GATE XE Syllabus 2027: Section-Wise Topics, PDF & Exam Pattern

The GATE XE Syllabus 2027 has been released by IIT Madras along with the revised syllabus for GATE 2027. The Engineering Sciences (XE) paper is designed for candidates from interdisciplinary engineering and science backgrounds. 

The paper includes one compulsory section on Engineering Mathematics and multiple optional sections. During the examination, you must answer the compulsory section and select any two optional sections based on your preparation and academic background.

Understanding the latest syllabus helps you identify important topics and prepare with a clear study plan. Since each section covers different subjects, choosing the right optional papers is an important part of your preparation.

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GATE XE Exam Pattern 2027

Before starting your preparation, you should understand how the Engineering Sciences paper is structured.

The Engineering Sciences paper consists of three parts:

• General Aptitude

• Engineering Mathematics (Compulsory)

• Any two optional sections selected by the candidate

GATE XE Syllabus 2027 Structure

The Engineering Sciences paper consists of one compulsory section and several optional sections. Every candidate has to attempt Engineering Mathematics and then choose any two optional subjects.

The available sections allow candidates from different engineering disciplines to select subjects that match their academic background and career goals.

XE0: Engineering Mathematics

XE0.1 Linear Algebra

• Determinant, inverse, and rank of a matrix

• System of linear equations (unique/no/infinite solutions)

• Eigenvalues and eigenvectors of matrices

• Properties of eigenvalues/eigenvectors of symmetric matrices

• Diagonalization of matrices

• Cayley-Hamilton Theorem

XE0.2 Calculus

• Functions of Single Variable:

• Limit, indeterminate forms, L'Hospital's rule

• Continuity and differentiability

• Mean value theorems

• Maxima and minima

• Taylor's theorem

• Fundamental theorem and mean value theorem of integral calculus

• Evaluation of definite and improper integrals

• Applications of definite integrals (areas, volumes of rotation)

• Functions of Two Variables:

• Limit, continuity, partial derivatives

• Directional derivative

• Total derivative

• Maxima, minima, saddle points

• Method of Lagrange multipliers

• Double integrals and applications

• Sequences and Series:

• Convergence of sequences and series

• Tests of convergence (Cauchy Condensation, Ratio, Root, Integral)

• Power series

• Taylor's series

XE0.3 Vector Calculus

• Gradient, divergence, curl

• Line integrals

• Green's theorem

XE0.4 Complex Variables

• Complex numbers, Argand plane, polar representation

• De Moivre's theorem

• Analytic functions

• Cauchy-Riemann equations

XE0.5 Ordinary Differential Equations

• First-order equations (linear and nonlinear)

• Second-order linear ODEs with constant coefficients

• Cauchy-Euler equation

• Second-order linear ODEs with variable coefficients

• Wronskian

• Method of variation of parameters

• Eigenvalue problems for second-order equations

• Power series solutions for ordinary points

XE0.6 Partial Differential Equations

• Classification of second-order linear PDEs

• One-dimensional heat equation

• One-dimensional wave equation

• Two-dimensional Laplace equation

• Method of separation of variables

• Fourier series method

XE0.7 Probability and Statistics

• Axioms of probability

• Conditional probability

• Total probability theorem

• Bayes' Theorem

• Mean, variance, standard deviation of random variables

• Binomial distribution

• Poisson distribution

• Normal distribution

• Correlation and linear regression

XE0.8 Numerical Methods

• LU decomposition

• Gauss elimination method

• Lagrange interpolation

• Newton's interpolation

• Bisection method

• Newton-Raphson method

• Trapezoidal rule

• Simpson's 1/3rd rule

• Simpson's 3/8th rule

• Euler's method (first-order ODEs)

XE1: Fluid Mechanics

XE1.1 Classification of Flows

• Concept of a fluid

• Viscous vs inviscid flows

• Concept of viscosity

• Newtonian vs non-Newtonian fluid

• Incompressible vs compressible flows

• Internal vs external flows

• Steady vs unsteady flows

• Laminar vs turbulent flows

XE1.2 Hydrostatics

• Buoyancy

• Manometry

• Forces on submerged bodies and stability

XE1.3 Kinematics of Fluid Motion

• Eulerian description

• Lagrangian description

• Local, convective, material derivatives

• Streamline

• Streakline

• Pathline

XE1.4 Integral Analysis for a Control Volume

• Reynolds Transport Theorem (RTT) — mass conservation

• Reynolds Transport Theorem (RTT) — linear momentum conservation

XE1.5 Differential Analysis

• Differential equations of mass and momentum (incompressible flows)

