# GATE Metallurgical Engineering Syllabus – MT Topics, Latest Syllabus 2022

GATE Metallurgical Engineering Syllabus: Check out the latest GATE Syllabus for Metallurgical Engineering (MT). The metallurgical subject is one of the papers in the GATE 2022 Exam. Earlier we’ve provided the GATE Exam pattern 2022, Now we are providing the GATE Syllabus 2022 of Metallurgical Paper. MT is the subject code of the GATE Metallurgical Engineering Exam. Below we’ve provided GATE Metallurgical Engineering Syllabus and weight-age for GATE 2021 Exam. Here you can see Metallurgical Engineering applicable chapters and topics for GATE exam 2022. Download GATE Metallurgical Engineering Syllabus 2022 PDF is also here.

## GATE Paper Pattern & Marks Weightage

GATE paper questions are divided into three sections.  As given below GATE marks are distributed for each section. 70% of the marks cover the core subject of the GATE Exam. i.e here Core Subject in Metallurgical Engineering.

GATE 2018 – 2022
Paper Pattern for Metallurgical Engineering (MT)

 GATE Paper Sections GATE Marks Distribution Subject Questions (Core Subject) 70% of the total marks. Engineering Mathematics 15% of the total marks. General Aptitude (GA) 15% of the total marks.

## GATE Metallurgical Engineering Syllabus

The GATE exam will also have a General Aptitude section. The General Aptitude section is common for all papers. You can download the GATE 2022 Syllabus for General Aptitude (GA) in PDF or you can check

GATE General Aptitude (GA) Syllabus (Full Details)

GATE 2022  Syllabus pdf

### ENGINEERING MATHEMATICS

Linear Algebra: Matrices and Determinants, Systems of linear equations, Eigenvalues and Eigenvectors.

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, heat and wave equations.

Probability and Statistics: Mean, median, mode, and standard deviation; Random variables; Poisson, normal and binomial distributions; Correlation and regression analysis.

Numerical Methods: Solutions of linear and non-linear algebraic equations; integration of trapezoidal and Simpson’s rule; single and multi-step methods for differential equations.

### METALLURGICAL ENGINEERING – Section 2

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.

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, the 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 – sulfide and phosphate capacity of slags; Production of metallurgical coke.
Other methods of iron making (COREX, MIDRE)
Primary steelmaking: Basic oxygen furnace, process dynamics, oxidation reactions, electric arc furnace.
Secondary steelmaking: 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 mold, heat transfer in the mold, segregation,
inclusion control.

Physical Metallurgy: Crystal structure and bonding characteristics of metals, alloys, ceramics and polymers, structure of surfaces and interfaces, nanocrystalline and amorphous structures; solid solutions; solidification; phase transformation and binary phase diagrams; principles of heat treatment of steels, cast iron, and aluminum alloys; surface treatments; recovery, recrystallization and grain growth; industrially important ferrous and non-ferrous alloys; elements of X-ray and electron diffraction; principles of scanning and transmission electron microscopy; industrial ceramics, polymers and composites; the electronic basis of thermal, optical, electrical and magnetic properties of materials; electronic and optoelectronic materials.

Mechanical Metallurgy: Elasticity, yield criteria and plasticity; defects in crystals; elements of dislocation theory – types of dislocations, slip and twinning, source and multiplication of dislocations, stress fields around dislocations, partial dislocations, dislocation interactions and reactions; strengthening mechanisms; tensile, fatigue and creep behaviour; super-plasticity; fracture – Griffith theory, basic concepts of linear elastic and elasto-plastic fracture mechanics, ductile to brittle transition, fracture toughness; failure analysis; mechanical testing – tension, compression, torsion, hardness, impact, creep, fatigue, fracture toughness and formability.

Manufacturing Processes: Metal casting – patterns and moulds including mold design involving feeding, gating, and rising, melting, casting practices in sand casting, permanent mould casting, investment casting, and shell molding, casting defects and repair; 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 – soldering, brazing and welding, common welding processes of shielded metal arc welding, gas metal arc welding, gas tungsten arc welding, and submerged arc welding; welding metallurgy, problems associated with the welding of steels and aluminum alloys, defects in welded joints; powder metallurgy; NDT using dye-penetrant, ultrasonic, radiography, eddy current, acoustic emission and magnetic particle methods.

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