Advanced Fluid Dynamics: Principles and Applications
( 24 Modules )

Module #1
Introduction to Advanced Fluid Dynamics
Overview of the course, importance of fluid dynamics, and review of fundamental concepts

Module #2
Mathematical Preliminaries
Review of vector calculus, tensor analysis, and differential equations

Module #3
Kinematics of Fluid Motion
Description of fluid motion, streamlines, and velocity fields

Module #4
Dynamics of Fluid Motion
Newtons laws of motion, Eulers equation, and Bernoullis equation

Module #5
Dimensional Analysis and Scaling
Dimensionless numbers, Buckingham Pi theorem, and scaling laws

Module #6
Boundary Layers and Turbulence
Introduction to boundary layers, turbulence, and Reynolds number

Module #7
Laminar Flow
Exact solutions for laminar flow, Couette flow, and Poiseuille flow

Module #8
Turbulent Flow
Turbulence modeling, Reynolds number, and turbulent flow regimes

Module #9
vortex Dynamics
Introduction to vortex dynamics, vortex rings, and vortex tubes

Module #10
Instability and Transition
Linear stability analysis, instability mechanisms, and transition to turbulence

Module #11
Computational Fluid Dynamics
Introduction to CFD, numerical methods, and grid generation

Module #12
Direct Numerical Simulation
DNS for turbulent flows, numerical algorithms, and validation

Module #13
Large Eddy Simulation
LES for turbulent flows, subgrid-scale models, and applications

Module #14
Reynolds-Averaged Navier-Stokes Equations
RANS modeling, turbulent viscosity, and applications

Module #15
Multiphase Flow
Introduction to multiphase flow, phase-change phenomena, and applications

Module #16
Fluid-Structure Interaction
FSI for fluids and structures, coupled equations, and applications

Module #17
Biofluid Dynamics
Fluid dynamics in biological systems, blood flow, and respiratory flows

Module #18
Environmental Fluid Dynamics
Fluid dynamics in environmental systems, ocean currents, and atmospheric flows

Module #19
Aerospace Applications
Fluid dynamics in aerospace engineering, aerodynamics, and spacecraft propulsion

Module #20
Energy Generation and Storage
Fluid dynamics in energy systems, wind energy, and hydroelectric power

Module #21
Transport Phenomena
Heat transfer, mass transfer, and momentum transfer in fluid flow

Module #22
Advanced Measurement Techniques
PIV, LDA, and other advanced measurement techniques for fluid flow

Module #23
Uncertainty Quantification
Uncertainty quantification in fluid dynamics, sensitivity analysis, and probabilistic methods

Module #24
Course Wrap-Up & Conclusion
Planning next steps in Advanced Fluid Dynamics: Principles and Applications career

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