• Euler equation

• Bernoulli equation

• Venturi meter application

• Pitot-static tube application

• Orifice meter application

• Navier-Stokes equation

• Exact solutions — Couette flow

• Exact solutions — Poiseuille flow

• Fluid rotation

• Vorticity

• Stream function

• Circulation

XE1.6 Dimensional Analysis

• Concept of similarity

• Buckingham Pi theorem

• Reynolds number

• Froude number

• Mach number

XE1.7 Internal Flows

• Fully developed pipe flow

• Friction factor

• Darcy-Weisbach relation

• Moody's chart

• Major and minor losses

• Flow development

XE1.8 Potential Flows

• Velocity potential function

• Uniform flow

• Source

• Sink

• Vortex

XE1.9 External Flows

• Prandtl boundary layer

• Boundary layer thickness

• Displacement thickness

• Momentum thickness

• Boundary layer separation

• Streamlined and bluff bodies

• Drag and lift forces

XE2: Materials Science

XE2.1 Classification and Structure of Materials

• Classification: metals, ceramics, polymers, composites

• Crystallography:

• Crystal, lattice, motif (Crystal = Lattice + Motif)

• Atoms vs lattice points

• Symmetry operations (translations)

• 7 crystal systems

• Primitive and non-primitive unit cells

• 14 Bravais lattices

• Miller and Miller-Bravais indices

• Close-packed structures:

• CCP, HCP, BCC structures

• Stacking sequence of planes

• Tetrahedral and octahedral voids

• Carbon structures:

• Diamond, Graphite

• Graphene, fullerene

• Carbon nanotubes

• Compound structures:

• NaCl, CsCl, ZnS (Zinc blende, Wurtzite)

• Perovskite, Spinels

• Pauling's rules

• Amorphous materials:

• Crystalline and glassy silica

• Fused silica, soda-lime glass

• Solid solutions:

• Interstitial and substitutional

• Hume-Rothery rules

• Polymer structure:

• Monomers and polymers

• Addition and condensation polymers

• Bonding in polymers, C-C chain

• Degree of polymerization

• Chain configuration vs conformation

• Atactic, isotactic, syndiotactic configurations

• Crystalline, semi-crystalline, amorphous polymers

• Copolymers: alternating, block, random

• Common polymers: PE, PP, PVC, PTFE, PS

• Crosslinking

• Natural and vulcanised rubber

• Defects:

• Point defects: vacancies, interstitials, substitutional atoms, Frenkel/Schottky defects

• Equilibrium concentration of point defects

• Line defects: edge, screw, mixed dislocations

• Burgers vector and Burgers circuit

• Dislocations in SC, BCC, and FCC lattices

• Dislocations meeting at a node

• Line energy of dislocation

• Dislocation motion: glide and climb

• Surface defects: free surfaces, grain boundaries, twin boundaries, stacking faults, phase boundary

• Surface energy (bond-breaking model)

XE2.2 Thermodynamics, Kinetics and Phase Transformations

• Extensive and intensive properties

• Laws of thermodynamics

• Phase equilibria

• Phase rule

• Phase diagrams: unary P-T diagrams

• Phase diagrams: binary T-composition diagrams

• Common tangent construction

• Invariant reactions

• Reaction kinetics, rate constants, order of reactions

• Arrhenius law

• Fick's laws

• Steady/non-steady state diffusion solutions

• Diffusion distance and time

• Atomistic mechanisms of diffusion

• Fast diffusion paths

• Solidification of pure metals and alloys

• Homogeneous and heterogeneous nucleation

• Nucleation rate, growth

• Partitioning during solidification

• Diffusional phase transformations (precipitation, eutectoid)

• TTT and CCT diagrams

• Martensitic/displacive transformation

• Glass transition

XE2.3 Properties and Applications of Materials

• Mechanical:

