Mechanics of swimming microorganisms
Professor Thomas Powers
Division of Engineering
Brown University
At the small scale of a cell swimming in water,
inertial effects are unimportant. Therefore, the motion of the fluid is
governed by Stokes equations, which are linear. Nevertheless,
there are many situations in which nonlinear effects are important. In
this talk I will describe two such situations. The first is swimming in
a viscoelastic material, which is motivated by the fact that many
microorganisms move in a non-Newtonian media such as mucus. I will
present a simple model that shows how fading memory affects swimming
speed. The second situation I will consider is the
synchronization of rotors via hydrodynamic interactions. This problem
is motivated by the observed coordination of nearby beating cilia.