Lectures related to Stokes flow

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.

Inviscid Flows: Understanding Fluid Dynamics

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

Fluid Dynamics: Navier-Stokes Equations

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

Hele-Shaw: Hydrodynamics

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

Stokes equations: reversibility, hydro

Explores Stokes equations, reversibility in low Reynolds number flow, and hydrodynamic implications.

Viscous Beads Flowing Down a Vertical Fibre

Delves into the dynamics of fluid flowing down a vertical fibre, forming droplets under gravity and exhibiting various flow regimes.

Rayleigh-Benard Instability

Explores the Rayleigh-Benard instability, discussing flow instabilities due to buoyancy forces and the analysis of dispersion relations.

Steady State Solutions: Poiseuille Flow

Covers the steady state solutions for Poiseuille flow and different flow scenarios.

Symmetries and Conservation Laws

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

Finite Element Method: Stabilization Techniques

Covers the application of stabilization techniques in the Finite Element Method.

Stochastic a-Navier-Stokes Model: Properties and Applications

Explores the stochastic a-Navier-Stokes model for fluid dynamics and its applications in various contexts.

Viscous Dissipation and the Slider Bearing

Explores energy dissipation in fluid flow, particularly in a slider bearing system, emphasizing the impact of viscosity on kinetic energy loss.

Viscous flow: Equations and Solutions

Explores equations and solutions for viscous flow, including stress-deformation relationships, Navier-Stokes equations, and simple fluid flow cases.

Viscoelastic Materials: Models and Transformations

Explores viscoelastic materials, transforms, and models in materials science.

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Hydrodynamics: Holomorphic Functions

Explores hydrodynamics principles and holomorphic functions' role in fluid dynamics.

Fluid Dynamics: Navier-Stokes

Covers the Navier-Stokes equations in fluid dynamics and elasticity equations.

Symmetries of Navier-Stokes Equations

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Fluid Flow Forces: Navier-Stokes Equation

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

Navier-Stokes Equation

Covers the Navier-Stokes equation in incompressible flow fields and explains the pressure distribution.