'Turbulent Flows' is a course offered in the B. Tech. in Aerospace Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham.
Unit 1
Onset of Turbulence: Laminar Flow, Transition, Turbulent Flow – Laminar - Turbulent Transition: Taylor’s Rotating Cylinder Experiment, Benard’s Natural Convection Experiment, Reynolds Experiment, Reynolds Number Concept Based on Volume Flux and Pressure Gradient – Stability Theory of Laminar Flows: Method of Small Disturbances, Orr-Sommerfeld Equation, Modes of Stability, Curve of Neutral Stability, Indifference Reynolds Number, Absolute and Convective Instabilities.
Unit 2
Inviscid Instability: Rayleigh Equation, Point of Inflection Criteria, Critical Layer – Fundamentals of Turbulent Flow: Mean Motion, Fluctuations, Quasi-steady Approach, Apparent Viscosity, Reynolds Stresses (Momentum Theorem & Navier-Stokes Equations), Classical Empirical Results on Turbulence, Wind-tunnel Turbulence.
Unit 3
Semi-empirical Hypothesis: Eddy Viscosity, Prandtl Mixing Length – Isotropic Turbulence: Kolmogorov Hypothesis, Kolmogorov Length and Time Scales - Free Turbulent Flows: Jet Boundary, Free Jet, Wake.
- Herrmann Schlichting, Klaus Gersten, “Boundary Layer Theory,” 8th edition, Springer-Verlag, 2000
- Pijush K. Kundu, Ira M. Cohen, David R. Dowling, “Fluid Mechanics,” 5th edition, Academic Press, 2012.
- Davidson, P. A., “Turbulence: An Introduction for Scientists and Engineers,” Oxford University Press, 2004.
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