynamics.
Text/ Reference Books:
- Fung, Yuan-cheng. Biomechanics: mechanical properties of living tissues. Springer Science & Business Media, 2013.
- Hall, Susan. Basic biomechanics. McGraw-Hill Higher Education, 2014..
Energy Conversion
Prerequisites: UG core course
Vapour Power Cycles: Review of Carnot and ideal Rankine cycle, effect of various parameters on efficiency of Rankine cycle, deviation of actual cycle from ideal cycle, principal irreversibilities and losses, superheat, reheat and regenerative vapor power cycle, reheat factor, binary vapor and supercritical cycles, co-generation. Boilers: Classification, boiler performance, modern high pressure boilers, mountings and accessories, safety devices, natural, forced, induced and balanced drafts. Steam Turbine: Types, impulse and reaction turbines, stage, pressure and velocity compounding. Gas Power Cycles: Gas turbine cycles, intercooling, reheat and regeneration, deviation of actual cycles from ideal cycles, combined cycle power plants. Internal Combustion Engines: Classifications, working of two stroke and four stroke engines, various components, their functions and materials, Thermodynamics of fuel-air cycles, real cycles, various losses in actual engines. Combustion processes in SI engine and its various stages, spark ignition, normal and abnormal combustion, knock pre-ignition, combustion stages in CI engines, ignition delay, types of combustion systems. Fuels for SI and CI engines, their characteristics, alternative fuels, conventional and electronic fuel management systems for SI and CI engines. Emissions from SI and CI engines, supercharging and turbocharging, cooling and lubrication, testing and performance of engines, modern developments in IC engines.
Text/ Reference Books:
- Moran, M.J., and Shapiro, H.M., “Fundamentals of Engineering Thermodynamics”, 4th Ed., John Wiley & Sons, 2000
- Wark, K. Jr., and Donald, E.R., “Thermodynamics”, 6th Ed., McGraw-Hill, 1999
- El-Wakil, M.M., “Power Plant Technology”, McGraw-Hill 2002
- Pulkrabek, W.W., “Engineering Fundamentals of the Internal Combustion Engines”, 2nd Ed., Pearson Education 2004
- Cengel, Y.A., and Boles, M.A., “Thermodynamics: An Engineering Approach, 3rd Ed., Tata McGraw-Hill
Energy Systems and Technologies
Prerequisites: UG core course
Energy sources : Fuels : Fossil fuels, Nuclear fuels, Direct Solar, Indirect solar - Biomass, Ocean, Tidal, Hydro, Wind etc. Energy demand/ Growth/ economics ; Fuel upgradation: gasification of coal and biomass; biogas Energy conversion: Direct Conversion: Solar PV, Fuel Cells, Thermoelectric Conversion, Thermal to electric: IC Engines, Gas and Steam Turbines; Electromechanical conversion; Hydraulic turbines, Chemical to Thermal: Combustion and stoichiometry Energy utilization : Refrigeration, HVAC, Desalination, Polygeneration; pumps and compressors Energy storage : Thermal/ Mechanical/ Electric/ Chemical Environmental Impact : Air/ water/ soil / nuclear waste.
Text/ Reference Books:
- Eastop, Thomas D., and Allan McConkey. "Applied Thermodynamics for engineering technologies." (1986).
- Culp Jr, Archie W. "Principles of energy conversion." (1991).
- Jochen Fricke and Walter Borst, Essentials of energy technology, Wiley-VCH, 2013
CAM and Automation
Prerequisites: UG core course
Automation need and types of automation, economics of automation, FMS, CIM. Basics of electro-mechanical automation technologies, Circuit design and applications of hydraulic, pneumatic, electro-pneumatic, electro-hydraulic and programmable logic control (PLC) systems. Numerical control, NC and CNC hardware and programming, Machine controls, HMI design and implementation, DNC system, Control engineering in production systems: open loop and closed loop control systems, Automated material handling technologies, Group technology, Computer aided process planning, Inspection automation and reverse engineering, Rapid prototyping and tooling concepts and applications, virtual manufacturing.
