ANNA UNIVERSITY | SYLLABUS | UNIVERSITY QUESTION PAPER | NOTES

AE6312 CAM and Manufacturing Laboratory -Semester III-AERO-BE-Anna University

ae6312-cam-and-manufacturing-laboratory-semester-iii-aero-be-anna-universityAE6312 CAM and Manufacturing Laboratory -Semester III-AERO-BE-Anna University AERO SEM III Syllabus, AERO SYLLABUS

 

 

AE6312                         CAM AND MANUFACTURING LABORATORY                             L  T   P  C

0   0 3   2

OBJECTIVES

  • To teach and train the students in the lab about the design and drafting of aero components

 

LIST OF EXPERIMENTS

  1. Design and modeling of rectangular plate with hole.
  2. Design and modeling of spar components.
  3. Design and modeling of aerofoil sections.
  4. Design and modeling of cut section for wings.
  5. Design and modeling of machine component.
  6. Design and modeling of bulk head.
  7. Design and analysis of a truss.
  8. Design and analysis of beam distributed load.
  9. Facing and Turning (Taper, Step) operations in CNC.
  10. Drilling operations in CNC.

 

OUTCOMES

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

TOTAL: 45 PERIODS

 

Ability to design and model difficult aero component and perform structural analysis using available software packages

 

LIST OF EQUIPMENTS FOR A BATCH OF 30 STUDENTS

Sl.No.

Name of the Equipment

Quantity

Experiment No.

1

Computer nodes

30

1 to 8

2

Modeling Packages

30 licenses

1 to 6

3

FEA&CAM SOFTWARE

30 licenses

7 & 8

4

UPS

1

1 to 8

5.

CNC Machine

1

9,10

5

Printer

2

All

 

AE6311 Thermodynamics Laboratory -Semester III-AERO-BE-Anna University

ae6311-thermodynamics-laboratory-semester-iii-aero-be-anna-universityAE6311 Thermodynamics Laboratory -Semester III-AERO-BE-Anna University AERO SEM III Syllabus, AERO SYLLABUS

 

 

 

AE6311                                THERMODYNAMICS LABORATORY                                            L  T P  C

0   0 3  2

OBJECTIVES

  • To enhance the basic knowledge in applied thermodynamics

 

LIST OF EXPERIMENTS

1.

Performance test on a 4-stroke engine

 

2.

Valve timing of a 4 – stroke engine and port timing of a 2 stroke engine

3.

Determination of effectiveness of a parallel flow heat exchanger

4.

Determination of effectiveness of a counter flow heat exchanger

5.

Determination of heating value of a fuel

6.

Determination of specific heat of solid

7.

Determination of thermal conductivity of solid.

8.

Determination of thermal resistance of a composite wall.

9.

COP test on a vapour compression refrigeration test rig

10.

COP test on a vapour compression air-conditioning test rig

 

 

TOTAL: 45 PERIODS

OUTCOMES

  • Ability to perform test on diesel/petrol engine
  • Ability to explain the characteristics of the diesel/Petrol engine
  • Ability to determine the properties of the fuels.

 

LIST OF EQUIPMENT FOR A BATCH OF 30 STUDENTS

 

 

Sl.No

 

Details of Equipments

Qty

Req.

Experiment

No.

1.

4 stroke twin cylinder diesel engine

1

1

2.

Cut section model of 4 stroke diesel engine and cut section model of 2 stroke petrol engine

1

2

3.

Parallel and counter flow heat exchanger test rig

1

3,4

4.

Bomb Calorimeter

1

5

5.

Vapour compression refrigeration test rig

1

9

6.

Vapour compression air-conditioning test rig

1

10

7.

Conductive heat transfer set up

1

7

8.

