000014655 001__ 14655
000014655 005__ 20161115100158.0
000014655 04107 $$aeng
000014655 046__ $$k2016-08-21
000014655 100__ $$aYu, Jie
000014655 24500 $$aRatcheting viscous fluids in a vibrating channel

000014655 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014655 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014655 506__ $$arestricted
000014655 520__ $$2eng$$aA laboratory experiment shows that fluid can be pumped from one end to another in a narrow channel with vibrating sawtooth walls. The phenomenon is referred to as ratcheting fluid. We here present a theory describing the mechanism of rectifying oscillatory momentum into steady motions and symmetry-breaking that lead to the directional pumping of fluids as observed. A ‘terrain-following’ theoretical framework is formulated using a conformal transformation to accurately resolve the Stokes boundary layer of oscillatory flows and boundary-driven effects. The theory correctly predicts the unidirectional pumping, clearly elucidating the working principle of this fluid rectifier: The nonlinear inertia rectifies the periodic fluctuations of the flow into a steady momentum flux, driving steady circulations against viscous resistance. The asymmetric wall geometry renders the steady circulations to be spatially biased, leading to the pumping. Various influences on the pumping rate are analyzed. Applications to viscoelastic flows will be discussed.

000014655 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014655 653__ $$a

000014655 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014655 720__ $$aYu, Jie
000014655 8560_ $$ffischerc@itam.cas.cz
000014655 8564_ $$s261341$$uhttps://invenio.itam.cas.cz/record/14655/files/TS.FM10-4.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1180, code TS.FM10-4.05
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000014655 962__ $$r13812
000014655 980__ $$aPAPER