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# GATE Metallurgical Engineering (MT) Syllabus 2023

Organisation : Graduate Aptitude Test In Engineering GATE
Exam Name : Metallurgical Engineering (MT) Exam
Announcement : GATE Metallurgical Engineering (MT) Syllabus 2023
Website : https://gate.iitk.ac.in

Contents

## GATE Metallurgical Engineering (MT) Syllabus

In each of the following subjects the topics have been divided into two categories – Core Topics and Special Topics. The corresponding sections of the question paper will contain 90% of their questions on Core Topics and the remaining 10% on Special Topics.

Related / Similar Syllabus : GATE Metallurgical Engineering (MT) Syllabus 2023 ## Metallurgical Engineering (MT) Syllabus

Section 1: Engineering Mathematics
** 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 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.
** 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 – 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. 