GATE Syllabus







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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