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Course Detail

Course Name Turbulent Flows
Course Code 15AES440
Program B. Tech. in Aerospace Engineering
Year Taught 2019


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.

Text Books

  • 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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