• Elastic and plastic deformation

• Atomic bonding and elasticity

• Shear strength of perfect crystals

• Plastic deformation (slip, dislocation motion)

• Strengthening mechanisms: strain hardening, solid solution hardening, precipitation hardening, grain size refinement

• Griffith theory of fracture

• Fatigue: cyclic loading, S-N curve, crack initiation/propagation

• Creep: stages and mechanisms

• Composites: particle/fibre reinforced, elastic modulus (rule of mixtures)

• Electronic:

• Drude model

• Fermi energy, Fermi surface, density of states

• Band theory (insulators, conductors, semiconductors)

• Effective mass concept

• Intrinsic/extrinsic semiconductors

• Temperature dependence of conductivity

• Carrier concentration and mobility

• Drift vs diffusion current

• Hall effect

• Dielectric, piezo-, ferro-electric behavior

• Magnetic:

• Origin of magnetism

• Diamagnetism, paramagnetism, ferromagnetism, ferrimagnetism, antiferromagnetism

• Magnetic domains and hysteresis

• Hard and soft magnetic materials

• Thermal:

• Specific heat, Dulong-Petit law

• Wiedemann-Franz law

• Thermal conductivity (metals, insulators)

• Einstein and Debye model

• Heat conduction, thermal diffusivity

• Thermal expansion, thermoelectricity

• Optical:

• Refractive index

• Absorption and transmission of EM radiation

XE2.4 Characterization and Measurements of Properties

• X-ray diffraction: Bragg's law, structure factor, indexing

• Spectroscopy: UV-Vis, IR, Raman

• Band-gap measurement

• Microscopy: optical, SEM, TEM (resolution, depth of field)

• EDS composition analysis

• Tensile test: engineering/true stress-strain, yield stress, UTS, elongation

• Hardness: Brinell, Rockwell, Vickers

• Electrical conductivity, carrier mobility/concentration

• Thermal analysis: thermogravimetry, calorimetry

XE2.5 Processing of Materials

• Heat treatment of steels: TTT/CCT diagrams, pearlite, martensite, bainite

• Annealing, normalizing, quenching, tempering

• Heat treatment of aluminium alloys: solutionising, quenching, ageing

• Hardness vs aging time/temperature

• Silicon processing: metallurgical/semiconductor grade production

• Zone refining

• Single crystal growth

• Silicon oxidation, doping

• Photolithographic process

• Powder preparation

• Sintering

XE2.6 Degradation of Materials

• Standard electrode potential

• Galvanic series

• Nernst equation

• Polarization and passivation

• Forms of corrosion

• Corrosion prevention

• Polymer degradation: swelling, dissolution

• Bond rupture (radiation, chemical, thermal effects)

• Weathering

XE3: Solid Mechanics

XE3.1 Mechanics of Rigid Bodies

• Equivalent forces and moments

• Equilibrium equations

• Analysis of determinate trusses and frames

• Sliding and sticking friction

• Principle of minimum potential energy

• Particle kinematics and dynamics

• Dynamics of interconnected/constrained rigid bodies (planar motion)

• Systems conserving energy/momentum

XE3.2 Mechanics of Deformable Bodies

• Definition of stress and strain

• Transformation of stresses and strains

• Principal stresses

• Mohr's circle (plane stress, plane strain)

• Elastic constants

• Generalized Hooke's Law

• Thermal stresses

• Theories of failure: von Mises, Tresca, max principal stress

• Axial force, shear force, bending moment diagrams

• Axial, shear, bending stresses

• Combined stresses

• Deflection (symmetric bending)

• Systems with up to one degree of static indeterminacy

• Energy methods (Castigliano's theorems)

• Torsion of circular shaft

• Euler buckling

• Thin-walled pressure vessels

XE3.3 Vibrations

• Free vibration (single-DOF systems)

• Forced vibration (single-DOF systems)

• Effect of damping

• Base excitation

XE4: Thermodynamics

XE4.1 Basic Concepts

• Continuum, microscopic, and macroscopic approaches

• Closed and open systems

• Thermodynamic properties, state, equilibrium

• State postulate for simple compressible substances

• Paths and processes on property diagrams

• Concepts of heat and work

• Modes of work

• Zeroth law of thermodynamics

• Concept of temperature

XE4.2 Properties of Pure Substances

• Thermodynamic properties (solid, liquid, vapor phases)

