Course-Plan Autumn 2016

Course: M.Tech

Department of Mechanical Engineering

Tezpur University, Tezpur

Ist Semester

Course Code: ME501

Course Name: Advanced Solid Mechanics

Instructor: Sushen Kirtania, Asst. Professor, Department of Mechanical

Engineering

Phone: +91 3712275857, Email: sushen@tezu.ernet.in

Abstract: After an introductory course on solid mechanics, an advanced course on this

subject is

essential for most engineers to acquire a good foundation in the mechanics of deformable

solids.

This course will expand on the basic principles established previously in Solid Mechanics.

Methods of three-dimensional (3D) stress and strain analysis will be extended to allow the

student

to obtain solutions using analytical and numerical methods. This course will provide a

number of

examples on practical applications of solid mechanics analysis based on modern research

techniques.

Objectives: The main objectives of this course are -

solid mechanics

using

the theory of elasticity

engineering problems concerned with stress and deformation analysis.

transformations, alternative measures of strain,

elastic constitutive equations, stress measures, formulation and solution of 2D and 3D

elasticity problems.

mechanics, stress concentration, pressure vessels and compound cylinders.

Prerequisites of the course: None.

Lecture Plan:

Sl. Topics Contents L+T

1. Analysis of stress

Introduction, State of stress

at a point, Cauchy’s stress

formula, Principal stresses,

Stress invariants, 3D Mohr’s

circle, Octahedral stresses,

Hydrostatic and deviatoric

stresses,

7+2

Differential equations of

equilibrium in rectangular

coordinate, Stress boundary

conditions, Plane stress and

plane

stress problems.

2. Analysis of strain

Introduction, Definitions of

normal and shear strains,

Principal

strain, Strain invariants,

Plane strain in rectangular

and polar

coordinates, Compatibility

conditions.

6+1

Total number of classes = L+T= 42+10 = 52

Evaluation Plan:

(i) Four class tests (One assignment type) = (25×4=) 100 Marks (Time: 30 minutes each)

(ii) Major-I (Mid-Sem) = 40 Marks (Time: 1 Hour)

(iii) Major-II (End-Sem) = 60 Marks (Time: 2 Hours)

Pedagogy: Lecture and discussion, Class tests, Tutorials, Mini-project.

Expected outcome: On completion of this course, students will be able to –

-strain correlations.

Textbooks:

1. L.S. Srinath, “Advanced Mechanics of Solids” 3rd ed., Tata McGraw-Hill Publishing Co.

Ltd. New Delhi, 2015

2. A.P. Boresi and R.J. Schmidt, “Advanced Mechanics of Materials” 6th ed., Wiley India,

New Delhi, 2003

References:

1. S. P. Timoshenko and J. N. Goodier, “Theory of Elasticity’ 3rd ed., McGraw Hill,

Aucland,

1970.

2. R.G. Budynas, “Advanced Strength and Applied Stress Analysis” 2nd ed., McGraw-Hill

3. M.H. Sadd, “Elasticity: Theory, Applications, and Numerics” Elsevier, 2006

4. P. Raymond, “Solid Mechanics in Engineering” 1st ed., John Willey & Sons.

Class scheduled:

Day Time Class Room

3.

Stress-strain

relations for

linearly elastic

solids

Generalized Hooke’s law,

Relations between the

elastic constants,

Plane stress and plane strain

relation, Displacement

equations of

6+1

equilibrium (Lame’s

equations), Compatibility of

elastic stress

components.

4. Axisymmetric

Problems

Differential equations of

equilibrium in polar

coordinate, Thick

and thin walled cylinders,

Composites tubes, Rotating

disks.

6+1

5. Bending of beams

Bending of symmetrical and

unsymmetrical straight

beams, Shear

stresses in beams, Shear

center, Shear stresses in

thin-walled open

section, Shear flow,

Analysis of curved beam.

5+2

6. Torsion

Torsion of circular, elliptical

and rectangular bars;

Torsion of thin

walled sections.

4+1

7. Energy methods

Introduction, Principal of

superposition, Elastic strain

energy and

complementary energy,

Reciprocal relations,

Maxwell-Betti

theorem, Castigliano’s

theorem, Virtual work

principal, Statically

indeterminate structures,

Kirchoff’s theorem.

5+1

8. Elastic stability

Euler’s buckling load, Beam

column, Eigenvalue

problem.

3+1

Course Code: ME-504

Course Name: Failure Analysis of Materials

Course Instructor: Dr. Sanjib Banerjee

1. Abstract: A brief introduction to the course and its significance.

The course offers the basics and advances of Failure Analysis. The general topics like causes

and principles of failures are covered. The various aspects of failure mechanics as well as

different modes of failures like creep, fatigue and fracture are then discussed in detail.

