000014638 001__ 14638
000014638 005__ 20161115100157.0
000014638 04107 $$aeng
000014638 046__ $$k2016-08-21
000014638 100__ $$aMitchell, William
000014638 24500 $$aGeneralized traction integral equations and viscous erosion

000014638 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014638 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014638 506__ $$arestricted
000014638 520__ $$2eng$$aMotivated by the problem of an eroding particle immersed in a viscous fluid, we present some new results on surface tractions in Stokes flows. In particular, we derive new integral equations for the surface tractions on a rigid particle immersed in a low Reynolds number fluid which may have a non-trivial background flow and/or a no-slip plane wall. The integral operator enjoys the conditioning advantages of second kind integral equations while avoiding the traditional obstacles of hypersingularity and rank deficiency. Moreover, the derivation is a simple argument using the Lorentz reciprocal theorem. This work builds on a 2011 paper of Keaveny and Shelley which considered the case of an infinite quiescent fluid. The formulation is used to explore viscous erosion of bodies in a selection of fundamental background flows, resulting in the emergence of distinct limiting body shapes involving sharp corners and ridges.

000014638 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014638 653__ $$a

000014638 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014638 720__ $$aMitchell, William
000014638 8560_ $$ffischerc@itam.cas.cz
000014638 8564_ $$s118070$$uhttps://invenio.itam.cas.cz/record/14638/files/TS.FM10-1.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1146, code TS.FM10-1.04
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000014638 962__ $$r13812
000014638 980__ $$aPAPER