• P-v-T behaviour of simple compressible substances

• Triple point and critical point

• Ideal gas equation of state

• Van der Waals equation of state

XE4.3 First Law of Thermodynamics

• Concept of energy, forms of energy

• Internal energy, enthalpy

• Specific heats

• First law for elementary processes

• First law for closed systems and control volumes

• Steady flow energy equation

XE4.4 Second Law of Thermodynamics

• Limitations of first law

• Heat engines

• Heat pumps/refrigerators

• Thermal efficiency, COP

• Kelvin-Planck statement

• Clausius statement

• Equivalence of statements

• Reversible and irreversible processes

• Carnot cycle and Carnot principles/theorems

• Thermodynamic temperature scale

XE4.5 Entropy

• Clausius inequality

• Concept of entropy

• Causes of irreversibility

• Entropy generation

• Principle of increase of entropy

• T-s diagrams

• Isentropic process and efficiency

• Second law analysis of system/control volume

• Second law efficiency

• Third law of thermodynamics

XE4.6 Thermodynamic Relations

• T-ds relations

• Helmholtz function

• Gibbs function

• Gibbs relations

• Maxwell relations

• Joule-Thomson coefficient and inversion curve

• Coefficient of volume expansion

• Adiabatic and isothermal compressibilities

• Clapeyron equation

• Clapeyron-Clausius equation

XE4.7 Thermodynamic Cycles

• Carnot vapor cycle

• Ideal Rankine cycle

• Simple vapor-compression refrigeration cycle

• Air-standard Otto cycle

• Air-standard Diesel cycle

• Air-standard Brayton cycle

XE4.8 Mixtures of Ideal Gases

• Dalton's law

• Amagat's law

• Properties of ideal gas mixtures

• Air-water vapor mixtures

• Specific and relative humidities

• Dew point

• Dry bulb and wet bulb temperatures

• Adiabatic saturation temperature

• Simple psychrometric processes

XE5: Polymer Science and Engineering

XE5.1 Polymer Chemistry

• Monomers, degree of polymerisation

• Classification of polymers

• Addition polymerisation (kinetics)

• Condensation polymerisation (kinetics)

• Metallocene polymers, newer polymerisation methods

• Copolymerization

• Monomer reactivity ratios and significance

• Kinetics

• Random, alternating, azeotropic copolymerization

• Block and graft copolymers

• Polymerisation techniques: bulk, solution, suspension, emulsion

XE5.2 Polymer Characterisation

• Solubility and swelling

• Molecular weight distribution

• Average molecular weight concept

• Number average, weight average, viscosity average, Z-average MW determination

• Glass transition

• Melting transition

• Amorphous and crystalline states

• Orientation and crystallinity

• Factors affecting crystallinity

• IR, XRD analysis

• Thermal analysis: DSC, DMTA, TGA

• Microscopic techniques (optical, electronic)

• GPC

• Mooney viscosity

• Morphology/microstructure: SEM, TEM, AFM

XE5.3 Synthesis, Manufacturing and Properties

• Commodity thermoplastics: PE, PP, PS, PVC

• Polyesters

• Acrylic

• PU polymers

• Engineering plastics: Nylon, PC, PBT, PPO, ABS, fluoropolymers

• Thermosetting polymers: PU, PF, MF, UF, epoxy, unsaturated polyester, alkyds

• Natural and synthetic rubbers: NR, SBR, Nitrile, CR, CSM, EPDM, IIR, BR, Silicone, TPE

• Specialty plastics: PEK, PEEK, PPS, Polysulfone, Polyethersulfone

• Bio-compostable polymers: PCL, PLA, PBAT, PHA/PHB

• Natural/biodegradable polymers: cellulose, starch, alginate

XE5.4 Polymer Blends and Composites

• Significance of blends and composites

• Choice of polymers for blending

• Blend miscibility (miscible/immiscible)

• Thermodynamics of blending

• Phase morphology

• Polymer alloys

• Polymer eutectics

• Plastic-plastic, rubber-plastic, rubber-rubber blends

• FRP, particulate, long/short fibre composites

• Polymer reinforcement (natural, synthetic fibres)

