Course

Module-1

Origin, examples and character of turbulence, Reynolds stress, energy relations, closure problem, phenomenology, eddy viscosity. Statistics, Spectra, space-time correlations, macro &micro scales, statistical theory of turbulence, locally isotropic turbulence, Kolmogorov’s hypothesis, correlation method, spectral method, turbulence diffusion.

Module-2

Numerical Turbulence modelling: Reynolds averaging technique, Reynolds stress, RANS model, one-, two- and multiple equations for turbulence modelling, Spalart-Allmaras model, kepsilon models, k-omega models, SST k-omega models and RSM. Introduction to Large eddy simulation (LES) and Direct Numerical Simulation (DNS) method. Implementation and verification of the different turbulent models in real-life turbulent flow problems using CFD software.

Module-3

Experimental techniques: Hot Wire Anemometer, Laser Doppler Anemometer, Flow visualization techniques, laminar-turbulent transition. Relaminarization.

• CO1: To understand the concept and origin of turbulence and the fundamental characteristics of turbulent flows
• CO2: The study the concept of closure problem, energy spectra, eddy viscosity, Reynolds stress etc.
• CO3: To understand the concept of statistical turbulence, Kolmogorov’s hypothesis, space-time correlation methods, spectral methods etc.
• CO4: To understand concept time, space and ensemble averaging, Numerical Turbulence modelling, one-, two- and multiple equations for turbulence modelling, RSM, LES and DNS methods
• CO5: To study experimental measurement of turbulence such as hot wire anemometer, laser Doppler anemometer etc.

• Tennekes and Lumley J.L., A first course in Turbulence, MIT Press,USA,1972.
• B. Pope, Turbulent Flows, Cambridge University Press,UK,2000.
• Davidson P. A., Turbulence : An introduction for Scientists and Engineers, Oxford University Press Inc, New York,2004.
• Batchelor G. K., The Theory of homogeneous turbulence, Cambridge University Press, UK,1993.
• Schlichting, H., and Gersten, K., 2000, Boundary Layer Theory, Springer.
• Wilcox, D. C.,2010,Turbulence Modelling for CFD, DCW Industries, California, USA.