The significance of the course lies on the in-depth knowledge in principles and modes of failure

in various materials, which has its major applications from design aspects.

2. Objectives:

a. to give detailed knowledge in principles of fracture and failure.

b. to generate ideas on different modes of failure.

c. to increase interest in application of knowledge in failure in the field of mechanical design.

3. Prerequisites of the course:

Basic knowledge on Mechanical Design (ME 305) and Material Science (ME 203) is

preferable.

4. Course outline + suggested reading:

Course outline:

Introduction, common causes of failure, failure investigation, principles of failure

analysis;

Fracture mechanics: energy approach and stress intensity factor approach to linear

elastic fracture mechanics, concept of crack tip opening displacement and J-integral

fracture criteria, mechanisms of fracture, evaluation of fracture toughness, fracture in

composite materials, computational fracture mechanics analysis, fracture mechanics in

nano materials and structures;

Creep - stress-time-temperature relations, creep curve;

Fatigue - stresses in cyclic loading, fatigue testing, S-N curves and endurance limit,

mechanisms of fatigue crack initiation and propagation, influence of stress

concentration on fatigue strength, notch sensitivity, factors influencing fatigue

behaviour, prevention of fatigue failure.

Texts Books:

1. Kumar, P. Elements of Fracture Mechanics (McGraw-Hill, 2009)

2. Anderson, T.L. Fracture Mechanics: Fundamentals and Applications (CRC Press, 2004)

References:

1. Bruck, D. Elementary Engineering Fracture Mechanics (Springer, 1986)

2. Barson, J.M. and Rolfe, S.T. Fracture and Fatigue Control in Structures (Butterworth-

Heinemann, 1999)

3. Dieter, G. Mechanical Metallurgy (McGraw-Hill, 1986)

4. Calister, W.D. Material Science and Engineering: An Introduction (John Wiley & sons,

2009)

5. Gdoutos, E.E. Fracture of Nano and Engineering Materials and Structures (Springer, 2006)

5. (a) Time-Plan

Topics Lectures

Introduction, common causes of failure, failure investigation,

principles of failure analysis;

10

Fracture mechanics: energy approach and stress intensity factor

approach to linear elastic fracture mechanics, concept of crack

tip opening displacement and J-integral fracture criteria,

mechanisms of fracture, evaluation of fracture toughness,

fracture in composite materials, computational fracture

mechanics analysis, fracture mechanics in nano materials and

structures;

15

Creep - stress-time-temperature relations, creep curve; 5

Fatigue - stresses in cyclic loading, fatigue testing, S-N curves

and endurance limit, mechanisms of fatigue crack initiation and

propagation, influence of stress concentration on fatigue

strength, notch sensitivity, factors influencing fatigue behavior,

prevention of fatigue failure;

10

Total 40

(b) Evaluation plan

Component Marks

Type A Test I 25

Type A Test II 25

Type A Test III (Major I) 40

Type A Test IV 25

Type A Test V 25

Major I (End term) 60

Total 200

6. Pedagogy: Students should visualize the failure modes and principles and expertise in

applications of the knowledge in mechanical design, considering the concerned material

strength.

7. Expected outcome:

At the completion of the course the student will be able to:

i. Identify the different principles, causes and modes of fracture and failure.

ii. Apply knowledge of fracture and failure in the field of mechanical design.

iii. Present the outcome carried out in the form of group projects on advanced designing of

mechanical/structural components considering the in-depth knowledge of material

failure.

iv. Correlate design considerations with material strength and properties.

Course Code: ME 561

Course Name: Experimental Methods for Solids and Fluids

Instructor: Dr. P. P. Dutta & Ms. Z. Kalita.

1. Abstract: Laboratory work has become more important and sophisticated in modern

engineering curriculum. Conventional laboratory experiments have been replaced by

experiments with electronic instrumentation and computer based data acquisition

system. Statistical methods are used to evaluate the experimental data quality. The

course consists of designing and conducting laboratory experiments, including analysis

and interpretation of data. The course will start with examples of simulation and

corresponding experimentations. Various statistical parameters will be evaluated for the

simulated and experimental data. Various signal processing techniques will be used for

the analysis of data.