Text/ Reference Books:
- Anthony Esposito, Fluid Power with Applications, 6th edition, Pearson Prentice Hall, 2009
- John W. Webb, Ronald A Reis, Programmable Logic Controllers - Principles and Applications, 5th Edition, Pearson Education, 2008
- John R. Hackworth, Frederick D. Hackworth Jr, Programmable Logic Controllers -Programming Methods and Applications, 7th impression, Pearson Education, 2011
- Mikell P. Grover, Automation, Production Systems, and Computer Integrated Manufacturing, 3rd Edition, Prentice Hall India, 2008
Control Engineering
Prerequisites: UG core course
Mathematical Modelling of Systems Laplace Transforms, transfer functions, block diagram representation. Block diagram reduction, Time response characteristics. Introduction to stability, Routh Hurwitz stability criterion. Root locus plots, stability margins. Frequency response analysis: Nyquist stability criterion, Bode plots and stability margins in frequency domain. Basics of control design, the proportional, derivative and integral actions. Design using Root Locus Design using Bode plots. Effects of zeros, minimum and non-minimum phase systems. Application of basic filter design to Navigation and Movement. Introduction to state space methods, Linearization of nonlinear systems.
Text/ Reference Books:
- Katsuhiko Ogata, Modern Control Engineering, , Pearson Education Inc.
- I.J.Nagrath and M.Gopal, Control Systems Engineering, , New Age Publications
- FaridGolnaraghi and Benjamin C Kuo, Automatic Control Systems, 9th Edition, John Wiley and Sons
Courses for MTech Mechanical Engineering:
Advanced Continuum Mechanics
Prerequisites: Basic (UG level) continuum mechanics
Concept of continuum, kinematics of deformation, concept of stress and strain tensors – their transformation and decomposition. Finite strain tensor and its linearization with examples. Rate of deformation tensor – velocity gradient and spin tensor. Derivation of conservation laws – mass continuity, linear and angular momentum conservation. Derivation of linear equations of elasticity and Navier Stokes equations in different co-ordinates. Principle of minimum potential energy. Virtual work theorem. Uniqueness and reciprocal theorem. Constitutive laws for linearly elastic solids and Newtonian viscous incompessible fluids. Reynolds transport theorem, Introduction to boundary layers, Conservation of scalar formulation, applications in solid and fluid mechanics problems. Solid-fluid interaction systems. Applications.
Text/ Reference Books:
- A.J.M. Spencer, Continuum Mechanics, Dover publishers, 2004
- G. E Mase and G. T. Mase, Continuum Mechanics for Engineers, 2nd ed., , CRC Press, 1999
- G. A. Holzapfel, Nonlinear Solid Mechanics: A Continuum Approach for Engineering, Wiley, 2000.
- J.N. Reddy, An introduction to continuum mechanics, Cambridge Univ. Press, 2007
- S. Bechtel, and R. Lowe, Fundamentals of continuum mechanics, Academic Press, 2015
Discretization and Numerical Methods
Prerequisites: UG level numerical methods
Overview of UG mathematics: Ordinary differential equations and basic linear algebra: bisection method, Newton-Raphson method, secant method. Linear systems: Gaussian elimination, pivoting, LU decomposition, inverse of a matrix, norms, Jacobi iteration, Gauss-Seidel iteration, Relaxation, conjugate gradient iteration, pre-conditioning. Numerical differentiation and integration: Taylor theorem – differencing, error analysis, higher order derivatives, Lagrange interpolating polynomials, mean value theorem, Newton-Cotes quadrature, Gaussian quadrature, Legendre polynomials. Introduction to engineering applications. Finite difference, finite element and finite volume techniques. Eigenvalue problems, Orthogonality, power method, inverse power method, deflation, Householder method- QR algorithm, Jacobi method, generalized Eigenvalue problem. Ordinary differential equations: Linear/non-linear and homogeneous/inhomogeneous conditions. Euler’s explicit method, Euler’s implicit method, generalized trapezoidal method, higher order Taylor methods, Runge-Kutta methods, multistep methods, predictor-corrector methods, higher order equations and systems of differential equations. Boundary value problems, shooting methods, invariant-embedding method, finite-difference method, finite-element methods. System of ODEs for first order linear differential equations. Finite difference approximations, Error, Stability for ODEs and PDEs, Matrix Eigenvalue Problems; Nonlinear Equations; Polynomial Approximation and Interpolation; Types of partial differential equations (PDE), first-order partial differential equations, classification of second-order PDEs, parabolic, hyperbolic, and elliptic PDEs; Separation of variables, method of characteristics, Eigen values and functions, their physical interpretation and implication for numerical solutions. Validation and verification: Scope and techniques, standards. Applications from mechanical engineering: Domain selection, Boundary conditions, Well posedness, Meshing techniques.
