Review of Tensor Equations, Stochastic Processes, Probability & Averaging; Reynolds averaging, Reynolds Stresses, RANS equations, Turbulent Viscosity Hypothesis; Free-Shear Flows – Round Jet, Similarity, Turbulent kinetic energy and kinetic energy of mean flow - convection, production and dissipation of turbulence, re-distribution, turbulent diffusion; Other Self-Similar Flows – Homogenous Shear, Wind Tunnel Turbulence, Mixing Layer; Statistical Description of Turbulence - stationary and non-stationary turbulence, homogeneous and non-homogeneous turbulence, nonlinearity, two-point correlations, structure functions, turbulence scales, energy cascade, vortex stretching, velocity spectra & energy spectrum; Wall bounded flows – Channel flow, Boundary Layer, Near wall velocity & turbulence quantities profile , Equations for Reynolds stresses & TKE balance; Introduction to Turbulence Modeling – Mixing Length Model & k-ε model. |
Text/Reference Books:
- Pope S.B., Turbulent Flows, Cambridge University Press.
- Mathieu J., and Scott J., An Introduction to Turbulent Flow, Cambridge University Press.
- Davidson P.A., Turbulence: An Introduction for Scientists and Engineers, Oxford.
- Tennekes H., and Lumley J.L., A First Course in Turbulence, MIT Press.
- Hinze J.O., Turbulence, McGraw-Hill.
- Batchelor G.K., Theory of Homogenous Turbulence, Cambridge University Press.
- Frish U., A Legacy of A. N. Kolmogorov Turbulence, Cambridge University Press.
- Schlichting H., and Gersten K., Boundary Layer Theory, Springer.
- Monin A.S., and Yaglom A.M., Statistical Fluid Mechanics (Vol I & Vol II), Dover.
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