2. Objective: To be able to design and conduct experiments

3. Prerequisites of the course: None

4. Course outline + suggested reading:

Theory and experimentation in engineering - problem solving approaches, types of

engineering experiments, computer simulation and physical experimentation;

Generalized measuring system, types of inputs, analog and digital signals, standards,

calibration and uncertainty, measurement system – performance characteristics;

Analysis of experimental data, error analysis, uncertainty analysis, data reduction techniques,

statistical analysis of data, probability distributions and curve fitting;

Material properties, experimental measurement of force, torque, stress, strain, and

displacement in solids and structures, photoelasticity and strain gauges, investigation of the

microstructure of materials, digital image correlation technique;

Measurement of pressure, flow measurement and flow visualization, flow velocity

measurement, measurement of temperature, optical methods of measurements, hot wire

anemometry, hot film anemometry, laser Doppler anemometer, instrumentation in two-phase

flows

Textbooks:

Holman, J. Experimental Methods for Engineers (McGraw-Hill, 2000)

Clemens, N.T. and Tropea, C. Experiments in Fluids (Springer, 1983)

Reference:

Goldstein, R.J. Fluid Mechanics Measurements (Taylor & Francis, 1996)

2

5. (a) Time-Plan:

Theory Classes

Topic No. of theory

classes

Theory and experimentation in engineering 3

Generalized measuring system 4

Statistical Analysis: Analysis of experimental data 10

Signal Processing 10

measurement of force, torque, stress, strain, and

displacement 6

Pressure measurements, flow measurement and

flow

visualization

6

Practical classes

Simulation and Experimentation: 26 classes

5. (b) Evaluation plan: Evaluation would be based upon the following:

Component Marks

Test I 25

Test II 25

Test III (Major I) 40

Test IV (Assignment) 25

Test V 25

Test VI (Major II) 60

Mid term laboratory viva 20

End term laboratory viva 30

Total 250

6. Pedagogy: Detailed electronics based experimentation will be explained. Various

statistical parameters will be evaluated for the simulated data as well as experimental

data. Theory of various signal processing techniques will be explained. Matlab signal

processing toolbox will be used for implementing the signal processing techniques.

7. Expected outcome: After completing the course the student will be able to

Understand modern engineering experimentation, including experiment design, calibration,

data acquisition, analysis, and interpretation.

Conduct experiments using real-world transducers with specifications on

resolution and accuracy.

Analyse the data using signal processing technique.

Course Code : ME537 (Elective)

Course Name : Applied Computational Methods

Course Structure (L-T-P-CH-Cr) : 3-1-0-4-4

Instructor: Dr. Dilip Datta

Abstract

This is an introductory course on computational methods for solving complicated mathematical

models numerically. The course broadly covers roots finding, regression analysis, numerical

differentiation and integration, and solutions of ordinary and partial differential equations.

2. Objective

The objective of the course is to give the students the ideas how mathematical models, not

solvable by exact methods, can be solved numerically.

3. Prerequisite of the Course To opt this course, a student should have some computer

programming knowledge/skill.

4. Course Outline + Suggested Reading

Module Topic

1 Approximations and error analysis.

2 Roots of single-variable equations and polynomials.

3 Solution of system of equations.

4 Curve fitting.

5 Numerical differentiation.

6 Numerical integration.

7 Solution of ordinary differential equations.

8 Solution of partial differential equations.

Suggested Reading:

a) S.C. Chapra and R.P. Canade. Numerical Methods for Engineers. Tata McGraw-Hill, 2006.

b) J.H. Mathews. Numerical Methods for Mathematics, Science and Engineering. Prentice-

Hall of

India, 2000.

1

5. Time and Evaluation Plans

(a) Time Plan

SN Contents L+T

1 Introduction, approximations and error

analysis 2+1

2

Roots of single-variable nonlinear

equations { bracketing methods, bisec

tion method, false position method, fixed

point iteration, Newton-Raphson

method and secant method

3+1

3

Roots of singe-variable polynomials {

polynomial deflation, Bairstows

method and Muller method

3+1

4

Solution of linear system of equations {

Gauss elimination method, Gauss

Jordan method, matrix inversion, LU

decomposition, Jacobi iteration and

Gauss-Seidel iteration

6+2

5

Solution of nonlinear system of equations

{ fixed point iteration, Newtons

method, Jacobian matrix and Seidel

iteration

3+1

6

Curve fitting { least-square line fitting,

exponential curve fitting, Lagrange

polynomial and Newtons polynomial,

interpolation by piece-wise linear,

quadratic and cubic splines

6+2

7 Eigenvalues and eigenvectors of

homogeneous and symmetric matrices 3+1

8 Numerical differentiation { finite

difference methods 3+1

9

Numerical integration { trapezoidal rule,

Simpsons rules, Romberg integra

tion and Gauss quadrature

3+1

10

Solution of ordinary differential

equations { Euler and Runge-Kutta meth

ods for initial value problem, shooting

and finite difference methods for

6+2

boundary value problems, eigenvalue

problems

11 Solution of partial differential equations {

elliptical and parabolic equations 3+1

Total contact hours 41+14

(b) Evaluation Plan

SN Component Marks Time Period

1 Test I 25 30 minutes

2 Test II 25 30 minutes

3 Major I 40 1 hour

4 Test III 25 Assignment

type

5 Test IV 25 30 minutes

6 Major II 60 2 hours

Total 200

6. Pedagogy

(a) Teaching-learning methods will be adopted in a way to support the discussion on each

module

by 1 or 2 hand-on/tutorial class(es) for better understanding.

