COURSE SUMMARY
Course Title: 
Turbulent Flows
Course Code: 
15AES440
Year Taught: 
2015
2016
2017
2018
Degree: 
Undergraduate (UG)
School: 
School of Engineering
Campus: 
Coimbatore

'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.