Cylinders, multi-cylinders and the induced action of Aut(Fn)

Vortex Induced Oscillations of Cylinders

The submitted fluid dynamics videos [1] depict the various orientational dynamics of a hinged cylinder suspended in a flow tank. The different behaviors displayed by the cylinder range from steady orientation to periodic oscillation and even autorotation. We illustrate these features using a phase diagram which captures the observed phenomena as a function of Reynolds number (Re) and reduced in...

Tunable capillary-induced attraction between vertical cylinders.

Deformation of a fluid interface caused by the presence of objects at the interface can lead to large lateral forces between objects. We explore these fluid-mediated attractive force between partially submerged vertical cylinders. Forces are experimentally measured by slowly separating cylinder pairs and cylinder triplets after capillary rise is initially established for cylinders in contact. F...

Stratifications of mapping cylinders

We characterize those maps between homotopically stratified spaces whose mapping cylinders are also homotopically stratified spaces. Two applications are offered. The first concerns locally flat submanifolds of topological manifolds, and the second concerns algebraic maps between algebraic varieties.  1999 Elsevier Science B.V. All rights reserved.

Intersection of Infinite Cylinders

Intersection of Cylinders