Hydrodynamics: Hele Shaw Approximation

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Inviscid Flows: Understanding Fluid Dynamics

Explores inviscid flows, Reynolds number importance, linear deformations, and volume change in fluid dynamics.

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Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Fluid Dynamics: Navier-Stokes Equations

Explores fluid dynamics, covering Navier-Stokes equations, momentum conservation, stresses, and dimensional analysis.

Incompressible Fluid Mechanics: Differential Analysis

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

Fluid Dynamics: Differential Conservation Laws and Equations

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

Numerical Analysis of Incompressible Fluid Flow

Covers the software system Channelflow for numerical analysis of incompressible fluid flow in channel geometries, including spectral methods and invariant solutions.

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Fluids and Electromagnetism

Explores fluid flow, Bernoulli's theorem violation, viscosity, and necessary force for rotating cylinders with different fluids.

Symmetries and Conservation Laws

Covers symmetries and conservation laws in fluid dynamics, emphasizing the importance of maximizing symmetries in ideal fluid systems.

Fluid Flow Forces: Navier-Stokes Equation

Explores the limitations of the Bernoulli equation in fluid flow and introduces the Navier-Stokes equation.