NPTEL Syllabus

Advanced Fluid Mechanics -Video course

COURSE OUTLINE "Fluid Mechanics" is a vast area and touches many aspects inour day today lives. At the academic level, only fraction of thiscourse is covered. In undergraduate level of the courses,students get familiar with fundamental aspects, governingequations of fluid flow and their application to simple flowproblems.Extending the depth of knowledge further, the course"Advanced Fluid Mechanics" has been designed and framedboth in the form of "Web/Video" to express the concepts in awell-defined and vivid manner.The topics have been chosen from the broad areas of "FluidMechanics" emphasizing mathematical formulation of variousflow problems. Attempt has been made to include advancedtheories so that students can expertise and pursue research inthe relevant areas.In addition, this course also includes the fundamental conceptsof "Computational Fluid Mechanics" that will help in undertakingthe projects at undergraduate/post graduate level. Theadvanced course material on this subject matter will be veryuseful to undergraduate/post-graduate/research students,teachers and practitioners.Contents: Basic Concepts and Fundamentals, GoverningEquations of Fluid Motion, Exact Solutions of Navier-StokesEquation, Potential Flows, Laminar Boundary Layers, Elementof Stability Theory, Turbulent Flows, Compressible Flows,Introduction to CFD. COURSE DETAIL

Module Topic Hours

1. BasicConcepts andFundamentals

Definition and properties of Fluids,Fluid as continuum, Langragianand Eulerian description, Velocityand stress field, Fluid statics, Fluid

2

NPTELhttp://nptel.iitm.ac.in

MechanicalEngineering

Pre-requisites:

"Basic Fluid Mechanics"course at undergraduate level.

Coordinators:Dr. Ganesh NatarajanMechanical EngineeringIITGuwahatiDr. K. Arul PrakashDepartment of AppliedMechanicsIIT MadrasDr. N. SahooDepartment of MechanicalEngineeringIIT Guwahati

Kinematics.

2. GoverningEquations ofFluid Motion

Reynolds transport theorem,Integral and differential forms ofgoverning equations: mass,momentum and energyconservation equations, Navier-Stokes equations, Eulersequation, Bernoullis Equation.

4

3. Exactsolutions ofNavier-StokesEquations

Couette flows, Poiseuille flows,Fully developed flows in non-circular cross-sections, Unsteadyflows, Creeping flows.

4

4. PotentialFlows

Revisit of fluid kinematics, Streamand Velocity potential function,Circulation, Irrotational vortex, Basicplane potential flows: Uniformstream; Source and Sink; Vortexflow, Doublet, Superposition ofbasic plane potential flows, Flowpast a circular cylinder, Magnuseffect; Kutta-Joukowski lift theorem;Concept of lift and drag.

5

5. LaminarBoundaryLayers

Boundary layer equations,Boundary layer thickness,Boundary layer on a flat plate,similarity solutions, Integral form ofboundary layer equations,Approximate Methods, Flowseparation, Entry flow into a duct.

5

6. Elements ofStability Theory

Concept of small-disturbancestability, Orr-Sommerfeld equation,Inviscid stability theory, Boundarylayer stability, Thermal instability,Transition to turbulence.

4

7. TurbulentFlow

Introduction, Fluctuations and time-averaging, General equations ofturbulent flow, Turbulent boundarylayer equation, Flat plate turbulentboundary layer, Turbulent pipe flow,Prandtl mixing hypothesis,Turbulence modeling, Freeturbulent flows.

5

8.CompressibleFlows

Speed of sound and Machnumber, Basic equations for onedimensional flows, Isentropicrelations, Normal-shock wave,Rankine-Hugoniot relations, Fannoand Rayleigh curve, Mach waves,Oblique shock wave, Prandtl-Meyer expansion waves, Quasi-one dimensional flows,Compressible viscous flows,Compressible boundary layers.

7

9. IntroductiontoComputationalFluid Dynamics(CFD)

Boundary conditions, Basicdiscretization Finite differencemethod, Finite volume method andFinite element method.

4

References:

1. Batchelor G.K, An Introduction to Fluid Dynamics,Cambridge University Press, 1983.

2. Fox W. Robert, McDonald T. Alan, Introduction to FluidMechanics, Fourth Edition, John Wiley & Sons, 1995.

3. Frank M. White, Fluid Mechanics, Tata McGraw-Hill,Singapore, Sixth Edition, 2008.

4. Frank M. White, Viscous Fluid Flow, Third Edition,McGraw-Hill Series of Mechanical Engineering, 2006.

5. John D. Anderson Jr, Modern Compressible Flow withHistorical Perspective, McGraw-Hill, 1990.

6. John D. Anderson Jr., Fundamentals of Aerodynamics,McGrawHill, 2005.

7. John D. Anderson Jr., Computational Fluid Dynamics: TheBasics with Applications, McGraw-Hill Series ofMechanical Engineering, 1995.

8. Milton Van Dyke, An Album of Fluid Motion, The Parabolicpress, Stanford University, 1982

9. Muralidhar K. and Biswas G., Advanced Engineering FluidMechanics, Second Edition, Narosa, 2005.

10. Panton R.L., Incompressible Flow, John Wiley and Sons,2005.

11. Pijush K. Kundu and Ira M. Cohen, Fluid Mechanics,Fourth Edition, Academic Press (ELSEVIER), 2008.

12. Schlichting H., Boundary Layer Theory, Springer Verlag,2000.

13. Tennekes H. and Lumley J.L., A First Course inTurbulence, The MIT press, 1972.

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