Hydrodynamic Instabilities: A Theoretical Overview

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Explores the Rayleigh-Plateau instability in fluid flows, discussing surface tension effects and historical experiments related to this phenomenon.

Covers the numerical simulation workflow for fluid dynamics, focusing on boundary conditions and their importance for solution convergence.

Explores Rayleigh-Taylor instability, perturbation linearization, boundary conditions, normal mode expansion, and Laplace equation solution.

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.

Covers the basics of numerical flow simulation, including boundary conditions and geometry reduction.

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Explores Stokes formula in hydrodynamics, emphasizing flow along a sphere and boundary conditions.

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Covers the fundamentals of heat transfer and two-phase flow in fluid dynamics.

Explores laminar shear flow between parallel plates for incompressible fluids.