NJIT Applied Mathematics Colloquium
Friday, September 30, 2011, 11:30am
Cullimore Lecture Hall II
New Jersey Institute of Technology
Waving rings and swimming in circles: some lessons learned through biofluiddynamics
Dinoflagellates swim due to the action of two flagella - a trailing, longitundinal flagellum that propagates planar waves, and a transverse flagellum that propagates helical waves. Motivated by the intriguing function of the transverse flagellum, we study the fundamental fluid dynamics of a helically-undulating ring in a viscous fluid. We contrast this biofluiddynamic study, where the kinematics of the waveform are taken as given, with a model of mammalian sperm hyperactivated motility. Here, our goal is to examine how the complex interplay of fluid dynamics, biochemistry, and elastic properties of the flagellum give rise to the swimming patterns observed. We will discuss the method of regularized Stokeslets, which is an easily-implemented and versatile computational method for examining fluid-structure interactions in very viscous flows.