GATE Metallurgical Engineering (MT) Syllabus 2024: PDF Download, List of Chapters and Topics

GATE Metallurgical Engineering (MT) Syllabus 2024 PDF

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Linear Algebra

• Matrices and Determinants
• Systems of linear equations
• Eigen values and Eigen vectors

Calculus

• Limit, Continuity and Differentiability
• Partial derivatives
• Maxima and minima
• Sequences and series
• Test for convergence
• Fourier series

Vector Calculus

• Gradient
• Divergence and Curl
• Line, Surface and volume integrals
• Stokes, Gauss and Green’s theorems

Differential Equations

• 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

Numerical Methods

• Solutions of linear and non-linear (Bisection, Secant, Newton- Raphson methods) algebraic equations
• Integration by trapezoidal and Simpson’s rule
• Single and multistep methods for differential equations

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

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

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 – aluminium, 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

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
• Spinodal 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

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

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 aluminium 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

Manufacturing Processes and Equipment

J T Black

Engineering Physical Metallurgy Edition 1

Y. Lakhtin

Higher Engineering Mathematics

B.S. Grewal

A Handbook of Engineering Mathematics

ME Editorial Board

Metallurgical Thermodynamics Kinetics and Numericals

A. B. Lele

GATE Engineering Mathematics for all streams

Arihant Publications

Extraction of Non-Fressous Metal 01 Edition

Ray

Thermodynamics Databook

J Van Wylen

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