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10 Modules / ~100 pages
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~25 Modules / ~400 pages
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Turbulence Modeling in Fluid Flow
( 25 Modules )

Module #1
Introduction to Turbulence
Overview of turbulence, its importance, and challenges in fluid flow
Module #2
Characteristics of Turbulent Flows
Discussion of turbulent flow characteristics, Reynolds number, and laminar-turbulent transition
Module #3
Governing Equations for Turbulent Flows
Navier-Stokes equations for turbulence, Reynolds decomposition, and averaging
Module #4
Turbulence Scales and Turbulent Kinetic Energy
Introduction to turbulence scales, turbulent kinetic energy, and dissipation rate
Module #5
Closure Problem in Turbulence Modeling
Discussion of the closure problem, its significance, and approaches to solve it
Module #6
Eddy Viscosity Models
Introduction to eddy viscosity models, including Boussinesq hypothesis and mixing length theory
Module #7
One-Equation Turbulence Models
Introduction to one-equation models, including k-model and its variants
Module #8
Two-Equation Turbulence Models
Introduction to two-equation models, including k-ε and k-ω models
Module #9
Reynolds-Stress Models (RSMs)
Introduction to RSMs, including their formulation and application
Module #10
Large Eddy Simulation (LES) Fundamentals
Introduction to LES, filter functions, and modeling of subgrid scales
Module #11
LES Modeling Techniques
Discussion of LES modeling techniques, including Smagorinsky model and dynamic models
Module #12
Hybrid RANS-LES Models
Introduction to hybrid RANS-LES models, including their formulation and application
Module #13
Turbulence Modeling for Wall-Bounded Flows
Discussion of turbulence modeling for wall-bounded flows, including wall functions and near-wall models
Module #14
Turbulence Modeling for Free Shear Flows
Discussion of turbulence modeling for free shear flows, including jets, plumes, and wakes
Module #15
Turbulence Modeling for Complex Flows
Discussion of turbulence modeling for complex flows, including swirling flows, rotational flows, and multiphase flows
Module #16
Turbulence Model Validation and Verification
Discussion of turbulence model validation and verification, including experimental and numerical methods
Module #17
Turbulence Modeling for Industrial Applications
Discussion of turbulence modeling for industrial applications, including aerospace, chemical, and civil engineering
Module #18
Advanced Topics in Turbulence Modeling
Discussion of advanced topics in turbulence modeling, including machine learning, data-driven models, and multi-scale methods
Module #19
Turbulence Modeling in Computational Fluid Dynamics (CFD)
Discussion of turbulence modeling in CFD, including commercial software and open-source codes
Module #20
Best Practices for Turbulence Modeling
Discussion of best practices for turbulence modeling, including model selection, grid resolution, and boundary conditions
Module #21
Turbulence Modeling for Multiphase Flows
Discussion of turbulence modeling for multiphase flows, including bubbly flows, droplet-based flows, and granular flows
Module #22
Turbulence Modeling for Non-Newtonian Flows
Discussion of turbulence modeling for non-Newtonian flows, including power-law fluids, Bingham plastics, and viscoelastic fluids
Module #23
Turbulence Modeling for Compressible Flows
Discussion of turbulence modeling for compressible flows, including supersonic and hypersonic flows
Module #24
Turbulence Modeling for Reactive Flows
Discussion of turbulence modeling for reactive flows, including combustion and chemical reactions
Module #25
Course Wrap-Up & Conclusion
Planning next steps in Turbulence Modeling in Fluid Flow career


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