(b) Learning of students will be evaluated through computer assignments, class test/quiz, and

examinations.

(c) Teaching of the instructor will be evaluated by students through a questionnaire.

7. Expected Outcome From this course, students would learn how to solve a mathematical

model numerically using the computing power of a computer, which is very tough or even

impossible to solve by an exact method.

Course Code ME 541

Course Name Advanced Fluid Mechanics

Instructor Dr. Tapan Kumar Gogoi

Lecture Plan

Tentative

Lecture

Topics

1-2 Preliminary concepts:

Definition and types of fluid, body force, surface force, scalar and vector

fields, Eulerian and Lagrangian description of flow, motion of fluid element

- translation, rotation and deformation, laminar and turbulent flow etc.

3-9 Governing equations:

Integral and differential forms of governing equations - mass, momentum

and energy conservation equations. Reynolds transport theorem, properties

of stress tensor; principle of local stress equilibrium. Stream function,

vorticity and strain-rate tensors in Cartesian and cylindrical coordinates.

9-16 Equation of motion:

Stokes law of viscosity , Cauchy’s equations of motion, constitutive

equations, Navier-Stokes equations, Exact solutions of NS equation:

Coquette flow, Poiseuille flow, Plane Couette-Poiseuille flow, Flow between

two concentric rotating cylinders; flow through duct, theory of

hydrodynamic lubrication, Steady and unsteady external flow, Stokes first

and second order problems.

17-24 Boundary layer:

Laminar boundary layer, Prandtl’s boundary layer theory, similarity

solution, momentum integral equation for boundary layer, Karman

Pohlhausen method for flow over a flat plate and flows with non zero

pressure gradient(flow past a circular cylinder), Entry flow in duct, boundary

layer separation and vortex shedding, Control of boundary layer separation.

25-30 Hydrodynamic Stability:

Introduction to hydrodynamic stability, Stability in elementary flow fields

(uniform parallel flow), Rayleigh’s theorem, Stability in boundary layers,

Derivation Orr-Sommerfeld equation and its numerical solution.

31-36 Turbulent flow:

Introduction, laminar-turbulent transition, governing equations for turbulent

flow, turbulent BL equations, Flat plate turbulent boundary layer, Prandtl

mixing length hypothesis, k-ε model of turbulence, Universal velocity

distribution and friction factor, Universal velocity profile in flat plate and

rectangular duct.

37-40 Review of compressible flow :

Isentropic flow, flow with area change, flow with heat transfer, flow with

friction, sonic flow, supersonic flow, shock waves, Prandtl Mayor’s

equation.

Evaluation Scheme:

Test (Type A)

1. Test-I 25

2. Test-II 25

3. Test-III 40

4. Test IV 25

5. Test-V 25

Semester End Examination 60

Pedagogy: Teaching-learning methods to be used:

Lecture and discussion on regular basis

Presentations

Class tests, assignments

Expected outcome:

The contents which are covered in “Advanced Fluid Mechanics” are highly

mathematical in nature. Students will get an exposure to learn fluid mechanics at advanced

level. They will get to clear their concepts regarding the governing equations of fluid flow and

their solution techniques in various flow problems.

Textbooks

1. Muralidhar, K. and Biswas, G. Advanced Engineering Fluid Mechanics. (Narosa

Publishing House, 2005)

2. Binder, R.C. Advanced Fluid Dynamics (Prentice Hall,1958)

References

1. Schlichting, H. Boundary Layer Theory (McGraw-Hill, 1979)

2. White, F.M. Viscous Fluid Flow (McGraw-Hill, 2011)

3. Munson, B.R., Young, D.F. and Okiishi, T.H. Fundamental of Fluid Mechanics (John

Wiley & Sons, 2002)

4. Panton, R.L. Incompressible Flow (Wiley, 2005)

5. Anderson, J.D. Modern Compressible Flow with Historical Perspective (McGraw-Hill,

1990)

Course Code : ME 549

Course Name : Conduction and Radiation heat transfer

Instructor: Prof. Tapan Kr. Gogoi Ms. Shikha Bhuyan

1. Abstract: ME 549 is an elective course offered for the M. Tech. programme in Thermal Engineering

under the Department of Mechanical Engineering. The main focus of the course is on the

methods for solving Conduction and Radiation heat transfer problems. The emphasis is on the

analytical and the numerical methods for the study of Conduction heat transfer. Also, a

condensed overview of radiation heat transfer, focusing primarily on radiant exchange

between surfaces and the prediction of radiation transfer in absorbing, emitting, and

scattering media is made.