Composite wall

1

8

 

 

 

CE6461 Fluid Mechanics and Machinery Laboratory -Semester III-AERO-BE-Anna University

ce6461-fluid-mechanics-and-machinery-laboratory-semester-iii-aero-be-anna-universityCE6461 Fluid Mechanics and Machinery Laboratory -Semester III-AERO-BE-Anna University AERO SEM III Syllabus, AERO SYLLABUS

 

 

 

 

 

 

 

CE6461                  FLUID MECHANICS AND MACHINERY LABORATORY                      L  T  P  C

0  0 3  2

OBJECTIVES:

Upon Completion of this subject, the students can able to have hands on experience in flow measurements using different devices and also perform calculation related to losses in pipes and also perform characteristic study of pumps, turbines etc.,

 

LIST OF EXPERIMENTS

  1. Determination of the Coefficient of discharge of given Orifice meter.
  2. Determination of the Coefficient of discharge of given Venturi meter.
  3. Calculation of the rate of flow using Rota meter.
  4. Determination of friction factor for a given set of pipes.
  5. Conducting experiments and drawing the characteristic curves of centrifugal pump/ submergible pump
  6. Conducting experiments and drawing the characteristic curves of reciprocating pump.
  7. Conducting experiments and drawing the characteristic curves of Gear pump.
  8. Conducting experiments and drawing the characteristic curves of Pelton wheel.
  9. Conducting experiments and drawing the characteristics curves of Francis turbine.
  10. Conducting experiments and drawing the characteristic curves of Kaplan turbine.

TOTAL: 45 PERIODS

OUTCOMES:

  • Ability to use the measurement equipments for flow measurement
  • Ability to do performance trust on different fluid machinery

 

S. No.

NAME OF THE EQUIPMENT

Qty.

1

Orifice meter setup

1

2

Venturi meter setup

1

3

Rotameter setup

1

4

Pipe Flow analysis setup

1

5

Centrifugal pump/submergible pump setup

1

6

Reciprocating pump setup

1

 

 

LIST OF EQUIPMENT  FOR BATCH OF 30 STUDENTS

 

 

7

Gear pump setup

1

8

Pelton wheel setup

1

9

Francis turbine setup

1

10

Kaplan turbine setup

1

 

 

CE6315 Strength of Materials Laboratory -Semester III-AERO-BE-Anna University

ce6315-strength-of-materials-laboratory-semester-iii-aero-be-anna-universityCE6315 Strength of Materials Laboratory -Semester III-AERO-BE-Anna University AERO SEM III Syllabus, AERO SYLLABUS

 

 

 

 

CE6315                         STRENGTH OF MATERIALS LABORATORY                                 L T  P  C

0 0  3 2

OBJECTIVES

To supplement the theoretical knowledge gained in Mechanics of Solids with practical testing for determining the strength of materials under externally applied loads. This would enable the student to have a clear understanding of the design for strength and stiffness

 

LIST OF EXPERIMENTS

  1. Tension test on a mild steel rod
  2. Double shear test on Mild steel and Aluminium rods
  3. Torsion test on mild steel rod
  4. Impact test on metal specimen
  5. Hardness test on metals - Brinnell and Rockwell Hardness Number
  6. Deflection test on beams
  7. Compression test on helical springs
  8. Strain Measurement using Rosette strain gauge
  9. Effect of hardening- Improvement in hardness and impact resistance of steels.
  10. Tempering- Improvement Mechanical properties Comparison

(i) Unhardened specimen

(ii) Quenched Specimen and

(iii) Quenched and tempered specimen.

  1. Microscopic Examination of

(i) Hardened samples and

(ii) Hardened and tempered samples.

 

 

OUTCOMES:

  • Ability to perform different destructive testing
  • Ability to characteristic materials

 

TOTAL: 45 PERIODS

 

LIST OF EQUIPMENT FOR BATCH OF 30 STUDENTS

 

S.No.

NAME OF THE EQUIPMENT

Qty.