Text/ Reference Books:
- Moin, Parviz. Fundamentals of Engineering Numerical Analysis, Cambridge University Press, 2nd ed., 2010.
- Strang, Gilbert.Computational Science and Engineering. Wellesley, MA: Wellesley-Cambridge Press, 2007. ISBN: 9780961408817.
- Atkinson, K. and Han, W., Elementary Numerical Analysis, 3rd Ed. John Wiley & Sons Inc., 2004.
- Gerald, C. F. and Wheatley, P. O., Applied Numerical Analysis, 7th Ed., Addison-Wesley, 2004.
- Gerald, C. F. and Wheatley, P. O., Applied Numerical Analysis, 7th Ed., Addison-Wesley, 2004.
- A Friendly Introduction to Numerical Analysis", Brian Bradie, Prentice Hall 2006, ISBN 9780130130549
- K. Singh, Linear algebra, Oxford Univ. Press, 2014
- S.L. Ross, Differential equations, John Wiley, 1984
Experimentation, Measurment and Instrumentation
Prerequisites: UG level experimentation and measurement course
Instruments and DAS in mechanical engineering: aerospace, energy conversion, machinery, research and development, etc. Fundamental parameters and their measurement: Geometrical parameters and dimensions, profile, surface texture. Pressure. Temperature. Flowrate. Force. Acceleration. Displacement. Velocity. Basic principles of instruments and interpretation of specifications. Advanced measurements and their principles: Turbulence. Material composition. Composition of gases, liquids and solids. Particulate matter. Vibration. Noise. Micro-scale measurements. Optical techniques microscopes, SEM, TEM, etc. Uncertainty in measurement and result. Asymmetric uncertainties. Rounding-off. Data analysis and interpretation, test of hypothesis. Regression. Correlations. Optical techniques: Flow visualization, mechanism motion, temperatures, etc. and image analysis. Facilities: Wind tunnels construction basis, use and limitations. Vibration test beds. Anechoic chamber. Test beds for IC engines, compressors, etc. In-use deterioration and accelerated life testing. Instrument selection and installation. Laboratory work: Hands-on work in the preparation and installation of instruments and trouble shooting. Experiment planning: repeatability, qualification tests and DAS set-up. Test rig assembly. Report writing and data archiving.
Text/ Reference Books:
- Hugh W. Coleman and W. Glenn Steele. Experimentation, Validation, and Uncertainty Analysis for Engineers. 3rd ed. John Wiley, 2009.
- Holman, J. P., Experimental Methods for Engineers, 7th ed., McGraw-Hill, 2017
- Doebelin, E. O., Engineering Experimentation: Planning, Execution, Reporting, 1995.
- ASME PTC 19-1 Test Uncertainty, 2005
- ASME PTC19-2 to 19-6
- ISO JCGM 100:2008. Evaluation of measurement data: Guide to the expression of uncertainty in measurement (GUM).
- Standards and manufacturers' catalogues.
- Nakra, B.C., and K.K. Chaudhary, Instrumentation, Measurement and Analysis, Tata McGraw-Hill
Advanced Fluid Mechanics
Prerequisites: UG core course
Mathematical Preliminaries, Kinematics, Navier Stokes equations and some standard solutions, Low Reynolds number flows and Lubrication, Vorticity dynamics, Introduction to boundary layers, Hydrodynamic stability, 1-D compressible flows. Introduction to turbulence.
Text/ Reference Books:
- P.K. Kumdu, I.M. Cohen, and D.R. Dowling, Fluid mechanics, 5ht ed., Elsevier, 2012
- R.L. Panton, Incompressible flow, 3rd ed., Wiley, 2006
- D.J. Tritton, Physical fluid dynamics, 2nd ed., Clarendon, 1988
- F.M. White, Viscous fluid flows, Wiley
- K. Murlidharadnd G. Biswas, Advanced Engineering fluid mechanics, Alpha Science, 2005
Engineering Materials: Properties, Processes and Selection
Prerequisites: UG core course
Elastic moduli, coefficient of thermal expansion: how properties are related with the bonding between the atoms, packing of atoms in solids, crystal structure, Plastic deformation of materials: yield strength, tensile strength, ductility and toughness of materials, perfect crystal, role of dislocations, strengthening methods, continuum aspects of plastic flow, Fatigue, fracture and creep of materials, ductile and brittle failure, micromechanism of failure, fatigue failure, Creep deformation and failure, mechanism of creep, Oxidation and corrosion of materials, carbon steels, alloy steels, TRIP steel, Dual phase steel, Bainitic steel, Martensitic steel, aluminum alloys, titanium alloys, carbon nanotubes, structure and properties of novel engineering materials: Composite materials, hybrid materials, metal foams, nanocrystalline materials, smart materials, case studies of materials applications in automotive, aerospace, power generation sectors etc.
