Hansen: Singular Velocities Within a Low Reynolds Number...
May
23
Fri 2:00 PM
When Friday, May 23, 2008
Time
2:00 PM - 3:00 PM
Where Tech M416
Contact Alvin Bayliss
847-491-7221
Group McCormick-Colloquia Engineering Sciences and Applied Mathematics
Applied Math Colloquium
Title: Singular Velocities Within a Low Reynolds Number Fluid
Speaker: David Hansen, Department of Engineering Sciences and Applied Mathematics, Northwestern University
Abstract: Fluids in the Stokes (creeping) flow regime have been well-studied and are typically well-behaved. Most of the time, their flow fields can be represented by linear combinations of Stokes singularities For problems described with spherical coordinates, these singularities involve decaying radial velocities multiplying spherical harmonics. Inspired by problems in low-Reynolds number streaming flow, we study a case of an axisymmetric flow above a plane, where seemingly benign boundary conditions on the plane theoretically require logarithmically singular velocities along the axis of symmetry. Such a flow would exhibit arbitrarily large velocity values, yet still fulfill the conditions for Stokes flow. I will analyze this problem using analytical and numerical methods and discuss its relation to applications in microfluidics. This talk is part of the RTG seminar series.
Title: Singular Velocities Within a Low Reynolds Number Fluid
Speaker: David Hansen, Department of Engineering Sciences and Applied Mathematics, Northwestern University
Abstract: Fluids in the Stokes (creeping) flow regime have been well-studied and are typically well-behaved. Most of the time, their flow fields can be represented by linear combinations of Stokes singularities For problems described with spherical coordinates, these singularities involve decaying radial velocities multiplying spherical harmonics. Inspired by problems in low-Reynolds number streaming flow, we study a case of an axisymmetric flow above a plane, where seemingly benign boundary conditions on the plane theoretically require logarithmically singular velocities along the axis of symmetry. Such a flow would exhibit arbitrarily large velocity values, yet still fulfill the conditions for Stokes flow. I will analyze this problem using analytical and numerical methods and discuss its relation to applications in microfluidics. This talk is part of the RTG seminar series.
