Lectures related to Hydrodynamics: Holomorphic Functions

Velocity Boundary Layer Equations

Focuses on velocity boundary layer equations in laminar flow and covers mass and momentum conservation, Navier-Stokes equations, and the Reynolds number.

Incompressible Fluid Mechanics: Differential Analysis

Covers mass and momentum conservation, Navier-Stokes equations, and analytical methods in incompressible fluid mechanics.

Hele-Shaw: Hydrodynamics

Covers the fundamentals of hydrodynamics, focusing on Hele-Shaw flow and various flow states.

Fluid Dynamics: Ideal Fluids

Explores physical models for microsystems, ideal fluids, Navier-Stokes equations, incompressible fluids, Reynolds number, and molecular dynamics.

Lubrication equation

Covers the lubrication equation, Stokes equations, scaling analysis, and resolution of the velocity profile in hydrodynamics.

Turbulence Concepts: Reynolds Decomposition and Closure Problem

Explores Reynolds decomposition, closure problem, and turbulence modeling challenges.

Incompressible Fluid Mechanics

Covers topics such as differential analysis, potential flow, 2D flows, superpositions, lift, and drag.