Text/ Reference Books:
- V. Raghavan, Materials science and engineering: A first course, 2015
- M.F. Ashby and D.R.H. Jones, Engineering Material 1: An introduction to Properties, application and design, 3rd ed., 2005
- M.F. Ashby and D.R.H. Jones, Engineering Material 2: An introduction to the microstructures, Processing and design, 3rd ed., 2005
- W.D. Callister, Materials Science and engineering,: An introduction, 9th ed., 2004
- M.F. Ashby, Materials selection in mechanical design4th ed. Butterworth Hienemann, 2011
- M.F. Ashby, H. Shercliff, and D. Beacon, Materials Engineering Science, Processing and design, Butterworth Hienemann, 2013
Combustion Theory and Practice
Prerequisites: UG core course
Chemical thermodynamics and chemical kinetics; chemical mechanisms. Coupling chemical and thermal analysis of reacting systems. Premixed systems: detonation and deflagration, laminar flames, burning velocity, flammability limits, quenching and ignition. Turbulent premixed flames. Non-premixed systems: laminar diffusion flame jet, droplet burning. Combustion of liquid fuels: basics of droplet compbustion. Combustion of solids: drying, devolatilization and char combustion. Engineering applications.
Text/ Reference Books:
- Turns, Stephen R, An Introduction to Combustion, McGraw-Hill, 2012.
- Kuo, Kenneth K, Principles of Combustion, John WIley, 2000.
Poinsot, T and Veynante, D., Theoretical and Numerical
Advanced Dynamics
Prerequisites: UG core course
Review of Newtonian dynamics; Degrees of freedom; Generalized coordinates and constraints; Holonomic and nonholonomic systems; Principle of Virtual work; D’Alembert’s principle; Euler-Lagrange equations of motion; Hamilton’s principle; Rotating coordinate systems; Euler angles; Coordinate transformation; Kinematics of a rigid body; Euler’s equations of rotation; Computer-oriented dynamic modeling; Orthogonal-complement based formulation of dynamic equations; Geometric theory; Stability; Lyapunov’s direct method; Introduction to flexible-body dynamics.
Text/ Reference Books:
- T.R. Kane, Dynamics, 1978
- T.R. Kane, Analytical Elements of Mechanics: Dynamics (Volume 2), Academic Press, 2013.
- Rao, K. Sankara, Classical Mechanics, Prentice Hall India, Ltd., 2009
- Shabana, A., Dynamics of Multibody Systems, Cambridge University Press, 2005
- Chaudhary, H., and Saha, S.K., Dynamics and Balancing of Multibody Systems, Springer, 2009
Advanced Finite Element Methods
Prerequisites: UG core course
Variational calculus; Weak formulation of governing equations and its linearization; discretization of nonlinear weak form and its solution; convergence requirement of shape functions; systematic generation of higher order elements; mixed FEM/penalty method; non-uniform and adaptive discretization – p and H convergence; solid-fluid interaction problems; Generalized and extended finite element methods.
Text/ Reference Books:
- T.R. Chandrupatla, and A.D. BelegunduIntroduction to finiite elements in engineering, PHI Learning, 2011
- J.N. Reddy, An introduction to the finite element method, Tata McGraw-Hill, 2005
- O.C. Zienkiewicz, R.L. Taylor, and J.Z. Zhu, Finite element method: Its basis and fundamentals, Elsevier, 2005
Advanced Solid Mechanics
Prerequisites: UG core course
Large deformation kinematics, lagrangian stress and strain tensors, balance laws in lagrangian framework, nonlinear constitutive modeling, nonlinear theory of beams and buckling, wave propagation, theory of plasticity, solution of elasticity problems – contact modeling, multiscale modeling etc. Mechanics of coposite materials
Text/ Reference Books:
- A.J.M. Spencer, Continuum meachanics, Dover, 1980
- K. F. Graff, Wave motion in elastic solids, Dover, 1991
- L.M. Kachanov, Fundamentals of the theory of plasticity, Dover, 2004
- R.M. Jones, Mechanics of composite materials, CRC Press, 2015
Computational Methods in Fluid Mechanics and Heat Transfer
Prerequisites: UG core course
Review of governing equations for fluid flow, finite volume method and its application to steady 1-D, 2-D and 3-D convection-diffusion problems, extension of FVM to unsteady 1-D, 2-D and 3-D convection diffusion problems, pressure-velocity coupling, staggered and colocated grids, solution of discretized equations, physical description of turbulence, Reynolds-Averaged Navier-Stokes equations, closure problem; RANS based turbulence models; DNS and LES.
