Linear Stability of Spiral Poiseuille Flow and Comparison to Experiment
David Cotrell
Mathematical and Computational Sciences Division
Tuesday, November 4, 2003 15:00-16:00,
Room 145, NIST North (820)
Gaithersburg
Tuesday, November 4, 2003 13:00-14:00,
Room 4550
Boulder
Abstract:
For fluid flow in an annulus driven by both rotation of the inner and outer
cylinders and an axial pressure gradient (spiral Poiseuille flow), this work
investigates transition from the simplest flow possible (i.e., steady with two
nonzero velocity componets that vary only in r) to the next simplest flow
possible (i.e., steady with three nonzero velocity components that vary with r
and z). This work is motivated by electrochemical processes in rotating
cylinder electrodes, heat transfer in rotating machinery, flow-amplified
electrophoretic separations, and vortex flow reactors for shear-sensitive
biological systems.
Complete linear stability boundaries have been computed for several values of
the radius and rotation rate ratios. Comparison is also made to a wealth of
experimental data for the onset of instability.
Contact: A. J. KearsleyNote: Visitors from outside NIST must contact
Robin Bickel; (301) 975-3668;
at least 24 hours in advance.
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