ITLApplied  Computational Mathematics Division
ACMD Seminar Series
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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)
Tuesday, November 4, 2003 13:00-14:00,
Room 4550

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. Kearsley

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Last updated: 2011-01-12.