Advanced Hydrodynamics
( 25 Modules )

Module #1
Introduction to Advanced Hydrodynamics
Overview of the course, importance of hydrodynamics in engineering and science

Module #2
Review of Fundamentals
Review of basic concepts:fluid properties, fluid statics, and kinematics

Module #3
Mathematical Tools for Hydrodynamics
Vector calculus, tensor analysis, and differential equations

Module #4
Navier-Stokes Equations
Derivation, physical significance, and types of N-S equations

Module #5
Exact Solutions of Navier-Stokes Equations
Couette flow, Poiseuille flow, and other exact solutions

Module #6
Approximation Techniques
Boundary layer theory, lubrication theory, and other approximations

Module #7
Turbulence
Introduction to turbulence, turbulence models, and Reynolds number

Module #8
Boundary Layer Theory
Laminar and turbulent boundary layers, boundary layer equations

Module #9
Free Shear Layers
Free shear layers, jets, and wakes

Module #10
Separation and Reattachment
Flow separation, reattachment, and associated phenomena

Module #11
Open Channel Flow
Uniform and non-uniform open channel flow, hydraulic jumps

Module #12
Compressible Flow
Introduction to compressible flow, Mach number, and shock waves

Module #13
Cavitation
Cavitation phenomenon, cavitation inception, and cavitation damage

Module #14
Water Waves
Linear and nonlinear water waves, wave breaking, and coastal engineering

Module #15
Coastal Hydrodynamics
Tides, tidal currents, and coastal sediment transport

Module #16
Numerical Methods in Hydrodynamics
Finite difference, finite element, and lattice Boltzmann methods

Module #17
Experimental Methods in Hydrodynamics
Measurement techniques, flow visualization, and laboratory experiments

Module #18
Hydrodynamic Instabilities
Instability types, Rayleigh-Taylor instability, and Kelvin-Helmholtz instability

Module #19
Bio-Inspired Hydrodynamics
Biomimicry, hydrodynamics of swimming, and hydrodynamics of flight

Module #20
Environmental Hydrodynamics
Water quality, pollution transport, and environmental fluid mechanics

Module #21
Geophysical Hydrodynamics
Ocean currents, wind-driven circulation, and thermohaline circulation

Module #22
Hydrodynamic Forces on Structures
Drag, lift, and pressure forces on submerged bodies

Module #23
Hydrodynamic Modeling of Real-World Systems
Case studies of hydrodynamic modeling in engineering and science

Module #24
Uncertainty and Sensitivity Analysis
Uncertainty quantification, sensitivity analysis, and uncertainty propagation

Module #25
Course Wrap-Up & Conclusion
Planning next steps in Advanced Hydrodynamics career

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