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CE3301 Fluid Mechanics Study Materials

Anna University – CE3301 Fluid Mechanics Regulation 2021 Syllabus , Notes , Important Questions, Question Paper with Answers Previous Year Question Paper.

UNIT I FLUIDS PROPERTIES AND FLUID STATICS CE3301 Fluid Mechanics Syllabus

Scope of fluid mechanics – Definitions of a fluid – Methods of analysis – Continuum hypothesis – System and Control volume approach – Reynold’s transportation theorem – Fluid properties – Fluid statics – Manometry – Forces on plane and curved surfaces – Buoyancy and floatation – Stability of floating bodies.

UNIT II BASIC CONCEPTS OF FLUID FLOW CE3301 Fluid Mechanics Notes

Kinematics: Classification of flows – Streamline, streak-line and path-lines – Stream function and velocity potentials – Flownets; Dynamics : Application of control volume to continuity, energy and momentum – Euler’s equation of motion along a stream line – Bernoulli’s equation – Applications to velocity and discharge measurements – Linear momentum equation – Application to Pipe bends – Moment of momentum equation.

UNIT III DIMENSIONAL ANALYSIS AND MODEL STUDIES CE3301 Fluid Mechanics Important Questions

Fundamental dimensions – Dimensional homogeneity – Rayleigh’s method and Buckingham Pi theorem – Dimensionless parameters – Similitude and model studies – Distorted and undistorted models.

UNIT IV INCOMPRESSIBLE VISCOUS FLOW CE3301 Fluid Mechanics Question Bank

Reynolds experiment – Laminar flow in pipes and between parallel plates – Development of laminar and turbulent flows in pipes – Darcy-Weisbach equation – Moody diagram – Major and minor losses of flow in pipes – Total energy line – Hydraulic grade line – Siphon – Pipes in series and parallel – Equivalent pipes.

UNIT V BOUNDARY LAYERS CE3301 Fluid Mechanics Question Paper

Definition of boundary layers – Laminar and turbulent boundary layers – Displacement, momentum and energy thickness – Momentum integral equation – Applications – Separation of boundary layer – Drag and Lift forces.

TEXTBOOKS: CE3301 Fluid Mechanics Study materials

1. Modi P.N and Seth Hydraulics and Fluid Mechanics including Hydraulic Machines Standard
Book House New Delhi. 2015.
2. Streeter, V.L. Wylie, E. B. and Bedford K.W, Fluid Mechanics. (9th Ed.) Tata McGraw Hill,
New Delhi, 1998.

REFERENCES:

1. S K Som; Gautam Biswas and S Chakraborty, Introduction to Fluid Mechanics and Fluid
Machines, Tata McGraw Hill Education Pvt. Ltd., 2012.
2. Pani B S, Fluid Mechanics: A Concise Introduction, Prentice Hall of India Private Ltd, 2016.
3. Jain A. K. Fluid Mechanics including Hydraulic Machines, Khanna Publishers, New Delhi,
2014.
4. Narayana Pillai N. Principles of Fluid Mechanics and Fluid Machines, (3rd Ed.) University
Press (India) Pvt. Ltd. 2009.

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ME3351 Engineering Mechanics Study Materials

Anna University – ME3351 Engineering Mechanics Regulation 2021 Syllabus , Notes , Important Questions, Question Paper with Answers Previous Year Question Paper.

UNIT I STATICS OF PARTICLES ME3351 Engineering Mechanics Syllabus

Fundamental Concepts and Principles, Systems of Units, Method of Problem Solutions, Statics of Particles -Forces in a Plane, Resultant of Forces, Resolution of a Force into Components, Rectangular Components of a Force, Unit Vectors. Equilibrium of a Particle- Newton’s First Law of Motion, Space and Free-Body Diagrams, Forces in Space, Equilibrium of a Particle in Space.

UNIT II EQUILIBRIUM OF RIGID BODIES ME3351 Engineering Mechanics Notes

Principle of Transmissibility, Equivalent Forces, Vector Product of Two Vectors, Moment of a Force about a Point, Varignon’s Theorem, Rectangular Components of the Moment of a Force, Scalar Product of Two Vectors, Mixed Triple Product of Three Vectors, Moment of a Force about an Axis, Couple – Moment of a Couple, Equivalent Couples, Addition of Couples, Resolution of a Given Force into a Force -Couple system, Further Reduction of a System of Forces, Equilibrium in Two and Three Dimensions – Reactions at Supports and Connections.

UNIT III DISTRIBUTED FORCES ME3351 Engineering Mechanics Important Questions

Centroids of lines and areas – symmetrical and unsymmetrical shapes, Determination of Centroids by Integration , Theorems of Pappus-Guldinus, Distributed Loads on Beams, Centre of Gravity of a Three-Dimensional Body, Centroid of a Volume, Composite Bodies , Determination of Centroids of Volumes by Integration. Moments of Inertia of Areas and Mass – Determination of the Moment of Inertia of an Area by Integration, Polar Moment of Inertia , Radius of Gyration of an Area , Parallel-Axis Theorem , Moments of Inertia of Composite Areas, Moments of Inertia of a Mass – Moments of Inertia of Thin Plates , Determination of the Moment of Inertia of a Three-Dimensional Body by Integration.