1

Universal Tensile Testing machine with double 1 shear attachment –

40 Ton Capacity

1

2

Torsion Testing Machine (60 NM Capacity)

1

3

Impact Testing Machine (300 J Capacity)

1

4

Brinell Hardness Testing Machine

1

5

Rockwell Hardness Testing Machine

1

6

Spring Testing Machine for tensile and compressive loads (2500 N)

1

7

Metallurgical Microscopes

3

8

Muffle Furnace (800 C)

1

 

 

 

AE6302 Elements of Aeronautics -Semester III-AERO-BE-Anna University

ae6302-elements-of-aeronautics-semester-iii-aero-be-anna-universityAE6302 Elements of Aeronautics -Semester III-AERO-BE-Anna University AERO SEM III Syllabus, AERO SYLLABUS

 

 

 

AE6302                                       ELEMENTS OF AERONAUTICS                                          L  T  P  C

3 0  0 3

OBJECTIVES:

  • To introduce the concepts of flying, International standard atmosphere, structural aspects of airplanes, brief description of systems, instruments and power plants used in airplanes.

 

UNIT I             HISTORY OF FLIGHT                                                                                                    8

Balloon flight – ornithopters - early airplanes by wright brothers, biplanes and monoplanes, developments in aerodynamics, materials, structures and propulsion over the years.

 

UNIT II            BASICS OF FLIGHT MECHANICS                                                                               9

Physical properties and structure of the atmosphere, temperature, pressure and altitude relationships, newton’s law of motions applied to aeronautics - evolution of lift, drag and moment. aerofoils, mach number, maneuvers.

 

UNIT III           AIRCRAFT CONFIGURATIONS                                                                                  10

Different types of flight vehicles, classifications. components of an airplane and their functions. conventional control, powered control, basic instruments for flying - typical systems for control actuation.

 

UNIT IV          AIRPLANE STRUCTURES AND MATERIALS                                                              9

General types of construction, monocoque, semi-monocoque and geodesic constructions, typical wing and fuselage structure. metallic and non-metallic materials, use of aluminium alloy, titanium, stainless steel and composite materials. stresses and strains –  hooke’s law – stress - strain diagrams -  elastic constants.

 

UNIT V           POWER PLANTS                                                                                                           9

Basic ideas about piston, turboprop and jet engines - use of propeller and jets for thrust production - comparative merits, principles of operation of rocket, types of rockets and typical applications, exploration into space.

 

 

OUTCOMES

  • Identify the component of Flight
  • Identify suitable materials for Aircraft structure

 

TOTAL: 45 PERIODS

 

  • Perform basic calculation on Mechanics using Newton law for lift, drag and moment.

 

TEXT BOOKS:

  1. Anderson, J.D., “Introduction to Flight”, McGraw-Hill, 1995.
  2. Stephen. A. Brandt, "Introduction to Aeronautics: A design perspective" American Institute of

Aeronautics & Astronautics,1997

 

REFERENCES:

  1. Kermode, A.C., “Mechanics of Flight”, Himalayan Book, 1997

 

CE6452 Solid Mechanics -Semester III-AERO-BE-Anna University

ce6452-solid-mechanics-semester-iii-aero-be-anna-universityCE6452 Solid Mechanics -Semester III-AERO-BE-Anna University AERO SEM III Syllabus, AERO SYLLABUS

 

 

 

 

CE6452

SOLID MECHANICS

L  T  P

C

 

 

3   0 0

3

OBJECTIVES:

  • To introduce various behavior of structural components under various loading conditions.

 

UNIT I             INTRODUCTION                                                                                                           8

Definition of stress, strain and their relations – relations between material constants – axial loading - statically determinate and indeterminate problems in tension & compression – plane truss analysis – method of joints – method of sections – 3-D trusses – thermal stresses – impact loading.

 

UNIT II            STRESSES IN BEAMS                                                                                                10

Shear force & bending moment diagrams: bending and shear stress variation in beams of symmetric sections, a typical spar section: beams of uniform strength -  beams of two materials.

 

UNIT III           DEFLECTION OF BEAMS                                                                                           10

Double integration method – macaulay’s method – moment area method – conjugate beam method –

principle of superposition – maxwell’s reciprocal theorem.

 

UNIT  IV         TORSION – SPRINGS – COLUMNS                                                                           10

Torsion of solid and hollow circular shafts – shear stress variation – open and closed-coiled helical springs – stresses in helical springs – classification of columns – euler buckling – columns with different end conditions.