XE5.5 Additives, Compounding and Formulations

• Need and significance of compounding

• Crosslinkers

• Antioxidants

• Heat stabilizers

• UV stabilizers

• Lubricants

• Processing aids

• Impact modifiers

• Flame retardants

• Antistatic agents

• PVC stabilizers and plasticizers

• Carbon black

• Polymer mixing equipment

• Vulcanization and kinetics

XE5.6 Polymer Rheology

• Newtonian and non-Newtonian flow

• Flow equations

• Shear modulus-temperature dependence

• Molecular/segmental deformations and transitions

• Rheological measurement: capillary, parallel plate, cone-plate rheometer

• Viscoelasticity

• Creep and stress relaxation

• Oscillatory/dynamic testing

• Mechanical models

• Rheological control through compounding

• Rubber curing: parallel plate viscometer, ODR, MDR

XE5.7 Polymer Processing

• Spin coating

• Electrospinning

• Solution and melt spinning

• Film casting

• Compression molding

• Transfer molding

• Injection molding

• Blow molding

• Reaction injection molding

• Filament winding

• SMC, BMC, DMC

• Extrusion

• Pultrusion

• Calendaring

• Rotational molding

• Thermoforming

• Powder coating

• Rubber processing: two-roll mill, internal mixer, twin screw extruder

XE5.8 Polymer Testing

• Mechanical: static/dynamic, tensile, flexural, compressive, abrasion, endurance, fatigue, hardness, tear, resilience, impact, toughness

• Conductivity: thermal, electrical

• Dielectric constant, dissipation factor, power factor

• Electric/surface/volume resistivity

• Swelling, ageing resistance

• Environmental stress cracking resistance

• Limiting oxygen index

• Heat deflection temperature, Vicat softening temperature

• Ductile to brittle transition

• Glass transition temperature

• Coefficient of thermal expansion

• Shrinkage, flammability

• Optical properties: refractive index, luminous transmittance, haze

• Melt flow index

XE5.9 Polymer Recycling, Waste Management and Sustainability

• Polymer waste and environmental impact

• Sources, identification, and separation techniques

• Mechanical recycling

• Chemical recycling

• Recycling of thermoplastics, thermosets, and rubbers

• Applications of recycled materials

• Life cycle assessment (e.g., PET bottles, packaging)

• Recycling/segregation/disposal of biodegradable polymers

• Microplastics

XE6: Food Technology

XE6.1 Food Chemistry and Nutrition

• Food component characterization/quantification techniques

• Carbohydrates: mono-, oligo-, polysaccharides, starch, cellulose, pectic substances, dietary fibre

• Gelatinisation and retrogradation of starch

• Proteins: classification, structure, denaturation, functional properties

• Lipids: classification, structure, rancidity, polymerisation, polymorphism

• Pigments: carotenoids, chlorophylls, anthocyanins, tannins, myoglobin, curcumin, betalains

• Food flavours: terpenes, esters, aldehydes, ketones, quinones

• Enzymes: specificity, kinetics, coenzymes, enzymatic/non-enzymatic browning

• Nutrition: balanced diet, essential amino/fatty acids, protein efficiency ratio

• Water/fat soluble vitamins, minerals, co-factors, anti-nutrients

• Nutraceuticals, nutrient deficiency diseases, food supplements, nutrigenomics

• Food adulteration (types, detection)

• Chemical/biochemical changes during processing

XE6.2 Food Microbiology

• Morphology: bacteria, yeast, mold, actinomycetes

• Spores and vegetative cells

• Gram-staining, resistant bacteria

• Microbial growth: D-value, Z-value, F-value, growth/death kinetics

• Serial dilution technique

• Spoilage microorganisms: milk, fish, meat, egg, cereals

• Toxins: Staphylococcus, Salmonella, Shigella, Escherichia, Bacillus, Clostridium, Aspergillus

• Foodborne diseases

• Fermented foods: curd, yoghurt, cheese, pickles, soya sauce, sauerkraut, idli, dosa, vinegar, alcoholic beverages, sausage

