1401: ENGINEERING MATHEMATICS III

Module 1

Complex Analytic functions and conformal mapping: curves and regions in the complex plane, complex functions, limit, derivative, analytic function, Cauchy - Riemann equations, Elementary complex functions such as powers, exponential function,logarithmic, trigonometric and hyperbolic functions. Conformal mapping: Linear fractional transformations, mapping by elementary functions like Z2, ez, sin z, cos z, sin hz, and Cos hz, Z+1/Z.

Module 2

Complex integration: Line integral, Cauchy's integral theorem, Cauchy's integral formula, Taylor's series, Laurent's series, residue theorem, evaluation of real integrals using integration around unit circle, around the semi circle, integrating contours having poles, on the real axis.

Module 3

Partial differential equations:Formation of partial differential equations. Solutions of equations of the form F(p, q) = 0, F(x,p,q)=0, F(y,p,q)=0, F(z,p,q)=0, F1(x,p) = F2 (y,q),Lagrange’s form Pp+Qq = R. Linear homogeneous partial differential equations with constant co-effients.

Module 4

Vibrating string : one dimensional wave equation, D’Alembert’s solution, solution by the method of separation of variables. One dimensional heat equation, solution of the equation by the method of separation of variables, Solutions of Laplace’s equation over a rectangular region and a circular region by the method of separation of variables.

Text Books:

1. R.K.Jain, S.R.K.Iyengar: Advanced Engineering Mathematics, Narosa Publishers.1991
2. C.R.Wilie & L.C.Barrett: Advanced Engineering Mathematics, MGH Co.

References:

1. Ervin Kreyszig, Wiley Eastern - Advanced Engineering Mathematics
2. Churchill R.V- Complex Variables & Applications: MGH Publishers.
3. M.C.Potter - Advanced Engineering Mathematics, , J.L.Goldberg Oxford University Press


1402 :METROLOGY & INSTRUMENTATION

Module 1

General measurements concepts: precision and accuracy, Methods for estimating accuracy and precision,measuring errors.General principle of measurements: line and end measurements, standards; linear measurements, basic units,and quantities for displacement, mass, time, temperature & optics; Limits, Fits & Tolerance: systems of limits andfits, Hole basis and shaft basis system of representation ; tolerances for linear dimensions, calculation of tolerance grade, representaion.Gauges: classification, types of gauges, gauge maker’s tolerances, wear allowance, gauges materials.

Module 2

Measurement of angles & tapers: sine bars, angle gauges: auto collimator, clinometer & spirit level; taper gauges,bevel protractors.Measurement of surface finish: surface structure, integrity, texture, roughens, waviness, lay, RMS & CLA values,roughness values produced by machining processes Optical measuring instruments: interferometry, optical flats, optimeters, and optical projectors, tool maker’s microscope, limitations

Module 3

Applications of measuring instruments-functional elements of an instrument-instrument as transducergeneralized measuring instrument-generalized mathematical model of measuring systems-zero order, first order and second order instruments-classification of instruments- input output configurations-methods of correction for spurious inputs -static calibration and determination of bias systematic error and random error-static and dynamic characteristics, potentiometer transducer as a zero order instrument-analysis of its loading error- mercury in glass thermometer as a first order instrument-step, ramp, frequency response-seismic instrument as a second order instrument.

Module 4

Measurement of strain : strain gauge classification –un bonded and bonded strain gauges-gauge factor-strain rosettes-temperature compensation-calibration. Measurement of force : multiple lever system for weighing- load cells-temperature sensitivity calibration- ballistic weighing- hydraulic and pneumatic load cells. Measurement ofTorque: water break-Heenan and Froude hydraulic dynamometer-beam and strain gauge transmissio dynamometer. Measurement of Temperature : pressure thermometer-RTDs-compensation for lead resistance thermocouples- five laws of thermocouples and their applications-series and parallel connected thermocouplespyrometry-optical pyrometer-infrared pyrometry-total radiation pyrometers. Air pollution measurements : gas chromatography-ORSAT’s apparatus. Nuclear instrumentation: Gieger Muller Counter-ionization chamber-scintillation counter.Acoustical measurements : basic acoustical parameters-sound pressure-sound pressure levelpower- intensitypower level-microphones-sound


1403 : MECHATRONICS

Module 1

Introduction to Mechatronics – scope -Mechatronics and Engineering Design. Sensors and transducers –classification-thermal, electrical, optical, acoustic, pneumatic, magnetic, and piezo electric sensors. Open loop and closed loop control systems -continuous and discrete processes -servo mechanism – principles -components -errordetectors -potentiometers-types. Pneumatic and hydraulic systems -mechanical and electrical systems.

Module 2

System modelling -mathematical models -mechanical, electrical, fluid and thermal system building blocks -system models -dynamic response of systems -first and second order systems -modelling dynamic systems - system transfer functions - frequency response Closed loop controllers -proportional, derivative and integral controls -PID controller -digital controllers - controller tuning - adaptive control of machine tools.

Module 3

Stability analysis: concepts of stability, characteristic equations, stability, analysis, determination of stability by Routh-Hurwitz criterion, Root locus, frequency response using Bode plot, and stability from Bode plot, Nyquivist criteria.Mechatronics system components: DC and AC servo motors, tacho generators, synchros and stepper motors.

