Module #1 Introduction to Advanced Fluid Mechanics Overview of the course, importance of fluid mechanics in engineering, and review of fundamental concepts
Module #2 Mathematical Preliminaries Vector calculus, tensor analysis, and differential equations for fluid mechanics
Module #3 Kinematics of Fluid Flow Description of fluid motion, streamlines, streaklines, and pathlines
Module #4 Dynamics of Fluid Flow Newtons laws of motion, Eulers equation, and Navier-Stokes equations
Module #5 Boundary Layer Theory Laminar and turbulent boundary layers, boundary layer equations, and similarity solutions
Module #6 Turbulence Modeling Introduction to turbulence, turbulence models, and Reynolds number effects
Module #7 Pipe Flow Laminar and turbulent pipe flow, friction factors, and pipe network analysis
Module #8 Open Channel Flow Flow in rivers, channels, and canals, uniform flow, and gradually varied flow
Module #9 Hydrodynamics of Ocean and Atmospheric Flows Large-scale flows, geostrophic currents, and Ekman layers
Module #10 Computational Fluid Dynamics (CFD) Fundamentals Introduction to CFD, numerical methods, and grid generation
Module #11 Finite Element Method (FEM) for Fluid Flow FEM formulation, discretization, and solution techniques for fluid flow problems
Module #12 Finite Volume Method (FVM) for Fluid Flow FVM formulation, discretization, and solution techniques for fluid flow problems
Module #13 Lattice Boltzmann Method (LBM) for Fluid Flow LBM fundamentals, collision operators, and boundary conditions
Module #14 Direct Numerical Simulation (DNS) and Large Eddy Simulation (LES) DNS and LES methods, subgrid-scale modeling, and turbulence modeling
Module #15 Multiphase Flow Introduction to multiphase flow, Euler-Euler and Euler-Lagrange approaches
Module #16 Heat Transfer in Fluid Flow Convection heat transfer, heat transfer coefficients, and dimensional analysis
Module #17 Mass Transport in Fluid Flow Convection-diffusion equation, mass transfer coefficients, and dispersion