2. Objective: The course shall be taught with the following objectives:

i. To introduce the students to the initial and boundary value problems

ii. Familiarize the students with the physics and calculations involving transient conduction

iii. Teach the mathematical behavior of steady and unsteady 1D and 2D heat conduction

equation

iv. Orient the students towards research fields in experimental and computational fluid

dynamics and Heat transfer.

v. Give exposure to the Radiative heat transfer in non-participating and participating media.

3. Prerequisites of the course:

Elementary knowledge of Heat transfer course (Bachelor Degree).

4.Course outline: Conduction: Derivation of energy equation for conduction in three dimensions – Initial and

boundary conditions. Transient conduction- Concept of Biot number – Lumped capacitance

formulation unsteady conduction from a semiinfinite solid-solution by similarity

transformation method, Solution of the general 1D unsteady problem by separation of

variables, integral methods of analysis for transient conduction, lumped and partially lumped

capacitance methods, boundary value problems and orthogonal functions, Fourier and

Chebyshev series, solution using separation of variables, semi-infinite and infinite domains,

Duhamel's theorem, Laplace transforms, Green's functions, Solution of steady state 2D

problem – solution by variable separable method – concept of superposition and

homogeneous boundary conditions.

Numerical solution of conduction problems: Basic ideas of finite difference method –

forward, backward and central differences – Discretization for the unsteady heat equation.

Solution of the 1D unsteady heat conduction equation

Radiation: Laws of thermal radiation. Radiation properties of surfaces, Concept of view

factors, Radiation exchange in black and diffuse grey enclosures, Radiation effects in

temperature measurement, Enclosure theory for surfaces with wall temperatures that are

continuous functions of space. Spectrally diffuse enclosure surfaces. Specularly reflecting

surfaces

Radiation in participating media: The equation of radiative heat transfer in participating

media; radiative properties of molecular gases and particulate media; exact solutions of one-

dimensional grey media; Approximate solution methods for one-dimensional media

(optically thin and optically thick approximations). Concept of combined Conduction and

Radiation with examples such as spacecraft radiator, solar radiation etc.

5. (a)Time-Plan

Tentative

Lecture

Topics

5 lectures Introduction to Conduction- Recapitulation:

Steady and Transient conduction; Fins,

Lumped parameter and semi-infinite solid

approximations, Heisler and Grober charts; 3-

D conduction, isotropic, orthotropic and

anisotropic solids.

12 lectures Analytical Methods- Mathematical

formulations, analytical solutions, variation of

parameters, integral method, periodic

boundary conditions, Duhamels theorem and

Greens function etc.

6 lectures Applications to Specific Problems-

Stationary and moving heat sources and sinks.

Moving boundary problems. Inverse heat

conduction problems

6 lectures Introduction to radiation- Recapitulation:

Radiative properties of opaque surfaces,

Intensity, emissive power, radiosity, Planck’s

law, Wien’s displacement law, Black and

Gray surfaces, Emissivity, absorptivity,

Spectral and directional variations, View

factors.

3 lectures Enclosure with Transparent Medium-

Enclosure analysis for diffuse-gray surfaces

and non-diffuse, nongray surfaces, net

radiation method.

4 lectures Enclosure with Participating Medium-

Radiation in absorbing, emitting and

scattering media. Absorption, scattering and

extinction coefficients, Radiative transfer

equation

4 lectures Introduction to different radiation model-

Discrete transfer method, discrete ordinates

method, finite volume method

2 lectures Combined Heat Transfer Modes-

Combined mode heat transfer and method of

their calculation

Course Code : ME 543

Course Name : Compressible Flow

Instructor: Paragmoni Kalita

1. Abstract:

ME 543 is an elective course offered for the M. Tech. programme in Applied

Mechanics under the Department of Mechanical Engineering. The knowledge of

dynamics of high speed gas flow is very important for the design and analysis of flight

of aircrafts, missiles and space vehicles. The course covers the theory of high speed

inviscid and viscous gas flows. The areas of application of the theory of supersonic and

hypersonic flows in Engineering problems are highlighted. Extension of the knowledge

towards research in the field of computation and experiments of high speed flows is

also highlighted.

2. Objective:

The course shall be taught with the following objectives:

i. To introduce the students to the fluid dynamic and thermodynamic aspects of

high speed flows.

ii. Familiarize the students with the physics and calculations involving

discontinuous flow-fields

iii. Teach the theory and applications of inviscid supersonic flows, normal and

oblique shock waves, contact discontinuities

iv. Give exposure of hypersonic inviscid and viscous flows.

v. Orient the students towards research fields in experimental and computational

fluid dynamics

3. Prerequisites of the course:

Elementary knowledge of Fluid Mechanics and Thermodynamics is desired.

