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GATE Metallurgy Online Coaching
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GATE Metallurgy Video Lectures
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GATE 2023 Metallurgical Engineering Videos Schedule
Topics | Live Date | |
Engineering Mathematics | April 2022 | |
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 | May 2022 | |
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. | ||
Physical Metallurgy | June 2022 | |
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- homogenenization 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. | ||
Heat Treatment | ||
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 properties of materials | ||
magnetic properties of materials | ||
Optical properties of materials | ||
Kinetics | ||
Solid State Transformation | ||
Precipitation, spinoidal decomposition, ordering, massive transformation, | ||
discontinuous precipitation | ||
eutectoid transformation | ||
diffusionless transformations | ||
Precipitate coarsening | ||
Gibbs-Thomson effect | ||
Basic forms of corrosion and its prevention | ||
Mechanical Metallurgy | July 2022 | |
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 | ||
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. | ||
Mineral Processing and Extractive Metallurgy | Aug 2022 | |
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 on 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. | ||
Manufacturing Processes | Sept 2022 | |
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. | ||
Transport Phenomena and Rate Processes | Oct 2022 | |
Momentum transfer: | ||
Concept of viscocity | ||
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 | ||
Kirchoff’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. |
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