Module 4

Stages in designing mechatronic systems - traditional and mechatronic design -possible design solutions, robot position and proximity sensing -tactile sensing. Man-machine interface. Micro controllers and microprocessors - digital logic circuits -micro controller architecture and programming -programmable logic controllers. Automatic control and real time systemscase studies of mechatronic systems -pick and place robot -automatic car park system -engine management system.


1404 :APPLIED THERMODYNAMICS

Module 1

First and second law of thermodynamics, Carnot theorem, Thermodynamic temperature scale, Internal Energy and entropy, Claussius inequality, entropy charge in various thermodynamic processes of ideal gases, Application of first and second law of thermodynamics for steady flow processes, reversibility, irreversibility & Availability, Tds equations, (Helmoholtz, Gibbs function & Maxwell relations) Claussius clapeyron equations.

Module 2

Pure substance – PV, PT and TS systems – PVT surface – Properties of steam – steam table and Mollier diagram –Analysis of vapour process – thermodynamic analysis of steam power cycles – Rankine, reheat, and regenerative –binary vapour cycles – modern steam generators – performance calculations of boilers.

Module 3

Steam nozzles – mass flow rate – throat pressure for maximum discharge – throat area – effect of friction – super saturated flow – effect of back pressure Steam turbines – types and classification– velocity diagram – force on blades, W.D. by blades, blade or diagramefficiency- effect of friction on blades.

Module 4

Ideal, perfect and real gases, Properties of Mixtures of Gases and Gas and vapours: Dalton’s law of Partial Pressure,Amagat’s law of Partial volume, Volumetric and Gravimetric analysis of Gas mixtures, Gibb’s Dalton Law, Mean value of Gas constant, Equivalent Molecular weight, Density, Specific volume, specific heat and Molar heat capacity of gas mixture, Advanced Problem on Adiabatic Mixing.


1405 : HYDRAULIC MACHINERY

Module 1

Dimensional Analysis & Similitude : Rayleigh’s method, Buckingham’s Pi theorem, nondimensional parameters in fluid mechanics and machinery – principles of similitude – geometric, kinematic and dynamic similarities – model studies. Physical meaning of important dimensional groups of fluid mechanics and their practical use.Dynamic action of fluid : Momentum equation applied to a control volume, impact of jets, flow of an incompressible fluid over fixed and moving vanes, work done and efficiency.

Module 2

Hydraulic turbines: Impulse and Reaction turbines, Pelton wheel, Francis turbine and Kaplan turbine, their constructional features, Velocity triangles, Performance characteristics – non dimensional parameters for comparative study of turbine study of turbine performance, Specific speed, Unit speed, Unit power, theory of draft tubes, speed regulation of turbines, Cavitation, Selection of type and speed of turbines.

Module 3

Pumping machinery: general features of positive displacement and rotodynamic pumps, centrifugal pumps,classification, principle of working, velocity diagrams, work done, efficiency, minimum speed, specific speed, losses in pumps, circulatory flow, multistage pumps, propeller pumps, priming, Cavitation and its significance.Reciprocating pumps: Working, single acting and double acting pumps, Slip, Acceleration head, effect of friction,use of air vessels, Indicator diagrams, efficiencies, pump characteristics.

Module 4

Hydraulic Press, Hydraulic Ram, Hydraulic Intensifier, Hydraulic lift, Hydraulic Accumulator, Hydraulic Crane,Hydraulic Coupling, Hydraulic Torque Converter, Surge tank, Vane pump, gear pump, Working principles of axial and radial pumps, Application to hydraulic devices, Fluid transients, Free and Forced Vortex Apparatus


1406 : MANUFACTURING PROCESS

Module 1

Metal casting process: Introduction-advantages and limitations-applications-casting terms Patterns: Pattern allowance-pattern materials-types of patterns- colour codes Moulding materials: Moulding sand composition-testing sand properties-sand preparation-moulding sand properties-types of sand moulds-moulding machines Cores: Core sand, types of cores, core prints, chaplets, forces acting on the moulding flasks Gating system: Elements of gating system, gates, pouring time, sprue, gating ratio, slag trap system, risering design-caine’s method, modulus method, chills-feeding aids

Module 2

Product design for sand casting: designing for economical moulding –designing for eliminating defects-features to aid handling Casting cleaning and casting defects-fettling-defects in casting Special casting process: Shell moulding –precision investment casting –permanent mould casting –die casting –centrifugal casting-continuous casting Casting metallurgy

Module 3

Metal forming process: nature of plastic deformation-hot working and cold working Rolling: principle, rolling stand arrangement, rolling load, roll passes Forging: operations, smith forging, drop forging, press forging, machine forging, forging defects, forging design Extrusion-hot and cold extrusion, tube extrusion, wire drawing swaging Sheet metal operation- shearing operation, drawing, spinning, bending, stretch forming, embossing and coining

Module 4

Metal fabrication process: introduction to fabrication process, gas welding and cutting. Electric arc weldingprinciple of arc, arc welding equipment, electrodes, carbon arc welding, TIG GMAW, SAW, arc cutting Resistance welding: principle –spot, seam, projection, upset, flash welding Other welding process: Thermit welding, electro slag welding, EBW, laser beam welding, forge welding, friction welding, diffusion welding, explosion welding Welding design: heat input, heat flow, distortion, metallurgy of welding, defects in welding, brazing, braze welding and soldering