4. Course outline:

Review of Thermodynamics and Fluid Mechanics, Integral and differential forms of

conservation equations, Crocco’s theorem, Speed of Sound and Mach Number,

Isentropic relations, Normal Shock Wave, Rankine-Hugoniot Relations, Fanno and

Rayleigh Curve, Mach Waves, Oblique shock wave, Linearized solutions Prandtl-

Meyer expansion waves, Method of Characteristics, Quasi-one dimensional flows,

Unsteady Wave Motion, General characteristics of Hypersonic Flow, Hypersonic Shock

and Expansion Relations, Similarity parameters, Surface pressure distribution in

Hypersonic flow field, Hypersonic Boundary Layer, Closed and open circuit wind

tunnels, Supersonic wind tunnels, Shock tunnels, Impulse facilities, Hypersonic wind

tunnels, Shock tunnels.

Course Plan Compressible Flow (ME 523)

5. (a) Time-Plan

Topic Content Contact Hours

L T

Introduction to

Compressible

Flows

Concept of Incompressible and Compressible

Flow, Review of Thermodynamics

1 0

Reynold’s Transport Theorem (RTT),

Derivation of Conservation laws of Fluid

Mechanics from RTT

2 1

Differential conservation equations, Crocco’s

theorem

1 0

Speed of Sound and Mach Number 1 1

One-dimensional

flow

Basic equations for one dimensional flows,

Isentropic relations

1 0

Normal Shock Wave, Rankine-Hugoniot

Relations

2 1

Fanno and Rayleigh Flows 3 1

Two-dimensional

flow

Oblique shock wave, Attached and Detached

Shock Wave

2

Shock Polar, Shock interaction and reflection 1 0

Mach Waves, Prandtl-Meyer Expansion 1 1

Method of Characteristics 1 0

Linearized solutions, Linearized subsonic flow,

Linearized supersonic flow

2 1

Small perturbation theory 1 0

Quasi-one

dimensional

flows

Governing equations, Underlying assumptions 1 0

Area-velocity relations, Isentropic flow through

variable area ducts

1 0

Convergent-divergent nozzles, Over-expanded

and Under-expanded nozzles

2 1

Diffusers 1 1

Unsteady Wave

Motion

Moving normal shock waves 1 0

Incident and reflected shock and expansion

waves

1 0

Shock tube relations 1 1

Hypersonic Gas

Dynamics

General characteristics of Hypersonic Flow,

Hypersonic Shock and Expansion Relations

1 0

Similarity parameters, Mach number

independence

1 1

Methods to determine surface pressure

distribution in Hypersonic flow field

4 1

Hypersonic Boundary Layer, Flat Plate Solution,

Stagnation Point Solution

2 1

Viscous Interaction effects in Hypersonic Flows 1 0

Aero-test

facilities

Closed and open circuit wind tunnels 1 0

Supersonic wind tunnels, Shock tunnels 1 0

Impulse facilities, Hypersonic wind tunnels 1 0

Total contact hours 52 (39 L + 12 T)

Course Plan Compressible Flow (ME 523)

Text Books:

1. J. D. Anderson, Jr., “Modern Compressible Flow with Historical Perspective”, Second

Edition, McGraw-Hill Publishing Company

2. J. D. Anderson, Jr., “Hypersonic and High Temperature Gas Dynamics”, McGraw-Hill

Publishing Company (1990)

Reference Books:

1. A. Shapiro, “The Dynamics and Thermodynamics of Compressible Flow”, Ronald Press,

London (1950)

2. Low Speed Wind Tunnel Testing- J. B. Barlow, W. H. Rae and A. Pope, Third Edition,

John Wiley and Sons, New York

3. High Speed Wind Tunnel Testing- A. Pope and L. G. Kennith, John Wiley and Sons,

New York (1965)

4. Experimental Methods of Hypersonics- J. Lukasiewicz, Mercel Dekker Inc., New York

(1973)

5. (b) Evaluation Plan:

Test No. Marks Duration

(minutes)

I 25 30

II

(Term paper/ Group task/ Field work/ Mini project)

25 --

III (Major I) 40 60

IV (Assignment type) 25 -

V 25 30

Major II 60 120

Total Marks 200

All the tests will be held as per the schedule notified by the Controller of Examinations,

Tezpur

University

6. Pedagogy:

Teaching-learning methods to be used:

Lecture and Discussion

Presentations

Assignments

Class Tests/Quiz

7. Expected outcome: Towards the end of the course the student would be able to

i. Use the governing equations for one-dimensional compressible flow to find the

density, pressure and velocity profiles along the flow.

ii. Calculate the property changes across normal and oblique shock waves

iii. Carry out calculations related to one-dimensional adiabatic flow with friction

and one-dimensional frictionless flow with heat transfer.

iv. Explain the background physics of the phenomena related to high-speed flows.

v. Analyze quasi one-dimensional flow through a converging-diverging nozzle.

vi. Analyze hypersonic flow involving shock-shock as well as shock-wave boundary

layer interactions.

