Tuesday, October 18, 2011
101 Stanley Thomas Hall
Tulane University (Uptown)
Refreshments will be served
Eva Strawbridge, L.E. Dickson Instructor, Department of Mathematics, University of Chicago
Compatibility of Kirchhoff Rods and Resistive Force Theory
The past forty years has witnessed an ever-increasing interest in applications of slender-body dynamics (such as Kirchhoff rod theory), in particular with regard to the shape, movement, or material parameters of biomolecules or materials. In most applications, hydrodynamic interactions (i.e. surface traction often approximated by resistive force theory) have been of utmost importance since the biologically relevant scales usually result in very small Reynolds number. However, the formulation of classical Kirchhoff slender-body assumes no surface traction in the development of the constitutive relation. In this seminar we will discuss an asymptotic approach to reconciling this apparent inconsistency and provide velocity bounds for which the compatibility of Kirchhoff rod and resistive force theory hold.
Center for Computational Science, Stanley Thomas Hall 402, New Orleans, LA 70118 email@example.com