Text/ Reference Books:
- S.V. Patankar, Numerical heat transer and fluid flow, Hemisphere Publishing, 2011
- D.C. Wilcox, Turbulence modeling for CFD
- H.K. Veersteeg, and W. Malasekara, Intriduction to computatonal fluid dynamics: Finite volume method, Prentice Hall, 2007
Fracture Mechanics
Prerequisites: UG core course
Fracture: an overview, theoretical cohesive strength, defect population in solids, stress concentration factor, notch strengthening, elements of fracture mechanics, Grifiths crack theory, stress analysis of crack, energy and stress field approaches, plane strain and plane stress fracture toughness testing, crack opening displacement, elastic-plastic analysis, J-integral, ductile-brittle transition, impact energy fracture toughness correlation, microstructural aspects of fracture toughness, environmental assisted cracking, cyclic stress and strain fatigue, fatigue crack propagation, analysis of engineering failures.
Text/ Reference Books:
- R.W. Hertzberg, Deformation and Fracture Mechanics of Engineering Materials, John Wiley & Sons, 1976
- T.L. Anderson, Fracture Mechanics, 3rd Ed., Fundamentals and Applications, CRC Press, Taylor and Francis group, 2005.
- H. L. Ewald and R. J. H. Wanhill, Fracture Mechanics, Edward Arnold Publishers, 1986.
Vibration and Noise
Prerequisites: UG core course
Elements of vibration analysis: modeling practical systems through discrete system/lumped parameters approach and its subsequent analysis for different types of excitations encountered in practice. Alternate mathematical models of damping, two and multi-DOF systems, tuned mass dampers. Introduction to vibration isolation: displacement/force isolation, approaches for MDOF system analysis with emphasis on modal approach. Numerical and Continuum Analysis: Finite Element Method for dynamic analysis. Distributed parameter models of rods, bars, beams, membranes and plates. Introduction to Modal testing, Vibration Testing. Spatial, Modal and Response models of vibrating systems. Non-linear and Random vibrations: Introduction to non-linear vibrations, response to random excitation. Engineering acoustics: Wave approach to sound, wave equation, Noise measurement and instrumentation standards. Sound pressure, power and intensity and its measurement, Sound Intensity, Various Sound Fields, Concept of Monopoles, Dipoles and Quadrupoles, Sound Power measurement, Transmission loss, Design of partitions, barriers, acoustic enclosures, Design of Mufflers; Sound Absorbing Materials, Noise Control approaches, case studies
Text/ Reference Books:
- M.P. Norton and D.G. Karczub, Fundamentals of Noise and Vibration Analysis for Engineers. Cambridge, 2003
- Frank Fahy, John Walker, Fundamentals of Noise and Vibration CRC Press, 1998
- M.J. Crocker, Handbook of Noise and Vibration control, John Wiley, 2007
Advanced Control Engineering
Prerequisites: UG core course
An introduction to control systems; transfer function representation of mechanical and mechatronic systems; stability analysis, gain setting for stability; transient and steady-state response analyses; control system analysis and design by the Root-Locus method and the FrequencyResponse method; PID controllers design and realization; State-Space representation, controllability and observability; control system design in State Space; digital implementation of classical controllers.
Text/ Reference Books:
- K. Ogata, Modern control engineering, 5th ed., 2009
- Karl Johan Astrom and Richard M. Murray, Feedback Systems: An Introduction for Scientists and Engineers (draft)
- Norman S Nise, Control Systems Engineering, Edition: 6, Publisher: John Wiley & Sons, ISBN-10:0470547561, ISBN-13:978-0470547564
- B C Nakra, Theory And Applications Of Automatic Control, New Age International Pvt Ltd, ISBN-10:8122411444, ISBN-13:9788122411447 4.
