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Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics. By Darryl Holm. Thermodynamically consistent coefficient calibration in nonlinear and anisotropic closure models for turbulence. By Kolumban Hutter. Subgrid-scale modeling for implicit Large Eddy Simulation of compressible flows and shock turbulence interaction. By Stefan Hickel. The analysis and modelling of dilatational terms in compressible turbulence. By Gordon Erlebacher. Download pdf. Remember me on this computer. Enter the email address you signed up with and we'll email you a reset link.

## ME Syllabus | Welcome to Jawaharlal Nehru University

Additional problems are given in separate handouts. Topics covered. Review of mechanical principles, introduction of a continuum, scale analysis and Buckingham Pi theorem, use of Taylor series, hydrostatic equilibrium, friction laws, strength of natural rocks, stress, Mohr circle, strain, elasticity tensor, simple deformation problems erosion and burial , Newton's law in a continuous medium, P and S-waves, hydraulic head, Darcy's law, flow in porous media, refraction of fluid flow, viscosity, Eularian and Lagrangian formulations, Navier Stokes equation, Bernoulli's law.

The final grade is determined in equal amounts by homework, quizzes, and a final exam. 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.

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.

Alternate mathematical models of damping, two and multi-DOF systems, tuned mass dampers. 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. Advanced Control Engineering. 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.

Turbulence and Its Modeling. 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.

Topics in Advanced Manufacturing Technologies. Advanced topics in related to methods and processes of manufacturing technologies, such as, casting, moulding, forming, additive manufacturing, precision manufacturing, material joining, etc. Topics related to elasticity, defects incrystals, slip and twin, strengthening mechanisms, plastic deformation, work hardening, etc..

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- Continuum Mechanics, Dimensional Analysis, Turbulence.
- Hutter, Kolumban [WorldCat Identities].
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Experimental techniques and mesurement. Topics in Nano-Scale Transport Phenomena. 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. Skip to main content. ME Syllabus. An introduction to continuum mechanics.

Cambridge university press, Spencer, Anthony James Merrill. Continuum mechanics. Courier Corporation, Lai, W. Michael, et al. Introduction to continuum mechanics. Butterworth-Heinemann, Gonzalez, Oscar, and Andrew M. A first course in continuum mechanics.

Cambridge University Press, Fung, Yuan-cheng. Theory of mechanisms and machines. Affiliated East-West Press, Rao, J. Mabie, Hamilton H. Uicker, John Joseph, Gordon R. Pennock, and Joseph Edward Shigley.

## Continuum Methods of Physical Modeling: Continuum Mechanics, Dimensional Analysis, Turbulence

Theory of machines and mechanisms. Dewitt, Theodore L. Bergman, Adrienne S. Lavine Frank P. Principles of Heat and Mass Transfer, 7ed, Wiley, Frank P. Incropera, David P.

Fundamentals of Heat and Mass Transfer. Wiley, Yunus A Cengel; Afshin J. Heat and Mass Transfer: Fundamentals and Applications. McGraw-Hill, Robert W. Fox, Alan T. McDonald, Philip J. Pritchard, Fluid Mechanics, 8th ed. Frank M. Fluid Mechanics. Manufacturing processes for engineering materials. Pearson Education India, Groover, Mikell P.

Fundamentals of modern manufacturing: materials processes, and systems. Heine, Richard W. Loper, and Philip C. Principles of metal casting. Tata McGraw-Hill Education, Weisman, Charlotte. Welding handbook. American Welding Society, Dieter, George Ellwood, and David J.

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Mechanical metallurgy. New York: McGraw-hill, Avitzur, Betzalel. Product design and development. McGraw-Hill Higher Education, Dynamics and Control Prerequisites: Mathematics, Differntial equations, Laplace transform, Fourier transform Mathematical modeling of mechanical systems. Rosato, Nick R. Schott, Marlene G. Springer, Norton R. System Modeling and Analysis Prerequisites: Many theory courses Simulation techniques for physical systems.

CRC Press, Modeling, Identification and Simulation of Dynamical Systems. Experimentation and measurement: Laboratory-I Prerequisites: Continuum mechanics Physical parameters measured in mechanical, hydraulic and thermal systems. A Physical Introduction to Fluid Mechanics. White, F. Robot Analysis and Control. New York, NY: Wiley, Biomechanics: mechanical properties of living tissues. Hall, Susan. Basic biomechanics. 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.

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Culp Jr, Archie W. Hackworth, Frederick D. Nagrath and M. Spencer, Continuum Mechanics, Dover publishers, G. E Mase and G. Mase, Continuum Mechanics for Engineers, 2nd ed. Reddy, An introduction to continuum mechanics, Cambridge Univ. Press, S. Bechtel, and R. Strang, Gilbert.

## Continuum Methods of Physical Modeling

Computational Science and Engineering. ISBN: Atkinson, K. Gerald, C. Singh, Linear algebra, Oxford Univ. Glenn Steele. Experimentation, Validation, and Uncertainty Analysis for Engineers. John Wiley, Holman, J. Evaluation of measurement data: Guide to the expression of uncertainty in measurement GUM. Standards and manufacturers' catalogues. Nakra, B. Kumdu, I. Cohen, and D. Dowling, Fluid mechanics, 5ht ed. Panton, Incompressible flow, 3rd ed. Tritton, Physical fluid dynamics, 2nd ed. White, Viscous fluid flows, Wiley K. Murlidharadnd G. Raghavan, Materials science and engineering: A first course, M.

Ashby and D. Jones, Engineering Material 1: An introduction to Properties, application and design, 3rd ed. Jones, Engineering Material 2: An introduction to the microstructures, Processing and design, 3rd ed. Callister, Materials Science and engineering,: An introduction, 9th ed. Ashby, Materials selection in mechanical design4th ed.

Butterworth Hienemann, M. Ashby, H.