Joseph Teran (CIMS)

Peristaltic pumping by wave-like muscular contractions is a
fundamental biomechanical mechanism for material transport and is used
in the intestine, oviduct and ureter. While peristaltic pumping of
Newtonian fluids is well understood, in many important applications (
e.g. fluid dynamics of reproduction) the fluids exhibit non-Newtonian
behavior. I will present numerical simulations of the Oldroyd-B
equations investigating such non-Newtonian effects over a range of
Weissenburg numbers, peristalsis wavelengths and amplitudes. A similar
problem computationally is the locomotion of a swimmer in an Oldroyd-B
fluid. I will present numerical results that reproduce the classical
asymptotic predictions of G.I. Taylor for a periodic swimming sheet in
a Stokesian fluid as well as more recent predictions by E. Lauga for an
Oldroyd-B fluid. I will also discuss interesting non-Newtonian behavior
and its effect on locomotion strategies. I will conclude with a brief
advertisement/introduction for an AML seminar (March 29) I am giving on
virtual surgery with the NYU medical school.