- I J Nagrath, M Gopal, Control Systems Engineering, New Age International Pvt Ltd 2006, ISBN-10:8122417752
Turbulence and Its Modeling
Prerequisites: UG core course
Nature of turbulence, Governing equations, Fourier, Lagrnagian and Eulerian description of turbulence, Statistical description of turbulence, Kolmogorov’s hypotheses, turbulence processes, turbulence closure modelling.
Text/ Reference Books:
- S.B. Pope, Turbulent flows, Cambridge Univ. Press, 2000
- D.C. Wilcox, Turbulence modeling for CFD, D.C.W. Industries, 2006
- H. Tennekes and J.L. Lumley, A first course in turbulence, MIT Press, 1972
- F.M. White, Viscous fluid flow, Tata McGraw-Hill, 2011
- A.A. Townsend, The structure of turbulent shear, Cambridge Univ. Press, 1976
- G.K. Batchelor, Theory of homogeneous turulence, Cambridge Univ. Press, 1953
- P.A. Davidson, Turbulence, Cambridge Univ. Press, 2004
Robotics
Prerequisites: UG core course
Introduction to robots; Classification of kinematic systems; Mechanisms and manipulators; Kinematic constraints; Degrees of freedom and mobility; Rotation representation; DH parameters; Matrix methods for forward and inverse kinematics analyses; Dynamic modeling; Euler-Lagrange and Newton-Euler equations of motion; DeNOC-based dynamic formulation; Inverse and forward dynamics; Parallel robots; Inverse and forward kinematics of parallel robots; Sensors and actuators; Control of robotic systems; Precision and accuracy of robots.
Text/ Reference Books:
- J.J. Craig,Introduction to Robotics: Mechanics and Control, Pearson, New Delhi, 2009
- Ghosal, Robotics, Oxford, New Delhi, 2006
- M. Spong, M. Vidyasagar, S. Hutchinson, Robot Modeling and Control, Wiley & Sons, 2005
Topics in Advanced Manufacturing Technologies
Prerequisites: UG core course
Advanced topics in related to methods and processes of manufacturing technologies, such as, casting, moulding, forming, additive manufacturing, precision manufacturing, material joining, etc.
Text/ Reference Books:
- Goetsch, David L. David L. Advanced manufacturing technology. Delmar Publishers,, 1990.
- Krar, Stephen F., and Arthur Gill. Exploring advanced manufacturing technologies. Industrial Press Inc., 2003.
- Combusiton, RT Edwards, 2005.
Topics in Nano-Scale Mechanical Behaviour of Materials
Prerequisites: UG core course
Topics related to elasticity, defects incrystals, slip and twin, strengthening mechanisms, plastic deformation, work hardening, etc.. Experimental techniques and mesurement. Engineering applications
Text/ Reference Books:
- Nye, Physical properties of crystals: Their representation by tensors and matrices, Oxford, 1985
- W. Cai, and D. Nix, Imperfections in crystalline solids, Cambridge, 2016
- Kelly , and K. Knowles, Crystallography and crystal defects, Wiley, 2012
- D. Hull, and D.J. Bacon, Introduction to dislocations, Butterworth Hienemann, 2001
Topics in Nano-Scale Transport Phenomena
Prerequisites: UG core course
Topics related to theory and modeling of micro and nano scale phenomena in solids and fluid flow. Topics could include: Fluids: size effect behaviour, kinetic theory, quantum mechanics considerations, Boltzmann transport equation, molecular dynamics modelling, Knudsen number, slip theory. Quantum size effects, thin films, microtubes and channels, preparation & transport properties, microfluidics - electrokinetic flows, microscaleradiative heat transfer.
Text/ Reference Books:
- Latif M. Jiji, Heat Convection, Springer.
- Zhuomin M. Zhang, Nano / Microscale Heat Transfer, Mcgraw Hill, 2007.
- George Karniadakis, Ali Beskök, N. R. Aluru, Microflows and Nanoflows: Fundamentals and Simulation, Springer, 2005.
- S. Kakac, L.L. Vasiliev, Y. Bayazitoglu, Y. Yener., Microscale Heat Transfer, Fundamental and Applications, Springer, 2005.
- Yarin, L.P., Mosyak, A., Hetsroni, G., Fluid flow, heat transfer and boiling in minro-channels, Springer, 2008