Lectures in course ME-466: Instability

Introduction: Hydrodynamics Log in to Mediaspace to watch this video

Covers fundamental hydrodynamics concepts, including two-phase flows, turbulence, and practical CFD examples.

Fluid Instabilities: Viscous Fingering and Stability Analysis Log in to Mediaspace to watch this video

Explores viscous fingering, flow instabilities, and aircraft stability analysis.

Viscous Beads Flowing Down a Vertical Fibre Log in to Mediaspace to watch this video

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

Thermal Instabilities: Rayleigh-Benard Analysis Log in to Mediaspace to watch this video

Explores fluid instabilities, focusing on Rayleigh-Benard analysis and key concepts like buoyancy and temperature gradients.

Perturbation expansion and boundary conditions Log in to Mediaspace to watch this video

Covers perturbation expansion, linearization, change of variables, and normal mode expansion in the context of boundary conditions.

Instability in thermal convection Log in to Mediaspace to watch this video

Explores instability in thermal convection, finite difference methods, and Marangoni convection patterns.

Instability analysis Log in to Mediaspace to watch this video

Covers various types of flow instabilities and the analysis of instability mechanisms and criteria.

Taylor Couette: Instability Analysis and Mechanisms Log in to Mediaspace to watch this video

Explores instability analysis and mechanisms in Taylor Couette flow, covering various types of instabilities and their characteristics.

Spatially Developing Shear Flows: Instability Log in to Mediaspace to watch this video

Explores the spatial development of shear flows and various flow instabilities, focusing on the Kelvin-Helmholtz instability and related phenomena.

Centrifugal Instabilities: Mechanism and Analysis Log in to Mediaspace to watch this video

Covers centrifugal instabilities, Rayleigh criterion, experimental setups, Navier-Stokes equations, base flow analysis, and comparison between theory and experiments.

Hydrodynamic Instabilities: Part 2 Log in to Mediaspace to watch this video

Explores Kelvin-Helmholtz instability, 2D parallel flow concepts, and normal mode expansion.

Inviscid Instabilities: Rayleigh Criterion Log in to Mediaspace to watch this video

Explores parallel flow instabilities, Rayleigh inflection point criterion, and normal mode decomposition in 3D Euler equations.

Fluid Kinematics: Euler/Lagrange Log in to Mediaspace to watch this video

Covers fluid kinematics, Eulerian and Lagrangian descriptions, total derivative, rotation, vorticity, and Laplacian in fluid dynamics.

Shear Flows: Instabilities and Equations Log in to Mediaspace to watch this video

Explores flow instabilities, shear flows, and the transition to streamfunction equations.

Instability: Euler to Streamfunction Equation Log in to Mediaspace to watch this video

Explores the transition from Euler to streamfunction equation, discussing boundary conditions, normal modes, dispersion relation, and flow stability.

Vortex Instabilities Log in to Mediaspace to watch this video

Explores vortex shedding, flow separation, and Rayleigh-Taylor instabilities, along with shear flows and numerical solutions using MATLAB.

Instability: parallel flow concepts Log in to Mediaspace to watch this video

Explores fluid flow instabilities, including Rayleigh-Taylor and Kelvin-Helmholtz, and parallel flow concepts like normal mode decomposition and Squire's transformation.

Transient and Spatial Flow Instabilities Log in to Mediaspace to watch this video

Explores transient and spatial growth in flow instabilities, dispersion relations, and necessary conditions for instability.

Shear Flows: Instabilities and Waves Log in to Mediaspace to watch this video

Explores shear flows, instabilities, and waves in spatially developing flows.

Parallel Flow Instabilities Log in to Mediaspace to watch this video

Explores parallel flow instabilities, dispersion relations, and Rayleigh theorem, along with confinement influence and Rayleigh equation solutions.