 

UNIT  V          BIAXIAL STRESSES                                                                                                     7

Stresses in thin-walled pressure vessels – combined loading of circular shaft with bending, torsion and axial loadings – Mohr’s circle and its construction – determination of principal stresses.

TOTAL: 45 PERIODS

OUTCOMES

  • Solve the problems related to the structural components under various loading conditions.

 

TEXT BOOKS:

  1. William Nash, "Strength of Materials", Tata McGraw Hill, 2004
  2. Timoshenko and Young “Strength of Materials” Vol. I & II

 

REFERENCES:

  1. Dym,C.L., and Shames,I.H., ‘Solid Mechanics’, McGraw Hill, Kogakusha, Tokyo, 1973.
  2. Stephen Timoshenko, ‘Strength of Materials’, Vol I & II, CBS Publishers and Distributors, Third

Edition.

  1. Timoshenko,S. and Young, D.H., ‘Elements of Strength of Materials’, T.Van Nostrand Co. Inc., Princeton, N.J., 1977.

 

CE6451 Fluid Mechanics and Machinery -Semester III-AERO-BE-Anna University

ce6451-fluid-mechanics-and-machinery-semester-iii-aero-be-anna-universityCE6451 Fluid Mechanics and Machinery -Semester III-AERO-BE-Anna University AERO SEM III Syllabus, AERO SYLLABUS

 

 

 

 

CE6451                             FLUID MECHANICS AND MACHINERY                                       L  T  P  C

3 0  0 3

OBJECTIVES:

  • The applications of the conservation laws to flow through pipes and hydraulic machines are studied
  • To understand the importance of dimensional analysis.
  • To understand the importance of various types of flow in pumps and turbines.

 

UNIT I             FLUID PROPERTIES AND FLOW CHARACTERISTICS                                              8

Units and dimensions- Properties of fluids- mass density, specific weight, specific volume, specific gravity, viscosity, compressibility, vapor pressure, surface tension and capillarity. Flow characteristics

– concept of control volume - application of continuity equation, energy equation and momentum

equation.

 

UNIT II            FLOW THROUGH CIRCULAR CONDUITS                                                                   8

Hydraulic and energy gradient - Laminar flow through circular conduits and circular annuli-Boundary layer concepts – types of boundary layer thickness – Darcy Weisbach equation –friction factor- Moody diagram- commercial pipes- minor losses – Flow through pipes in series and parallel.

 

UNIT III           DIMENSIONAL ANALYSIS                                                                                           9

Need for dimensional analysis – methods of dimensional analysis – Similitude –types of similitude - Dimensionless parameters- application of dimensionless parameters – Model analysis.

 

UNIT IV          PUMPS                                                                                                                          10

Impact of jets - Euler’s equation - Theory of roto-dynamic machines – various efficiencies– velocity components at entry and exit of the rotor- velocity triangles - Centrifugal pumps– working principle - work done by the impeller - performance curves - Reciprocating pump- working principle – Rotary pumps –classification.

 

UNIT V           TURBINES                                                                                                                    10

Classification of turbines – heads and efficiencies – velocity triangles. Axial, radial and mixed flow turbines. Pelton wheel,  Francis turbine and Kaplan turbines- working principles - work done by water on the runner – draft tube. Specific speed - unit quantities – performance curves for turbines – governing of turbines.

 

 

OUTCOMES:

 

TOTAL: 45 PERIODS

 

  • Upon completion of this course, the students can able to apply mathematical knowledge to predict the properties and characteristics of a fluid.
  • Can critically analyse the performance of pumps and turbines.

 

TEXT BOOK:

  1. Modi P.N. and Seth, S.M. "Hydraulics and Fluid Mechanics", Standard Book House, New Delhi

2004.

