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Syllabus for Chemical Engineering (CH)
Engineering Mathematics
Linear Algebra:
Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus:
Functions of single variable, Limit, continuity and differentiability, Mean
value theorems, Evaluation of definite
and improper integrals, Partial derivatives, Total derivative, Maxima and
minima, Gradient, Divergence and Curl, Vector dentities, Directional
derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's
theorems.
Differential equations:
First order equations (linear and nonlinear), Higher order linear differential
equations with constant coefficients, Cauchy's and Euler's equations, Initial
and boundary value problems, Laplace transforms, Solutions of one dimensional
heat and wave equations and Laplace equation.
Complex variables:
Analytic functions, Cauchy's integral theorem, Taylor and Laurent series, Residue
theorem.
Probability and Statistics:
Definitions of probability and sampling theorems, Conditional probability, Mean,
median, mode and standard deviation, Random variables, Poisson, Normal and
Binomial distributions.
Numerical Methods:
Numerical solutions of linear and non-linear algebraic equations Integration by
trapezoidal and Simpson's rule, single and multi-step methods for differential
equations.
Chemical Engineering
Process Calculations and Thermodynamics:
Laws of conservation of mass and energy; use of tie components; recycle, bypass
and purge calculations; degree of freedom analysis. First and Second laws of
thermodynamics. First law application to close and open systems. Second law and
Entropy Thermodynamic properties of pure substances: equation of state and
departure function, properties of mixtures: partial molar properties, fugacity,
excess properties and activity coefficients; phase equilibria: predicting VLE of
systems; chemical reaction equilibria.
Fluid Mechanics and Mechanical Operations:
Fluid statics, Newtonian and non-Newtonian fluids, Bernoulli equation,
Macroscopic friction factors, energy balance, dimensional analysis, shell
balances, flow through pipeline systems, flow meters, pumps and compressors,
packed and fluidized beds, elementary boundary layer theory, size reduction and
size separation; free and hindered settling; centrifuge and cyclones; thickening
and classification, filtration, mixing and agitation; conveying of solids.
Heat Transfer:
Conduction, convection and radiation, heat transfer coefficients, steady and
unsteady heat conduction, boiling, condensation and evaporation; types of heat
exchangers and evaporators and their design.
Mass Transfer:
Fick's laws, molecular diffusion in fluids, mass transfer coefficients, film,
penetration and surface renewal theories; momentum, heat and mass transfer
analogies; stagewise and continuous contacting and stage efficiencies; HTU & NTU
concepts design and operation of equipment for distillation, absorption,
leaching, liquid-liquid extraction, drying, humidification, dehumidification and
adsorption.
Chemical Reaction Engineering:
Theories of reaction rates; kinetics of homogeneous reactions, interpretation of
kinetic data, single and multiple reactions in ideal reactors, non-ideal
reactors; residence time distribution, single parameter model; non-isothermal
reactors; kinetics of heterogeneous catalytic reactions; diffusion effects in
catalysis.
Instrumentation and Process Control:
Measurement of process variables; sensors, transducers and their dynamics,
transfer functions and dynamic responses of simple systems, process reaction
curve, controller modes (P, PI, and PID); control valves; analysis of closed
loop systems including stability, frequency response and controller tuning,
cascade, feed forward control.
Plant Design and Economics:
Process design and sizing of chemical engineering equipment such as compressors,
heat exchangers, multistage contactors; principles of process economics and cost
estimation including total annualized cost, cost indexes, rate of return,
payback period, discounted cash flow, optimization in design.
Chemical Technology:
Inorganic chemical industries; sulfuric acid, NaOH, fertilizers (Ammonia, Urea,
SSP and TSP); natural products industries (Pulp and Paper, Sugar, Oil, and
Fats); petroleum refining and petrochemicals; polymerization industries;
polyethylene, polypropylene, PVC and polyester synthetic fibers.
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