Many creatures navigate their world through undulation €“ theunidirectional propagation of bending waves along the body.Undulatorylocomotion in a fluid is well studied, at least at low Reynoldsnumber.There, undulation breaks time-reversal symmetry and an organismcanlocomote by using the anisotropy of fluid drag with respect tobody shape.On land,...
Creator:
Shelley, Michael J. (New York University)
Created:
2010-06-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will discuss two problems where flow instability drives a complex fluid -- or at least its mathematical model -- into intrinsic oscillations and unsteadiness. Both are in the Stokesian regiime where inertial effects are negligible. In the first, a visco-elastic fluid described by the Oldroyd-B model is driven by a background force that creates...
Creator:
Shelley, Michael J. (New York University)
Created:
2009-10-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Most classical and modern studies of swimming, pumping, and mixing in fluids have considered fluids that are Newtonian. All of these phenomena also take place in fluids that are viscoelastic and at low Reynolds number, and are particularly important to biology and to engineering areas such as microfluidics. I will discuss theoretical studies of ...
Creator:
Shelley, Michael J. (New York University)
Created:
2009-03-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.