Course Code: ME 562

Course Name: Experimental Methods in Thermal and Fluid Engineering

Instructor: Dr. P. P. Dutta ------------------------------------------------------------------------------------------------------

1. Abstract: Laboratory work has become more important and sophisticated in modern

engineering curriculum. Conventional laboratory experiments have been replaced by

experiments with electronic instrumentation and computer based data acquisition

system. Statistical methods are used to evaluate the experimental data quality. The

course consists of designing and conducting laboratory experiments, including analysis

and interpretation of data. The course will start with examples of simulation and

corresponding experimentations. Various statistical parameters will be evaluated for the

simulated and experimental data. Various signal processing techniques will be used for

the analysis of data and uncertainty analysis of results.

2. Objective: To be able to design and conduct experiments on thermal and fluid

engineering.

3. Prerequisites of the course: None

4. Course outline + suggested reading:

Theory and experimentation in engineering - problem solving approaches, types of

engineering experiments, computer simulation and physical experimentation;

Generalized measuring system, types of inputs, analog and digital signals,

standards, calibration and uncertainty, measurement system - performance

characteristics;

Analysis of experimental data, error analysis, uncertainty analysis, data reduction

techniques, statistical analysis of data, probability distributions and curve fitting;

Thermometry - heat flux measurement – thermos-physical properties -

Measurement of derived quantities - torque, power, radiation and surface

properties.

Measurement of pressure, flow velocity measurement, wind tunnels and flow

visualization, measurement of temperature, optical methods of measurements, hot

wire anemometry, hot film anemometry, laser Doppler anemometer,

instrumentation in two-phase flows, particle image velocimetry technique.

Textbooks:

Holman, J. Experimental Methods for Engineers (McGraw-Hill, 2000)

Rathakrishnan, E. Instrumentation, Measurements and Experiments in Fluids, Taylor & Francis, New Delhi, 2007 Reference:

Goldstein, R.J. Fluid Mechanics Measurements (Taylor & Francis, 1996).

Reddy T. A. Applied Data Analysis and Modelling for Energy Engineers and Scientists, Springer, London, 2011 5. (a) Time-Plan:

Theory Classes

Topic No. of theory classes

Theory and experimentation in engineering 3

Generalized measuring system 4

Statistical Analysis: Analysis of experimental data / uncertainty

analysis

10

Signal Processing 6

Measurement of thermometry - heat flux measurement -

Measurement of derived quantities - torque, power, thermosphysical

properties - radiation and surface properties

7

Pressure measurements, flow measurement, wind tunnels and flow

visualization, measurement of temperature, optical methods of

measurements, hot wire anemometry, hot film anemometry, laser

Doppler anemometer, instrumentation in two-phase flows, particle

image velocimetry technique.

10

Practical classes

Simulation and Experimentation: 25 classes

5. (b) Evaluation plan: Evaluation would be based upon the following:

Component Marks

Test I 25

Test II 25

Test III (Major I) 40

Test IV (Assignment) 25

Test V 25

Test VI (Major II) 60

Mid-term laboratory viva 20

End term laboratory viva 30

Total 250

6. Pedagogy: Detailed electronics based experimentation will be explained. Various

statistical parameters will be evaluated for the simulated data as well as experimental

data. Theory of various signal processing techniques will be explained. Matlab /

LabVIEW signal processing toolbox will be used for implementing the signal

processing techniques.

7. Expected outcome: After completing the course the student will be able to

Understand modern engineering experimentation, including experiment design,

calibration, data acquisition, analysis, and interpretation.

Conduct experiments using real-world transducers / data acquisition system with

specifications on resolution and accuracy.

Analyse the data using signal processing technique and uncertainty analysis.

Course Code : ME 535

Course Name : Advanced Engineering Thermodynamics

Instructor: Paragmoni Kalita

Dr. Partha Pratim Dutta

1. Abstract:

ME 535 is a core course offered for the M. Tech. programme in Mechanical

Engineering (Specialization: Thermo-Fluids Engineering) under the Department of

Mechanical Engineering. The course covers advanced topics in Thermodynamics

including Maxwell relations, Irreversibility, Availability, Exergy Analysis, multicomponent

and multi-phase systems, chemical thermodynamics, kinetic theory of gases

and statistical thermodynamics. Knowledge in these fields are essential for the design

and analysis of efficient thermodynamic systems.