• Probiotic foods, prebiotics, synbiotics

XE6.3 Food Products Technology

• Quality analysis of raw/processed foods

• Thermal processing: blanching, pasteurisation, sterilisation

• Chilling, freezing, dehydration

• Preservatives and food additives

• Microwave, radio wave, IR processing

• Irradiation, fermentation, hurdle technology

• Intermediate moisture foods

• Non-thermal technologies: ultrasonication, HPP, PEF, cold plasma

• Food packaging materials and properties

• Aseptic, active, and intelligent packaging

• Controlled/modified atmosphere storage

• Microplastics in food

• Cereal processing: milling of rice, wheat, maize

• Pulse processing, parboiling of paddy

• Bread, biscuits, extruded products, RTE cereals

• Meat analogues, plant-based milk alternatives

• Oil processing: expelling, solvent extraction, refining, hydrogenation

• Fruits/vegetables processing: juice, jam, jelly, marmalade, squash, candies, sauce, ketchup, puree, chips, pickles

• Plantation crops: tea, coffee, cocoa, spices, essential oils, oleoresins

• Milk products: pasteurization, sterilization, cream, butter, ghee, ice-cream, cheese, milk powder

• Animal products: frozen, canned, dried, RTE fish/meat products

• Curing, smoking, poultry processing, slaughtering

• Waste utilization: pectin from fruit waste, rice milling by-products, edible films

• Food standards: FPO, PFA, A-Mark, HACCP, plant sanitation, CIP

• FSSAI, BIS, Codex Alimentarius, ISO, FSMS

XE6.4 Food Engineering

• Mass and energy balance

• Momentum transfer: flow rate/pressure drop (Newtonian fluids), Reynolds number

• Heat transfer: conduction, convection, radiation, heat exchangers

• Mass transfer: molecular diffusion, Fick's law, permeability

• Mechanical operations: size reduction, high-pressure homogenization, filtration, centrifugation, settling, sieving, mixing/agitation

• Thermal operations: blanching, pasteurisation, sterilisation, evaporation, hot air drying, spray/freeze-drying, freezing, crystallisation

• Mass transfer operations: psychrometrics, humidification, dehumidification

XE7: Atmospheric and Oceanic Sciences

XE7.1 Atmospheric Science

• Vertical structure and composition of the atmosphere

• Blackbody radiation and radiation balance

• Modes of heat transfer in the atmosphere

• Greenhouse effect

• Cloud types

• Laws of thermodynamics

• Gas laws

• Hydrostatic equation

• Clausius-Clapeyron equation

• Adiabatic processes

• Humidity in the atmosphere

• Atmospheric stability

• Global radiation budget

• Role of greenhouse gases

• Navier-Stokes and continuity equations

• Compressible/incompressible fluids

• Pressure gradient, centripetal, centrifugal, Coriolis forces

• Geostrophic, gradient, and cyclostrophic balances

• Circulations and vorticity

• General circulation of the atmosphere

• Indian monsoons

• Fundamentals of tropical cyclones

XE7.2 Ocean Sciences

• Vertical profiles of temperature and salinity

• Stability and double diffusion

• Equation of state

• Conservation equations: mass, momentum, heat, salt

• Inertial currents

• Geostrophic motion

• Air-sea surface fluxes

• Wind-driven circulation

• Ekman and Sverdrup transport

• Storm surges, tides, tsunamis, wind waves

• Eddies and gyres

• Thermohaline circulation

• Chemical properties of seawater

• Major and minor elements

• Ocean acidification

• Biogeochemical cycling of nutrients

• Biological pump

• Primary and secondary biological productivity

• Marine ecology

XE8: Energy Science

XE8.1 Energy Resources and Conversion Technologies

• Fossil resources: R/P ratio, reserve estimation

• Unconventional fossil resources: coal bed methane, shale gas, gas hydrates, frozen methane

• Peak oil theory

• Nuclear energy: mass-energy relation, reaction conservation laws, binding energy, Q-values

• Radioactive decay, fission, fusion

• Solar thermal: radiation distribution/measurement, solar geometry, optical/thermal efficiency

• Flat plate collectors, evacuated tube collectors, solar air heaters, concentrating collectors

