\( \newcommand\D{\mathrm{d}} \newcommand\E{\mathrm{e}} \newcommand\I{\mathrm{i}} \newcommand\bigOh{\mathcal{O}} \newcommand{\cat}[1]{\mathbf{#1}} \newcommand\curl{\vec{\nabla}\times} \newcommand{\CC}{\mathbb{C}} \newcommand{\NN}{\mathbb{N}} \newcommand{\QQ}{\mathbb{Q}} \newcommand{\RR}{\mathbb{R}} \newcommand{\ZZ}{\mathbb{Z}} \)
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Topics - Fluid Mechanics

Flows and Solutions

As usual in the sciences, examples are more important than principles. There was a book by van Dyke, An Album of Fluid Motion. It would be nice to turn that into a bunch of GIFs or Javascript widgets, where the user could change the value of Reynolds numbers and other physical parameters.

  • Hele-Shaw flow in 3-dimensions with "infinitesimally thin" fluids bounded between two sheets or surfaces. We can study Hele-Shaw flows past cylinders, airfoils, etc.
    • Lamb, Hydrodynamics, §71
    • L. M. Milne-Thomson, Theoretical Hydrodynamics §21.40
  • Rankine bodies and half-bodies

Things to ponder

  • Is there some well-defined form of turbulence? See mathoverflow.

Last Updated 2023-04-14 Fri 10:02.