2. Objectives:

The course shall be taught with the following objectives:

i. To provide a quick review of the first and second laws of thermodynamics.

ii. To offer knowledge of the thermodynamic property relations

iii. To deliver the knowledge of availability, irreversibility and exergy analysis

iv. To give exposure to multi-component and multi-phase systems

v. To impart the knowledge of the kinetic theory of gases

vi. To offer an overview of statistical thermodynamics

3. Prerequisites of the course:

Elementary knowledge of Thermodynamics is desired.

4. Course outline:

Review of first and second laws of thermodynamics, Maxwell equations, Joule-

Thompson experiment, irreversibility and availability, exergy analysis, phase transition,

types of equilibrium and stability, multi-component and multi-phase systems, equations

of state, chemical thermodynamics, combustion. Third law of thermodynamics

Kinetic theory of gases- introduction, basic assumption, molecular flux, equation of

state for an ideal gas, collisions with a moving wall, principle of equipartition of energy,

classical theory of specific heat capacity.

Transport phenomena-intermolecular forces, The Van der Waals equation of state,

collision cross section, mean free path

Statistical thermodynamics- introduction, energy states and energy levels, macro and

microscales, thermodynamic probability, B-E, F-D, M-D statistics, distribution

function, partition energy, statistical interpretation of entropy, application of statistics to

gases-mono-atomic ideal gas, distribution of molecular velocity, ideal gas in a

gravitational field.

Course Plan Advanced Engineering Thermodynamics (ME 535)

Page 2 of 3

5. (a) Time-Plan

Topic Content

Contact

Hours

Review of first

and second laws

of

thermodynamics

First law of thermodynamics for a closed system 1

First law of thermodynamics for an open system 1

The second law of thermodynamics and its corollaries 1

The second law analysis of a control volume 1

Availability and

Irreversibility

Availability of closed and open systems 1

Concept of irreversibility 1

Exergy Analysis of Thermodynamic Systems 2

Thermodynamic

Property

Relations

Maxwell Equations and their applications 2

Joule-Thompson experiment 1

The Jacobian Method and its application for deriving

the entropy relations

2

Equilibrium and

Stability

Types of equilibrium and stability 1

Single and multi-component systems 1

The postulates on entropy 1

Criteria for thermodynamic equilibrium 1

Equations of state and Euler relation 1

Gibbs-Duhem Relation 1

Partial Legendre Transformations 2

The energy-minimum principle 1

Kinetic theory of

gases

Introduction and basic assumptions 1

Molecular flux and equation of state for an ideal gas 1

Collisions with a moving wall 1

Principle of equipartition of energy 1

Classical theory of specific heat capacity 1

Transport phenomena-intermolecular forces 1

The Van der Waals equation of state 1

Collision cross section, mean free path 1

Statistical

Thermodynamics

Introduction, energy states and energy levels 2

Macro and microscales 1

Thermodynamic probability 1

B-E, F-D, M-D statistics 3

Distribution function, partition energy, statistical

interpretation of entropy

1

Application of statistics to gases-mono-atomic ideal

gas

1

Distribution of molecular velocity, ideal gas in a

gravitational field

1

Total contact hours 40

Textbooks

1. Sears, F.W. and Salinger, G.L. Thermodynamics, Kinetic Theory And Statistical

Thermodynamics (Narosa Publishing House, New Delhi, 3/e, (1995)

2. Wylen and Sontag, Fundamentals of Classical Thermodynamics (Wiley Eastern

Limited, New Delhi, 1985)

References

1. Moran, M.J. and Shapiro, H.N.. Fundamentals Of Engineering Thermodynamics (John

Wiley and Sons, 6/e, 2008)

2. Zemansky, Engineering Thermodynamics (Mc Graw Hill, 2/e)

3. Bejan, Advanced Engineering Thermodynamics (John Wiley and sons, 2006)

Course Plan Advanced Engineering Thermodynamics (ME 535)

Page 3 of 3

5. (b) Evaluation Plan:

Test No. Marks Duration (minutes)

Test I (Objective

type)

25 30

Test II 25 -

Test III (Midsemester)

40 60

Test IV

(Assignment type)

25 -

Test V 25 30

End Term 60 120

Total Marks 200

All the tests will be held as per the schedule notified by the Controller of Examinations,

Tezpur

University

6. Pedagogy:

Teaching-learning methods to be used:

Lecture and Discussion

Presentations

Assignments

Class Tests/Quiz

7. Expected outcome: Towards the end of the course the student would be able to

i. Apply the Maxwell equations to derive the different thermodynamic property

relations

ii. Apply the thermodynamic property relations for the physical explanation of the

different thermodynamic phenomena

iii. Carry out exergy analysis of thermodynamic systems like steam and gas turbine

power plants, vapour compression and vapour absorption refrigeration systems.

iv. Carry out the thermodynamic stability analysis of multi-component and multiphase

systems

v. Do mathematical modeling and design of new thermodynamic systems