GATE 2021 syllabus for Metallurgical Engineering (MT) gives you details of the latest GATE syllabus for the subject release by the official gate organizing institute IIT Bombay for the year 2021. We also created an easy to use ad-free mobile app for GATE syllabus, previous year papers with keys, gate calculator, virtual calculator, and more. Download iStudy App for all GATE preparation needs.
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GATE 2021 Syllabus – Metallurgical Engineering (MT)
Section 1: Engineering Mathematics
Matrices and Determinants, Systems of linear equations, Eigen values and Eigen vectors.
Limit, Continuity and Differentiability; Partial derivatives; Maxima and minima; Sequences and series; Test for convergence; Fourier series.
Gradient; Divergence and Curl; Line, Surface and volume integrals; Stokes, Gauss and Green’s theorems.
Linear and non-linear first order ODEs; Higher order linear ODEs with constant coefficients; Cauchy’s and Euler’s equations; Laplace transforms; PDEs -Laplace, one dimensional heat and wave equations.
Probability and Statistics
Definitions of probability and sampling theorems, conditional probability, Mean, median, mode and standard deviation; Random variables; Poisson, normal and binomial distributions; Analysis of experimental data; linear least squares method
Solutions of linear and non-linear (Bisection, Secant, Newton- Raphson methods) algebraic equations; integration by trapezoidal and Simpson’s rule; single and multi-step methods for differential equations.
Section 2: Metallurgical Thermodynamics
Laws of thermodynamics
First law – energy conservation, Second law – entropy; Enthalpy, Gibbs and Helmholtz free energy; Maxwell’s relations; Chemical potential; Applications to metallurgical systems, solutions, ideal and regular solutions; Gibbs phase rule, phase equilibria, binary phase diagram and lever rule, free-energy vs. composition diagrams; Equilibrium constant, Activity, Ellingham and phase stability diagrams; Thermodynamics of point defects, surfaces and interfaces, adsorption and segregation phenomena.
Single electrode potential, Electrochemical cells, Nernst equation, Potential-pH diagrams
Section 3: Transport Phenomena and Rate Processes
Concept of viscosity, shell balances, Bernoulli’s equation, mechanical energy balance equation, flow past plane surfaces and through pipes.
Conduction, Fourier’s Law, 1-D steady state conduction
Heat transfer coefficient relations for forced convection
Black body radiation, Stefan-Boltzman Law, Kirchhoff’s Law
Diffusion and Fick’s laws, Mass transfer coefficients
Buckingham Pi theorem, Significance of dimensionless numbers
Basic laws of chemical kinetics
First order reactions, reaction rate constant, Arrhenius relation, heterogeneous reactions, oxidation kinetics
Section 4: Mineral Processing and Extractive Metallurgy
Comminution techniques, Size classification, Flotation, Gravity and other methods of mineral beneficiation
Agglomeration: sintering, pelletizing and briquetting
Material and Energy balances in metallurgical processes
Principles and processes for the extraction of nonferrous metals – aluminum, copper and titanium
Iron and steel making
Material and heat balance in blast furnace; Structure and properties of slags and molten salts – basicity of slags – sulphide and phosphate capacity of slags; Production of metallurgical coke
Other methods of iron making (COREX, MIDRE)
Primary steel making
Basic oxygen furnace, process dynamics, oxidation reactions, electric arc furnace
Secondary steel making
Ladle process – deoxidation, argon stirring, desulphurization, inclusion shape control, principles of degassing methods; Basics of stainless steel manufacturing
Fluid flow in the tundish and mould, heat transfer in the mould, segregation, inclusion control
Section 5: Physical Metallurgy
Ionic, covalent, metallic, and secondary bonding in materials, Crystal structure of solids -metals and alloys, ionic and covalent solids, and polymers
X-ray Diffraction – Bragg’s law, optical metallography, principles of SEM imaging
Point, line and surface defects; Coherent, semi-coherent and incoherent interfaces
Diffusion in solids
Diffusion equation, steady state and error function solutions; Examples- homogenenization and carburization; Kirkendall effect; Uphill diffusion; Atomic models for interstitial and substitutional diffusion; Pipe diffusion and grain boundary diffusion
Driving force, Homogeneous and heterogeneous nucleation, growth kinetics
Solidification in isomorphous, eutectic and peritectic systems, cast structures and macrosegregation, dendritic solidification and constitutional supercooling, coring and microsegregation
Solid state transformations
Precipitation, spinoidal decomposition, ordering, massive transformation, discontinuous precipitation, eutectoid transformation, diffusionless transformations; Precipitate coarsening, Gibbs-Thomson effect
Principles of heat treatment of steels, TTT and CCT diagrams
Surface hardening treatments; Recovery, recrystallization and grain growth; Heat treatment of cast iron and aluminum alloys
Electronic, magnetic and optical properties of materials Basic forms of corrosion and its prevention
Section 6: Mechanical Metallurgy
Strain tensor and stress tensor, Representation by Mohr’s circle, elasticity, stiffness and compliance tensor, Yield criteria, Plastic deformation by slip and twinning
Edge, screw and mixed dislocations, source and multiplication of dislocations, stress fields around dislocations; Partial dislocations, dislocation interactions and reactions
Work/strain hardening, strengthening due to grain boundaries, solid solution, precipitation and dispersion
Fracture behavior, Griffith theory, linear elastic fracture mechanics, fracture toughness, fractography, ductile to brittle transition
Cyclic stress strain behavior – low and high cycle fatigue, crack growth
Mechanisms of high temperature deformation and failure
creep and stress rupture, stress exponent and activation energy
Section 7: Manufacturing Processes
Mould design involving feeding, gating and rise ring, casting practices, casting defects
Hot, warm and cold working of metals
Metal forming – fundamentals of metal forming processes of rolling, forging, extrusion, wire drawing and sheet metal forming, defects in forming
Principles of soldering, brazing and welding, welding metallurgy, defects in welded joints in steels and aluminum alloys
production of powders, compaction and sintering
Non-destructive Testing (NDT)
Dye-penetrant, ultrasonic, radiography, eddy current, acoustic emission and magnetic particle inspection methods
GENERAL APTITUDE (Common for all branches)
Basic English Grammar
Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Words, idioms, and phrases in context
Reading and Comprehension
Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical Computation and Estimation
Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and Geometry
Elementary Statistics and Probability
Deduction and Induction
Numerical Relations and Reasoning
Transformation of Shapes
Translation, rotation, scaling, mirroring, assembling, and grouping
Paper folding, cutting, and patterns in 2 and 3 dimensions
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