 

REFERENCES:

  1. Streeter, V. L. and Wylie E. B., "Fluid Mechanics", McGraw Hill Publishing Co. 2010
  2. Kumar K. L., "Engineering Fluid Mechanics", Eurasia Publishing House(p) Ltd., New Delhi

2004

  1. Robert W.Fox, Alan T. McDonald, Philip J.Pritchard, “Fluid Mechanics and Machinery”, 2011.
  2. Graebel. W.P, "Engineering Fluid Mechanics", Taylor & Francis, Indian Reprint, 2011

 

AE6301 Aero Engineering Thermodynamics -Semester III-AERO-BE-Anna University

ae6301-aero-engineering-thermodynamics-semester-iii-aero-be-anna-universityAE6301 Aero Engineering Thermodynamics -Semester III-AERO-BE-Anna University AERO SEM III Syllabus, AERO SYLLABUS

 

 

 

 

AE6301                               AERO ENGINEERING THERMODYNAMICS                              L  T  P  C

3   0 0  3

OBJECTIVES:

  • To achieve  an  understanding  of  principles  of  thermodynamics  and  to  be  able  to  use  it  in accounting for the bulk behavior of the simple physical systems.
  • To provide  in-depth  study  of  thermodynamic  principles,  thermodynamics  of  state,  basic thermodynamic relations, Properties of pure substances
  • To enlighten the basic concepts of heat transfer and propulsion cycles.

 

UNIT I             BASIC CONCEPT AND FIRST LAW                                                                              9

Concept of continuum, macroscopic approach, thermodynamic systems – closed, open and isolated. Property, state, path and process, quasi-static process, work, modes of work, Zeroth law of thermodynamics- concept of temperature and heat, internal energy, specific heat capacities, enthalpy

- concept of ideal and real gases. First law of thermodynamics - applications to closed and open systems - steady flow processes with reference to various thermal equipments.

 

UNIT II            SECOND LAW AND ENTROPY                                                                                      9

Second law of thermodynamics – kelvin planck and clausius statements of second law. Reversibility and irreversibility - carnot theorem. carnot cycle, reversed carnot cycle, efficiency, COP - thermodynamic temperature scale - clausius inequality, concept of entropy, entropy of ideal gas, principle of increase of entropy.

 

UNIT III           THERMODYNAMIC AVAILABILITY AND AIR STANDARD CYCLES                         9

Basics – energy in non-flow processes: expressions for the energy of a closed system – equivalence between mechanical energy forms and exergy – flow of energy associated with heat flow – exergy consumption and entropy generation - exergy in steady flow processes: expressions for exergy in steady flow processes – exergy dissipation and entropy generation - otto, diesel, dual and brayton cycles - air standard efficiency - mean effective pressure.

 

UNIT IV          PROPERTIES OF PURE SUBSTANCE AND POWER CYCLE                                   8

Properties of pure substances – thermodynamic properties of pure substances in solid, liquid and vapour phases, phase rule, P-V, P-T, T-V, T-S, H-S diagrams, PVT surfaces, thermodynamic properties of steam - calculations of work done and heat transfer in non-flow and flow processes - standard rankine cycle, reheat and regeneration cycle.

 

UNIT V           BASICS OF PROPULSION AND HEAT TRANSFER                                                   10

Classification of jet engines - simple jet propulsion system – thrust equation – specific impulse –ideal and non-ideal cycle analysis - conduction in parallel, radial and composite wall – basics of convective and radiation heat transfer.

TOTAL: 45 PERIODS

(Use of standard thermodynamic tables, Mollier diagram and tables are permitted)

 

OUTCOMES

  • Apply Mathematical foundations, principles in solving thermodynamics problems.
  • Critically analyse the problem, and solve the problems related to heat transfer and propulsion

 

TEXT BOOKS:

  1. Nag.P.K., “Engineering Thermodynamics”, Tata McGraw-Hill, New Delhi, 2007.
  2. Rathakrishnan E., “Fundamentals of Engineering Thermodynamics”, Prentice-Hall India, 2005.

 

REFERENCES:

  1. Ramalingam K.K. “Thermodynamics”, Sci-Tech Publications, 2006
  2. Holman.J.P., “Thermodynamics”, 3rd Edition, McGraw-Hill, 2007.
  3. Venwylen and Sontag, “Classical Thermodynamics”, Wiley Eastern, 1987
  4. Arora C.P, “ Thermodynamics”, Tata McGraw-Hill, New Delhi, 2003.
  5. Merala C, Pother, Craig W, Somerton, “Thermodynamics for Engineers”, Schaum Outline Series, Tata McGraw-Hill, New Delhi, 2004.

