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.
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 control charts.
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.
Source: http://gate.iitd.ac.in/
Edited by : http://ipuedu.blogspot.com
Source: http://gate.iitd.ac.in/
Edited by : http://ipuedu.blogspot.com
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