· Assignments: 20%

· Final Exam: 50%

· Individual Project or Studying: 15%

· Term Paper: 15%

Turbulence and Turbulent Flows

ME2116

Course Outline

1. Review of Fundamental Laws and Governing Equations

    The Navier-Stokes Equation, Relating Pressure to Velocity, Vorticity Dynamics, Rates of Strain and Rotation, A Definition of Turbulence

2. The Nature of Turbulent Motion and Concepts in Turbulence

    The nature of Turbulent flows, The Nature of Chaos, Some Elementary Properties of Freely Evolving Turbulence, Turbulent Flows, Control

     Parameters, Nonlinearity of the Navier-Stokes Equations, Mean Motion and Fluctuations, Basic Equations for the Mean Motion of

     Turbulent Flows

3. Turbulent Boundary Layers and Wall-Bounded Turbulent Flows

Channel and Pipe Flow, Boundary Layer Flow, Friction Velocity, Viscous Sub-Layer, The Logarithmic Region, The Buffer Layer, Free Edges, Boundary Layer Equations

4. Free Shear Turbulent Flows: Jets and Wakes

Natural Development of a Free Turbulent Round Jet, Self-similarity for a Round Jet, Similarity for a Plane Jet, Similarity for a Plane Wake, Similarity for a Far Axisymmetric Wake

5. Introduction to Turbulence Models

    An overview of Approaches, Criteria for Appraising Models, Mixing Length Models, The Spalart and Allmaras One Equation Turbulence Model,

    The k –ε  Two Equations Turbulence Model, The k –ω Two Equations Turbulence Model, Reynolds-stress and Related Models

6. Direct and Large Eddy Simulation of Turbulent Flows

Direct Numerical Simulation, Large Eddy Simulation, Spatial Filtering, Filtered Navier-Stokes Equations, Modeling of Subgrid Scales in

LES, Closure with a Turbulent Viscosity Model, LES Based on an Explicit Relaxation Filtering, Favre Filtering

 

 

· Stephen B. Pope, “Turbulent Flows”, Cambridge University Press, 2012.

· Christophe Bailly, Geneviθve Comte-Bellot., “Turbulence”, Springer International Publishing Switzerland, 2015.

· Jean Mathieu, Julian Scott, “An Introduction to Turbulent Flow”, Cambridge University Press, 2012.

· W. Rodi, N. Fueyo, “Engineering Turbulence Modeling and Experiments”, Elsevier Science Ltd., 2002.

· D.J. Tritton, “Physical Fluid Dynamics”, Oxford University Press Inc., 1988.

· A.A. Townsend, F.R.S., “The Structure of Turbulent Shear Flow”, Cambridge University Press, 1999.

· G.N. Abramovich, “The Theory of Turbulent Jets”, The MIT Press, Cambridge, Massachusetts, 1963.

· P .A. Davidson, “Turbulence,­ An Introduction for Scientists and Engineers”, The Oxford University Press, 2004.

· Hermann Schlichting, Klaus Gersten, “Boundary-Layer Theory”, 9th Edition, Springer-Verlag Berlin Heidelberg, 2017.

· Van Dyke M., “An Album of Fluid Motion”, Stanford, Parabolic Press, 1982.

References

Grading

Text Box: © Mohammad Kazem Moayyedi, Department of Mechanical Engineering, University of Qom, 2018

Phone: +98-25-3210-3532

Fax: +98-21-000000

E-mail: mk.moayyedi [at] qom.ac.ir

 

 

 

 

 

 

 

· HW No.1

· HW No.2

· HW No.3

· HW No.4

Text Box: Useful Links

Homeworks