 

ME6352 Manufacturing Technology -Semester III-AERO-BE-Anna University

me6352-manufacturing-technology-semester-iii-aero-be-anna-universityME6352 Manufacturing Technology -Semester III-AERO-BE-Anna University AERO SEM III Syllabus, AERO SYLLABUS

 

 

 

 

 

 

ME6352                                     MANUFACTURING TECHNOLOGY                                     L  T  P  C

3   0 0  3

OBJECTIVES

  • The automobile components such as piston, connecting rod, crankshaft, engine block, front axle, frame, body etc., are manufactured by various types of production processes involving casting, welding, machining, metal forming, power metallurgy etc. Hence B.E. Automobile Engineering students must study this course Production Technology.

 

UNIT I             CASTING                                                                                                                         8

Casting types,  procedure to make sand mould,  types  of  core making,  moulding  tools, machine moulding, special moulding processes – CO2 moulding; shell moulding, investment moulding, permanent mould casting, pressure die casting, centrifugal casting, continuous casting, casting defects.

 

UNIT II            WELDING                                                                                                                       8

Classification of welding processes. Principles of Oxy-acetylene gas welding. A.C metal arc welding, resistance welding, submerged arc welding, tungsten inert gas welding, metal inert gas welding, plasma arc welding, thermit welding, electron beam welding, laser beam welding, defects in welding, soldering and brazing.

 

UNIT III           MACHINING                                                                                                                  13

General principles (with schematic diagrams only) of working and commonly performed operations in the following machines: Lathe, Shaper, Planer, Horizontal milling machine, Universal drilling machine, Cylindrical grinding machine, Capstan and Turret lathe. Basics of CNC machines. General principles and applications of the following processes: Abrasive jet machining, Ultrasonic machining, Electric discharge machining, Electro chemical machining, Plasma arc machining, Electron beam machining and Laser beam machining.

 

UNIT IV          FORMING AND SHAPING OF PLASTICS                                                                      7

Types  of  plastics  -  Characteristics  of  the  forming  and  shaping  processes   –  Moulding  of Thermoplastics – Working principles and typical applications of - Injection moulding – Plunger and screw machines – Blow moulding – Rotational moulding – Film blowing – Extrusion - Typical industrial applications – Thermoforming – Processing of Thermosets – Working principles and typical applications - Compression moulding – Transfer moulding – Bonding of Thermoplastics – Fusion and solvent methods – Induction and Ultrasonic methods

 

UNIT V           METAL FORMING AND POWDER METALLURGY                                                      9

Principles and applications of the following processes: Forging, Rolling, Extrusion, Wire drawing and Spinning, Powder metallurgy – Principal steps involved advantages, disadvantages and limitations of powder metallurgy.

TOTAL: 45 PERIODS

 

OUTCOMES:

  • The Students can able to use different manufacturing process and use this in industry for component production

 

TEXT BOOKS

  1. Hajra Choudhury, “Elements of Workshop Technology”, Vol. I and II, Media Promoters and

Publishers Pvt., Ltd., Mumbai, 2005.

  1. Nagendra Parashar B.S. and Mittal R.K., “Elements of Manufacturing Processes”, Prentice-Hall of India Private Limited, 2007.

 

REFERENCES

  1. Serope Kalpajian,  Steven  R.Schmid,  “Manufacturing  Processes  for  Engineering  Materials”, Fourth Edition, Pearson Education, Inc. 2007.
  2. Jain. R.K. and S.C. Gupta, “Production Technology”, Khanna Publishers. 16th Edition,2001.
  3. “H.M.T. Production Technology – Handbook”, Tata McGraw-Hill, 2000.
  4. Roy. A. Linberg, “Process and Materials of Manufacture”, PHI, 2000.
  5. Adithan. M and Gupta. A.B., “Manufacturing Technology”, New Age, 2006.

