# University of Calicut Phd Syllabus

Exams Date »**University of Calicut PhD Syllabus :: Calicut University Phd 2019 Exam Details**

**Calicut University PhD Syllabus 2019**

**Civil Engineering **

**Linear Algebra :** Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.

**Probability and Statistics :** Definitions of probability, 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.

**Soil Mechanics :** Origin of soils, soil classification, three – phase system, fundamental definitions, relationship and interrelationships, permeability & seepage, effective stress principle, consolidation, compaction, shear strength.

**Fluid Mechanics and Hydraulics :** Properties of fluids, principle of conservation of mass, momentum, energy and corresponding equations, potential flow, applications of momentum and Bernoulli’s equation, laminar and turbulent flow, flow in pipes, pipe networks. Concept of boundary layer and its growth. Uniform flow, critical flow and gradually varied flow in channels, specific energy concept, hydraulic jump. Forces on immersed bodies, flow measurements in channels, tanks and pipes. Dimensional analysis and hydraulic modeling. Kinematics of flow, velocity triangles and specific speed of pumps and turbines.

**Hydrology :** Hydrologic cycle, rainfall, evaporation, infiltration, stage discharge relationships, unit hydrographs, flood estimation, reservoir capacity, reservoir and channel routing. Well hydraulics – steady and unsteady.

**Irrigation :** Duty, delta, estimation of evapo – transpiration. Crop water requirements. Design of : lined and unlined canals, waterways, head works, gravity dams and spillways. Design of weirs on permeable foundation. Types of irrigation system, irrigation methods. Water logging and drainage, sodic soils.

**Environmental Hydraulics :** Quality standards, basic unit processes and operations for water treatment. Drinking water standards, water requirements, basic unit operations and unit processes for surface water treatment, distribution of water, piping systems, network analysis. Sewage and sewerage treatment, quantity and characteristics of wastewater. Waste water movement in streams: dispersion and diffusion.

**Surveying :** Importance of surveying, principles and classifications, mapping concepts, coordinate system, map projections, measurements of distance and directions, leveling, theodolite traversing, total station.

** Mechanical Engineering **

**Mathematics and Research Aptitude**

**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 identities, Directional derivatives, Differential Equations and Solutions.

**Probability and Statistics :** Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson,Normal and Binomial distributions.

**Research Concepts :** Types of research, Literature Review – Importance & Methods – Sources, Mathematical modelling and simulation, Research proposal preparation and Report Preparation.

**Machine Design**

**Strength of Material :** Mechanical Properties and Testing, Deflection of Beams, Torsion of Shafts, Columns & Struts, Strain Energy, Composite Materials, Advanced Mechanics of Solids.

**Theory of Machines :** Mechanisms and Machines, Gear and Gear Trains, Cams, Engine Dynamics, Governors, Balancing, Gyroscope.

**Design of Machine Elements :** Design for Production, Belt, Rope and Chain Drives, Design of Shafts, Bearings, Springs, Tribology.

**Mechanical Vibrations :** Fundamentals of Vibration, Vibration of Single Degree of Freedom Systems, Vibration of Multi Degree of Freedom Systems, Vibration of Continuous Systems, Static and Dynamic Testing of Machine Tools.

**Thermal Engineering**

**Thermodynamics :** Laws, Availability & Irreversibility, Pure Substances, Air Standard Cycles.

**Fluid Mechanics :** Statics and Dynamics, Computational methods.

**Internal Combustion Engines :** Combustion in S.I. & C.I. Engines, Lubrication & Cooling Systems, Engine Testing and Performance, Supercharging, Gas Turbines and Jet Propulsion, Power Plant Engineering, Automobile Engineering.

**Heat and Mass Transfer :** Basic Laws, Conduction, Extended Surface Conduction, Convection, Thermal Radiation, Heat Exchangers, Mass Transfer.

**Refrigeration and Air – Conditioning :** Air Refrigeration System, Vapour Compression Refrigeration System, Vapour Absorption Systems and Refrigerants, Psychrometry, Air Conditioning.

**Production Engineering**

**Engineering Materials :** Structure and properties of engineering materials and their applications; effect of strain, strain rate and temperature on mechanical properties of metals and alloys; heat treatment of metals and alloys, its influence on mechanical properties.

**Manufacturing Technology :** Workshop Practices, Fundamental Machine Tool Operations, Ferrous Materials, Non-Ferrous Metals and Alloys, Ceramics, Plastics and Other Materials, Casting, Welding, Bulk Metal Forming Processes, Forging, Extrusion, Rolling, Non – Conventional Manufacturing Processes.

