Lectures related to Hydrodynamic Instabilities: Part 2

Kelvin-Helmholtz and Rayleigh Taylor Instabilities

Explores Kelvin-Helmholtz and Rayleigh Taylor instabilities, kinematic conditions, linearized equations, and normal mode expansion.

Turbulence: Numerical Flow Simulation

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

Vorticity Conservation and Diffusion

Covers vorticity conservation, diffusion, potential flow, and vortex dynamics.

Instability Analysis: Linearized Equations and Dispersion Relation

Explores fluid instability through linearized equations and dispersion relation, analyzing stability based on wavenumber and frequency.

Deformations and Circulation

Covers deformations, rotation, and circulation in closed curves, as well as vorticity generation in fluid flow.

Rayleigh Taylor Instability: Analysis and Equations

Explores Rayleigh Taylor instability, incompressible equations, and boundary conditions.

Boundary Layers: Recap and Effects on Drag and Lift

Covers the importance of boundary layers, viscosity effects on drag and lift.

Fluid Friction Forces

Explores fluid friction forces, including laminar and turbulent flow, viscosity, and terminal velocity calculation.

Boundary Layer Instability

Explores boundary layer destabilization, strain tensors, and neutral curve analysis in shear flows.

Introduction: Hydrodynamics

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

Incompressible Fluid Mechanics: Differential Analysis

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

Turbulence Modeling

Explores turbulence characteristics, modeling challenges, and various numerical simulation methods.

Internal Forced Convection: Hydrodynamic Aspects

Covers the hydrodynamic and thermal aspects of internal forced convection.

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Matrix Calculus: Determinants

Covers the calculation of determinants in matrix algebra and their application in solving linear equations.

Inviscid Flows: Understanding Fluid Dynamics

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

Internal Flows and Boundary Layers

Explores internal flows, boundary layers, heat transfer coefficients, and Nusselt number correlations in thermal systems.

Lattice Boltzmann: Turbulence Onset

Explores lattice Boltzmann's role in studying turbulence onset and its advantages in hydrodynamics.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Introduction to Hydrodynamics

Covers drag reduction, two-phase flows, geophysics, tidal energy harvesting, fish propulsion, flow classifications, instabilities, turbulence, and computational tools.