 

 

MA6351 Transforms and Partial Differential Equations -Semester III-AERO-BE-Anna University

ma6351-transforms-and-partial-differential-equations-semester-iii-aero-be-anna-universityMA6351 Transforms and Partial Differential Equations -Semester III-AERO-BE-Anna University AERO SEM III Syllabus, AERO SYLLABUS

 

 

 

MA6351            TRANSFORMS  AND  PARTIAL  DIFFERENTIAL  EQUATIONS                L  T P  C

3 1  0  4

OBJECTIVES

  • To introduce Fourier series analysis which is central to many applications in engineering apart from its use in solving boundary value problems.
  • To acquaint the student with Fourier transform techniques used in wide variety of situations.
  • To introduce the effective mathematical tools for the solutions of partial differential equations that model several physical processes and to develop Z transform techniques for discrete time

systems.

 

UNIT I             PARTIAL  DIFFERENTIAL  EQUATIONS                                                               9 + 3

Formation of partial differential equations – Singular integrals -- Solutions of standard types of first order partial differential equations - Lagrange’s linear equation -- Linear partial differential equations of second and higher order with constant coefficients of both homogeneous and non-homogeneous types.

 

UNIT II            FOURIER SERIES                                                                                                   9 + 3

Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series – Half range cosine series – Complex form of Fourier series – Parseval’s identity – Harmonic analysis.

 

UNIT III           APPLICATIONS  OF PARTIAL  DIFFERENTIAL  EQUATIONS                           9 + 3

Classification of PDE – Method of separation of variables - Solutions of one dimensional wave equation – One dimensional equation of heat conduction  – Steady state solution of two dimensional equation of heat conduction (excluding insulated edges).

 

UNIT IV          FOURIER TRANSFORMS                                                                                      9 + 3

Statement   of   Fourier   integral   theorem       –   Fourier   transform   pair   –   Fourier   sine   and cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s identity.

 

UNIT V           Z - TRANSFORMS  AND  DIFFERENCE  EQUATIONS                                         9 + 3

Z- transforms - Elementary properties – Inverse Z - transform (using partial fraction and residues) – Convolution theorem - Formation of  difference  equations – Solution of difference  equations  using  Z

- transform.

 

 

OUTCOMES

 

TOTAL (L:45+T:15): 60 PERIODS

 

  • The understanding  of  the  mathematical  principles  on  transforms  and  partial  differential equations would provide them the ability to formulate and solve some of the physical problems of engineering.

 

TEXT BOOKS

  1. Veerarajan. T., "Transforms and Partial Differential Equations", Tata McGraw Hill Education Pvt.

Ltd., New Delhi, Second reprint, 2012.

  1. Grewal. B.S., "Higher Engineering Mathematics", 42nd  Edition, Khanna Publishers, Delhi, 2012.
  2. Narayanan.S., Manicavachagom  Pillay.T.K  and  Ramanaiah.G  "Advanced  Mathematics  for

Engineering Students"  Vol. II & III,  S.Viswanathan  Publishers  Pvt  Ltd. 1998.

 

REFERENCES

  1. Bali.N.P and  Manish  Goyal,  "A  Textbook  of  Engineering  Mathematics",  7th   Edition,  Laxmi

Publications Pvt  Ltd , 2007.

  1. Ramana.B.V., "Higher Engineering Mathematics", Tata Mc-GrawHill Publishing Company Limited, NewDelhi, 2008.

 

  1. Glyn James, "Advanced Modern Engineering Mathematics", 3rd Edition, Pearson Education, 2007.
  2. Erwin Kreyszig, "Advanced Engineering Mathematics", 8th Edition, Wiley India, 2007.
  3. Ray Wylie. C and Barrett.L.C, "Advanced Engineering Mathematics" Tata Mc Graw Hill Education

Pvt Ltd, Sixth Edition, New Delhi, 2012.

  1. Datta.K.B., "Mathematical Methods of Science and Engineering", Cengage Learning India Pvt Ltd, Delhi, 2013.