**Machine Tool Engineering :** Fundamental of Metal Cutting, Machine Tool Design, Machine Tool Structures, Gear Box Design, Machine Tool Testing, Vibration in Machine Tools, NC, CNC and DNC Machine Tools, Automation in Manufacturing, FMS, CIMS, CAD / CAM, Robotics & AGVs.

**Industrial Management :** Production and Productivity, Work Study and Ergonomics, Product Design and Development, Facilities Location, Plant Layout and Material Handling, Production Planning and Control, Inventory Control, Computer Aided Process Planning, Group Technology, Concurrent Engineering, Reverse Engineering, Statistical Quality Control, Total Quality Management, Operation Research methods, MIS.

**Electrical & Electronics Engineering **

**Electric Circuits :** Current and Voltage sources ,Network theory- Kirchoff’s laws, graphs, cutsets, loops, Network Theorems- Superposition, Reciprocity, Thevenins and Norton. current and voltage sources ,Transient response of dc and ac networks; sinusoidal steady-state analysis, Filter concepts, two-port networks, three phase circuits;.

**Electromagnetism :** Inductor and Inductance- Solenoids, Toroids, Inductance of transmission lines, Mutual Inductance, Energy stored in magnetic field, Maxwell’s equation, Plane waves, Poynting vector and Poynting’s theorem, Travelling waves in transmission circuits, Plane electromagnetic waves- solution for free space condition, uniform plane wave, wave equation for conducting medium.

**Signals and Systems :** Representation of continuous and discrete-time signals; Basic operations on signals, Characteristics of systems; LTI systems; Sampling theorem; Fourier, Laplace and Z transforms. Different types of digital filters, Design of filters; Structures for FIR and IIR systems.

**Electrical Machines :** Single phase transformer – equivalent circuit, phasor diagram, regulation and efficiency; three phase transformers; auto-transformer; DC machines- generator characteristics, Starting and speed control of motors; Three phase induction motors –performance characteristics, Single phase induction motors; Synchronous machines – performance, regulation and parallel operation of generators, Servo and Stepper motors.

**Power Systems :** Transmission line models and performance; Cable performance, Insulation; Corona and radio interference; Distribution systems; Per-unit quantities; Bus impedance and admittance matrices; Load flow; Voltage control; Power factor correction; Symmetrical components; Fault analysis; Principles of over-current, differential and distance protection; Solid state relays and digital protection; Circuit breakers; System stability concepts, Swing curves and equal area criterion; HVDC transmission and FACTS concepts.

**Control Systems :** Principles of feedback circuits, transfer function, block diagrams, signal flow graphs, Masons gain formula, steady – state errors; Impulse and step response of second order systems, performance, steady state response , concepts of stability, Routh –Hurwitz criteria, Frequency domain analysis – Frequency response, Bode plot, Polar plot, Closed loop frequency response, stability in frequency domain – Nyquist criteria, lag, lead and lead – lag compensation; state space model; state transition matrix, controllability and observability.

**Analog and Digital Electronics :** Amplifiers – Equivalent circuit and frequency response; Oscillators and feedback amplifiers; Operational amplifiers – characteristics and applications; Simple active filters; VCOs and timers; Combinational and sequential logic circuits; Multiplexer; Schmitt trigger; Multi-vibrators; Sample and hold circuits; A/D and D/A converters;

**Microprocessor and Microcontrollers :** 8086 Microprocessor -, architecture, and programming, Interfacing with- Programmable Peripheral Interface ( 8255 ), Programmable Communication Interface ( 8251 ), Programmable Interrrupt controller ( 8259 ), DMA controller ( 8257 ),8051 Microcontroller architecture, programming and applications.

**Power Electronics and Drives :** Semiconductor power diodes, Thyristors, Triacs, GTOs, MOSFETs and IGBTs – static characteristics and principles of operation; Triggering circuits; Phase control rectifiers; Bridge converters – fully controlled and half controlled; Principles of choppers and inverters; Basic concepts of adjustable speed dc and ac drives, DC – DC Converters., Cycloconvertes.

**Chemical Engineering **

**Process Calculations and Thermodynamics :** Laws of conservation of mass and energy; use of tie components; recycle, bypass and purge calculations; 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, natural products industries ( Pulp and Paper, Sugar, Oil, and Fats ); petroleum refining and petrochemicals; polymerization industries; polyethylene, polypropylene, PVC and polyester synthetic fibers.

#### JEE Main

Application Form Submission 16 Dec 2020 to 16 Jan 2021.