• Solar PV: I-V characteristics, efficiency, fill factor

• Series/parallel connections, PV system sizing (load factor, autonomy, battery/inverter/array size)

• Maximum power point tracking

• Biomass: resources, composition, characterisation

• Conversion methods: pyrolysis, gasification, steam reforming

• Biofuels

• Wind: resource analysis, turbine types/characteristics

• Betz limit, turbine design, blade profile, wind generators

• Hydropower: resources, plants, turbines (Pelton, Kaplan, Francis), small hydro

XE8.2 Energy Storage, Economics, Environment, and Efficiency

• Batteries: capacity, C-rate, SOC, SOH, DOD, energy/power densities

• Thermal energy storage

• Pumped hydro storage

• Compressed air storage

• Charging, discharging, roundtrip efficiency

• Economic analysis: simple payback period, time value of money, discount rate

• Present worth factor, capital recovery factor

• Life cycle costing, IRR, NPV, annual worth

• Cost of saved energy, levelized cost of energy (LCOE)

• Environmental impacts: air pollution (SOx, NOx, CO, particulates)

• GHG emissions, emission factors/inventories

• Energy auditing methodology

• Demand side management, power factor correction

• Motor efficiency testing, energy efficient motors

• Lighting: levels, efficient options, fixtures, daylighting, timers

• Thermal/mechanical systems: insulation, compressors, pumps, boilers, heating/cooling

XE9: Textile Engineering and Fibre Science

XE9.1 Textile Fibres

• Classification of textile fibres

• Requirements of fibre-forming polymers

• Gross/fine structure: cotton, wool, silk

• Bast fibres

• Man-made fibres: carbon, aramid, UHMWPE

• Fibre/blend identification methods

• Molecular architecture, amorphous/crystalline phases

• Glass transition, plasticization, crystallisation, melting

• Factors affecting Tg and Tm

• Polymerization: nylon-6, nylon-66, PET, PAN, PP

• Melt spinning: PET, polyamide, PP

• Preparation of spinning dope

• Wet, dry, dry-jet-wet, gel spinning

• Spinning of acrylic, viscose, regenerated cellulosics (polynosic, lyocell)

• Post-spinning operations: drawing, heat setting, tow-to-top conversion

• Spin finish composition/applications

• Texturing methods

• Fibre structure investigation: density, XRD, birefringence, optical/electron microscopy, IR, DSC/DMA/TMA/TGA

• Structure and morphology of man-made fibres

• Mechanical properties of fibres

• Moisture sorption

• Fibre structure-property correlation

XE9.2 Yarn Manufacture, Yarn Structure and Properties

• Principles of ginning

• Opening, cleaning, blending

• Modern blowroom machines

• Fundamentals of carding

• Conventional vs modern carding

• Card setting, card clothing

• Periodic mass variation in card sliver

• Card autoleveller

• Roller drawing principles

• Roller arrangements in drafting

• Periodic mass variation in drawn sliver

• Drawframe autoleveller

• Cotton combing principles and cycle

• Recent developments in combing

• Drafting, twisting, bobbin building (roving)

• Modern roving developments

• Drafting, twisting, cop building (ring spinning)

• Causes of end breakages

• Modern ring spinning developments

• Ring doubler, two-for-one twister

• Single yarn twist vs folded yarn twist relationship

• Compact, rotor, air-jet, air-vortex, friction, core, wrap, twist-less spinning

• Fibre geometry, configuration, orientation in yarn

• Fibre packing density

• Yarn diameter

• Yarn twist and strength relation

• Helical fibre arrangement

• Yarn contraction

• Fibre migration

• Stress-strain relation in yarn

• Mass irregularity of yarn

• Structure-property relationships (ring, compact, rotor, air-jet, friction spun yarns)

XE9.3 Fabric Manufacture, Structure and Properties

• Winding process principles/classification

• Patterning mechanism

• Yarn clearers/tensioners

• Yarn splicing systems

• Warping objectives/classification

• Warping creels

• Beam and sectional warping machines

• Sizing systems (spun, filament yarns)

• Drawing-in process

• Pirn winding

• Loom motions (primary/secondary)

• Shedding motion (positive/negative), shed types

• Tappet, dobby, jacquard shedding

• Weft insertion mechanics (shuttle)

