Physics 111a -- Fluid Mechanics
Physics 111a: Introduction to Fluid Mechanics
Basic Equations and Concepts
What is a Fluid?
Equations for Ideal Fluids
Hydrostatics
Vorticity
Bernoulli’s Theorem
Vorticity Dynamics
Viscosity: a first pass
Introduction to the Navier-Stokes equation
Dimensional analysis and the Reynolds number
Simple examplew of viscous flow
Introduction to diffusion
Diffusion and Viscosity
Gibbs phenomenon in Acheson 2.3
Simple solutions in cylindrical coordinates
Waves in fluids
Linear waves
Surface waves
Surface Gravity Waves
Capillary waves
Internal gravity waves
Compressible flows: linear theory
Nonlinear waves
The Shallow Water System
The Method of Characteristics
Shallow water equations 2
Shock waves in gas dynamics
Flows at low Reynolds number
Stokes Drag
Corner eddies
General properties of creeping flow
Swimming at low Reynolds number
Thin Film approximation
Thin film example: the Hele-Shaw cell
Thin films: adhesion between plates
Thin film flow on a slope
Lubrication: sliding between surfaces
Bibliography
repository
open issue
Index