UNIT IV FRICTION ME3351 Engineering Mechanics Question Papers

The Laws of Dry Friction, Coefficients of Friction, Angles of Friction, Wedge friction, Wheel Friction, Rolling Resistance, Ladder friction.

UNIT V DYNAMICS OF PARTICLES ME3351 Engineering Mechanics Question Banks

Kinematics – Rectilinear Motion and Curvilinear Motion of Particles. Kinetics- Newton’s Second Law of Motion -Equations of Motions, Dynamic Equilibrium, Energy and Momentum Methods -Work of a Force, Kinetic Energy of a Particle, Principle of Work and Energy, Principle of Impulse and Momentum, Impact of bodies.

TEXTBOOKS: ME3351 Engineering Mechanics Questions and Answers

1. Beer Ferdinand P, Russel Johnston Jr., David F Mazurek, Philip J Cornwell,
SanjeevSanghi, Vector Mechanics for Engineers: Statics and Dynamics, McGraw Higher
Education., 11thEdition, 2017.
2. Vela Murali, “Engineering Mechanics-Statics and Dynamics”, Oxford University Press,
2018.

References:

1. Boresi P and Schmidt J, Engineering Mechanics: Statics and Dynamics, 1/e, Cengage
learning, 2008.
2. Hibbeller, R.C., Engineering Mechanics: Statics, and Engineering Mechanics: Dynamics,
13th edition, Prentice Hall, 2013.
3. Irving H. Shames, Krishna Mohana Rao G, Engineering Mechanics – Statics and Dynamics,
4thEdition, Pearson Education Asia Pvt. Ltd., 2005.
4. Meriam J L and Kraige L G, Engineering Mechanics: Statics and Engineering Mechanics:
Dynamics, 7th edition, Wiley student edition, 2013.
5. Timoshenko S, Young D H, Rao J V and SukumarPati, Engineering Mechanics, 5thEdition,
McGraw Hill Higher Education, 2013.

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MA3351 Transforms and Partial Differential Equations

Anna University – MA3351 Transforms and Partial Differential Equations Regulation 2021 Syllabus , Notes , Important Questions, Question Paper with Answers Previous Year Question Paper.

UNIT I PARTIAL DIFFERENTIAL EQUATIONS MA3351 Transforms and Partial Differential Equations Syllabus

Formation of partial differential equations –Solutions of standard types of first order partial differential equations – First order partial differential equations reducible to standard types- 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 MA3351 Transforms and Partial Differential Equations Notes

Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series and cosine series – Root mean square value – Parseval’s identity – Harmonic analysis.

UNIT III APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS MA3351 Transforms and Partial Differential Equations Important Questions

Classification of PDE – Method of separation of variables – Fourier series solutions of one dimensional wave equation – One dimensional equation of heat conduction – Steady state solution of two dimensional equation of heat conduction (Cartesian coordinates only).

UNIT IV FOURIER TRANSFORMS MA3351 Transforms and Partial Differential Equations Question Paper

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 MA3351 Transforms and Partial Differential Equations Question Bank

Z-transforms – Elementary properties – Convergence of Z-transforms – – Initial and final value theorems – Inverse Z-transform using partial fraction and convolution theorem – Formation of difference equations – Solution of difference equations using Z – transforms.

TEXT BOOKS For MA3351 Transforms and Partial Differential Equations PDF

1. Grewal B.S.,“Higher Engineering Mathematics” 44thEdition, Khanna Publishers,New Delhi, 2018.
2. Kreyszig E, “Advanced Engineering Mathematics “, 10th Edition, John Wiley, New Delhi, India,
2016.

REFERENCES:

1. Andrews. L.C and Shivamoggi. B, “Integral Transforms for Engineers” SPIE Press, 1999.
2. Bali. N.P and Manish Goyal, “A Textbook of Engineering Mathematics”, 10th Edition, Laxmi
Publications Pvt. Ltd, 2015.
3. James. G., “Advanced Modern Engineering Mathematics”, 4thEdition, Pearson Education, New
Delhi, 2016.
4. Narayanan. S., Manicavachagom Pillay.T.K and Ramanaiah.G “Advanced Mathematics for
Engineering Students”, Vol. II & III, S.Viswanathan Publishers Pvt. Ltd, Chennai, 1998.
5. Ramana. B.V., “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd,
New Delhi, 2018.
6. Wylie. R.C. and Barrett . L.C., “Advanced Engineering Mathematics “Tata McGraw Hill Education
Pvt. Ltd, 6th Edition, New Delhi, 2012.

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