GATE Syllabus for Metallurgical Engineering
GATE Metallurgical Engineering syllabus is divided into 6 sections as mentioned below:
Section 1: Engineering Mathematics:
- Linear Algebra
- Calculus
- Vector Calculus
- Differential Equations
- Probability and Statistics
- Numerical Methods.
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.
- Electrochemistry: Single electrode potential, Electrochemical cells, Nernst equation, Potential-pH diagrams
Section 3: Transport Phenomena and Rate Processes
- Momentum transfer: Concept of viscosity, shell balances, Bernoulli’s equation, mechanical energy balance equation, flow past plane surfaces and through pipes.
- Heat transfer: Conduction, Fourier’s Law, 1-D steady state conduction
- Convection: Heat transfer coefficient relations for forced convection
- Radiation: Black body radiation, Stefan-Boltzman Law, Kirchhoff’s Law
- Mass transfer: Diffusion and Fick’s laws, Mass transfer coefficients
- Dimensional analysis: Buckingham Pi theorem, Significance of dimensionless numbers
- Basic laws of chemical kinetics: First order reactions, reaction rate constant, Arrhenius relation, heterogeneous reactions, oxidation kinetics
- Electrochemical kinetics: Polarization
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 non- ferrous 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
- Continuous Casting: Fluid flow in the tundish and mould, heat transfer in the mould, segregation, inclusion control
Section 5: Physical Metallurgy
- Chemical Bonding: 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
- Crystal Imperfections: Point, line and surface defects; Coherent, semi-coherent and incoherent interfaces
- Diffusion in solids: Diffusion equation, steady state and error function solutions; Examples- homogenization and carburization; Kirkendall effect; Uphill diffusion; Atomic models for interstitial and substitutional diffusion; Pipe diffusion and grain boundary diffusion
- Phase transformation: 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 aluminium 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
- Dislocation theory: Edge, screw and mixed dislocations, source and multiplication of dislocations, stress fields around dislocations; Partial dislocations, dislocation interactions and reactions
- Strengthening mechanisms: Work/strain hardening, strengthening due to grain boundaries, solid solution, precipitation and dispersion
- Fracture behaviour, Griffith theory, linear elastic fracture mechanics, fracture toughness, fractography, ductile to brittle transition
- Fatigue: Cyclic stress strain behaviour - 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
- Metal casting: Mould design involving feeding, gating and risering, 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
- Metal joining: Principles of soldering, brazing and welding, welding metallurgy, defects in welded joints in steels and aluminum alloys
- Powder metallurgy: production of powders, compaction and sintering
- Non-destructive Testing (NDT): Dye-penetrant, ultrasonic, radiography, eddy current, acoustic emission and magnetic particle inspection methods
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