Course Details
Subject {L-T-P / C} : ME6541 : Turbulence Modeling { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Dr. Kishore Singh Patel
Syllabus
Introduction: - Basic features of turbulent flow – Irregularity, diffusivity, high Reynolds number, rotational, dissipative, continuum phenomenon.
Characterization of turbulent flows: - Statistical averages, moments, probability density function, correlation, energy spectrum, Homogeneous and Isotropic turbulence.
Scales in turbulent flows: - Richerdson’s energy cascade hypothesis, Scales – Integral, Kolmogorov and Taylor micro scales, Kolmogorov’s local isotropy hypothesis, I and II similarity hypothesis, universality in small scale fluctuations, -5/3 law, spectral dissipations.
Equations governing turbulent flow: - Reynolds decompositions, Raynolds Averaged Navier-Stokes (RANS) equations, Equations for Reynolds stresses, mean and turbulent kinetic energy (TKE) governing equations, Energy transfer in turbulent flows, Closure problem, Reynolds averaged and mass-weighted equations for compressible flows.
Simulation approaches and turbulence modeling: - Outline of approaches to prediction of turbulent flows – LES, DNS, and RANS Desirable futures of a model of turbulence Zero -, one - and two-equation models of turbulence Reynolds stress model Algebraic stress model Limitations of RANS approach.
Course Objectives
- To know the overview of turbulence in fluid flow, e.g., the nature, cause, origin, and sustainability of turbulence.
- To understand the methods of characterizations of turbulent flows.
- To understand the techniques of computations and modeling of turbulent flows.
Course Outcomes
After the completion of the course, the students will be able, <br />CO1: To understand the origin, basic features, and stainability of turbulent flow. <br />CO2: To know the tools and methods of turbulent flow characterizations. <br />CO3: To understand the inherent features of eddies, associated scales, and universality in turbulent flows. <br />CO4: To derive the basic governing equations in turbulent flows. <br />CO5: To know the different simulation approaches and modeling of turbulent flows.
Essential Reading
- P. A. Davidson, Turbulence: An Introduction for Scientists and Engineers, Oxford University Press , 2015.
- P. A. Durbin, B. A. Pettersson Reif, Statistical Theory and Modeling for Turbulent Flows, John Wiley & Sons
Supplementary Reading
- A. S. Monin and A. M. Yaglom, Statistical fluid mechanics, volume II: mechanics of turbulence, Courier Corporation , Vol2, 2013.
- H. Tennekes, and J. L. Lumley, A first course in turbulence, MIT Press , 1972.