• Shuttle picking and checking

• Beat-up, sley kinematics

• Loom timing diagram, cam designing

• Sley setting/cam profile effects

• Take-up and let-off motions

• Warp/weft stop motions

• Warp protection, weft replenishment

• Shuttle-less weaving: projectile, rapier, water-jet, air-jet

• Multiphase and circular looms

• Selvedge types

• Woven constructions: crepe, cord, terry, gauze, leno, double cloth

• Drawing and lifting plans

• Weft knitting fundamentals/classification

• Weft knit constructions: plain, rib, interlock, purl

• Knit stitches: loop, tuck, float

• Warp knitting principles/classification

• Guide bar swinging/shogging motion

• Warp knit constructions: pillar, tricot, atlas, inlay nets

• Nonwovens: fibre preparation, web formation/bonding

• Spun-bonding, melt-blowing

• Nonwoven applications

• Braiding principles, braid types, maypole braiding

• Peirce's equations (plain woven fabric geometry)

• Fabric thickness, cover, maximum set

• Plain weft knitted loop geometry

• Munden's constants, tightness factor

• Tubular braid geometry

XE9.4 Textile Testing

• Sampling techniques (fibres, yarns, fabrics)

• Sample size and sampling errors

• Moisture in textiles

• Fibre length, fineness, crimp, maturity, trash content

• Tensile testing of fibres

• High-volume fibre testing

• Linear density of sliver, roving, yarn

• Twist and hairiness of yarn

• Tensile testing of yarns

• Evenness testing

• Fault measurement/analysis of yarns

• Fabric thickness, compressibility, stiffness, shear, drape

• Crease recovery, tear strength, bursting strength

• Pilling and abrasion resistance

• Tensile testing of fabrics

• Objective evaluation of low-stress mechanical characteristics

• Air permeability

• Wetting and wicking

• Water-vapour transmission

• Thermal resistance of fabrics

XE9.5 Chemical Processing

• Impurities in natural fibre

• Singeing

• Preparatory processes: cotton

• Preparatory processing: wool, silk

• Mercerization of cotton

• Preparatory processes for man-made fibres/blends

• Optical brightening agents

• Dye classification

• Dyeing: cotton, wool, silk, polyester, nylon, acrylic

• Dyeing of polyester/cotton, polyester/wool blends

• Dyeing machines

• Dyeing processes/machines for cotton knits

• Dye-fibre interaction

• Thermodynamics/kinetics of dyeing

• Colour-chemical constitution relation

• Beer-Lambert's law

• Kubelka-Munk theory (colour measurement)

• Wash, light, rubbing fastness testing

• Printing methods: roller, screen printing

• Printing paste preparation, thickeners, auxiliaries

• Direct printing: cotton (reactive dyes), wool/silk/nylon (acid/metal complex dyes), polyester (disperse dyes)

• Resist and discharge printing

• Pigment printing

• Transfer printing (polyester)

• Inkjet printing

• Printing faults

• Mechanical finishing of cotton

• Stiff, soft, wrinkle-resistant, water-repellent, flame-retardant, enzyme (bio-polishing) finishing

• Milling, decatizing, and shrink-resistant finishing of wool

• Antistatic and soil release finishing

• Heat setting of synthetic fabrics

• Minimum application techniques

• Pollution control and effluent treatment

GATE XE Syllabus 2027 PDF

You can download the official GATE XE Syllabus 2027 PDF released by IIT Madras to check the latest topics for Engineering Mathematics and all optional sections. The PDF helps you plan your preparation and revise the prescribed syllabus effectively.

Download XE Syllabus 2027 PDF

The GATE XE Syllabus helps you understand the subjects and topics that will be covered in the Engineering Sciences paper. It includes one compulsory Engineering Mathematics section and several optional disciplines. Preparing according to the latest syllabus, practising questions regularly, and revising important concepts can improve your preparation. 

Related Resources:

• GATE 2027 Subjects

• GATE 2027 Syllabus

• GATE 2027 Exam Pattern

• GATE 2027 Eligibility Criteria

• GATE 2027 Important Dates

• GATE 2027 Official Website

• GATE 2027 Exam Date

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