GATE 2011 : Examination Syllabus
Engineering and Fibre Science ::
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
Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume
integrals; Stokes, Gauss and Green’s theorems.
Diferential 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.
TEXTILE ENGINEERING AND FIBRE SCIENCE
Textile Fibres: Classification of textile fibres; Essential requirements of
fibre forming polymers; Gross and fine structure of natural fibres like
cotton, wool and silk. Introduction to important bast fibres; properties and
uses of natural and man-made fibres; physical and chemical methods of fibre
and blend identification and blend analysis.
Molecular architecture, amorphous and crystalline phases, glass transition,
plasticization, crystallization, melting, factors affecting Tg and Tm;
Process of viscose and acetate preparation. Polymerization of nylon-6,
nylon-66, poly (ethylene terephthalate), polyacrylonitrile and
polypropylene; Melt Spinning processes, characteristic features of PET,
polyamide and polypropylene spinning; wet and dry spinning of viscose and
acrylic fibres; post spinning operations such as drawing, heat setting,
tow-to-top conversion and different texturing methods.
Methods of investigating fibre structure e.g., Density, X-ray diffraction,
birefringence, optical and electron microscopy, I.R. absorption, thermal
methods (DSC, DMA/TMA, TGA); structure and morphology of man-made fibres,
mechanical properties of fibres, moisture sorption in fibres; fibre
structure and property correlation.
Yarn manufacture and yarn structure & properties: Principles of opening,
cleaning and mixing/blending of fibrous materials, working principle of
modern opening and cleaning equipments; the technology of carding, carding
of cotton and synthetic fibres; Drafting operation, roller and apron
drafting principle, causes of mass irregularity introduced by drafting;
roller arrangements in drafting systems; principles of cotton combing,
combing cycle, mechanism and function, combing efficiency, lap preparation;
recent developments in comber; Roving production, mechanism of bobbin
building, roving twist; Principle of ring spinning, forces acting on yarn
and traveler; ring & traveler designs; mechanism of cop formation, causes of
end breakages; working principle of ring doubler and two for one twister,
single and folded yarn twist, properties of double yarns, production of core
spun yarn, compact spinning, principle of non conventional methods of yarn
production such as rotor spinning, air jet spinning, wrap spinning, twist
less spinning and friction spinning.
Yarn contraction, yarn diameter, specific volume & packing coefficient;
twist strength relationship in spun yarns; fibre configuration and
orientation in yarn; cause of fibre migration and its estimation,
irregularity index, properties of ring, rotor and air-jet yarns.
Fabric manufacture and Fabric Structure: Principles of cheese and cone
winding processes and machines; random and precision winding; package faults
and their remedies; yarn clearers and tensioners; different systems of yarn
splicing; features of modern cone winding machines; different types of
warping creels; features of modern beam and sectional warping machines;
different sizing systems, sizing of spun and filament yarns, modern sizing
machines; principles of pirn winding processes and machines; primary and
secondary motions of loom, effect of their settings and timings on fabric
formation, fabric appearance and weaving performance; dobby and jacquard
shedding; mechanics of weft insertion with shuttle; warp and weft stop
motions, warp protection, weft replenishment; functional principles of weft
insertion systems of shuttle-less weaving machines, principles of multiphase
and circular looms.
Principles of weft and warp knitting; basic weft and warp knitted
structures. Classification, production and areas of application of nonwoven
fabrics. Basic woven fabric constructions and their derivatives; crepe,
cord, terry, gauze, leno and double cloth constructions. Peirce’s equations
for fabric geometry; elastica model of plain woven fabrics; thickness, cover
and maximum sett of woven fabrics.
Textile Testing: Sampling techniques, sample size and sampling errors.
Measurement of fibre length, fineness, crimp, strength and reflectance;
measurement of cotton fibre maturity and trash content; HVI and AFIS for
fibre testing. Measurement of yarn count, twist and hairiness; tensile
testing of fibres, yarns and fabrics; evenness testing of slivers, rovings
and yarns; testing equipment for measurement test methods of fabric
properties like thickness, compressibility, air permeability, drape, crease
recovery, tear strength, bursting strength and abrasion resistance. FAST and
Kawabata instruments and systems for objective fabric evaluation.
Statistical data analysis of experimental results. Correlation analysis,
significance tests and analysis of variance; frequency distributions and
Preparatory Processes: Chemistry and practice of preparatory processes for
cotton, wool and silk. Mercerization of cotton. Preparatory processes for
nylon, polyester and acrylic and polyester/cotton blends.
Dyeing: Classification of dyes. Dyeing of cotton, wool, silk, polyester,
nylon and acrylic with appropriate dye classes. Dyeing polyester/cotton and
polyester/wool blends. Batchwise and continuous dyeing machines. Dyeing of
cotton knitted fabrics and machines used. Dye fibre interaction.
Introduction to thermodynamics and kinetics of dyeing. Methods for
determination of wash, light and rubbing fastness. Evaluation of fastness
properties with the help of grey scale.
Printing: Styles of printing. Printing thickeners including synthetic
thickeners. Printing auxiliaries. Printing of cotton with reactive dyes.
Printing of wool, silk, nylon with acid and metal complex dyes. Printing of
polyester with disperse dyes. Methods of dye fixation after printing. Resist
and discharge printing of cotton, silk and polyester. Printing of
polyester/cotton blends with disperse/reactive combination. Transfer
printing of polyester. Developments in inkjet printing.
Finishing: Mechanical finishing of cotton. Stiff. Soft, wrinkle resistant,
water repellent, flame retardant and enzyme (bio-polishing) finishing of
cotton. Milling, decatizing and shrink resistant finishing of wool. Antistat
finishing of synthetic fibre fabrics. Heat setting of polyester.
Energy Conservation: Minimum application techniques.
Pollution: Environment pollution during chemical processing of textiles.
Treatment of textile effluents.