Skip to main content

Reciprocal theorem for the prediction of the normal force induced on a particle translating parallel to an elastic membrane

Author(s): Daddi-Moussa-Ider, A; Rallabandi, B; Gekle, S; Stone, Howard A

Download
To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1186k
Full metadata record
DC FieldValueLanguage
dc.contributor.authorDaddi-Moussa-Ider, A-
dc.contributor.authorRallabandi, B-
dc.contributor.authorGekle, S-
dc.contributor.authorStone, Howard A-
dc.date.accessioned2021-10-08T20:19:13Z-
dc.date.available2021-10-08T20:19:13Z-
dc.date.issued2018en_US
dc.identifier.citationDaddi-Moussa-Ider, A, Rallabandi, B, Gekle, S, Stone, HA. (2018). Reciprocal theorem for the prediction of the normal force induced on a particle translating parallel to an elastic membrane. Physical Review Fluids, 3 (10.1103/PhysRevFluids.3.084101en_US
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1186k-
dc.description.abstractWhen an elastic object is dragged through a viscous fluid tangent to a rigid boundary, it experiences a lift force perpendicular to its direction of motion. An analogous lift occurs when a rigid symmetric object translates parallel to an elastic interface or a soft substrate. The induced lift force is attributed to an elastohydrodynamic coupling that arises from the breaking of the flow reversal symmetry produced by the elastic deformation of the translating object or the interface. Here we derive explicit analytical expressions for the quasi-steady-state lift force exerted on a rigid spherical particle translating parallel to a finite-sized membrane exhibiting a resistance toward both shear and bending. Our analytical approach applies the Lorentz reciprocal theorem so as to obtain the solution of the flow problem using a perturbation technique for small deformations of the membrane. We find that the shear-related contribution to the normal force leads to an attractive interaction between the particle and the membrane. This emerging attractive force decreases quadratically with the system size to eventually vanish in the limit of an infinitely extended membrane. In contrast, membrane bending leads to a repulsive interaction whose effect becomes more pronounced upon increasing the system size, where the lift force is found to diverge logarithmically for an infinitely large membrane. The unphysical divergence of the bending-induced lift force can be rendered finite by regularizing the solution with a cutoff length beyond which the bending forces become subdominant to an external body force.en_US
dc.language.isoen_USen_US
dc.relation.ispartofPhysical Review Fluidsen_US
dc.rightsAuthor's manuscripten_US
dc.titleReciprocal theorem for the prediction of the normal force induced on a particle translating parallel to an elastic membraneen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevFluids.3.084101-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

Files in This Item:
File Description SizeFormat 
Reciprocal theorem for the prediction of the normal force induced on a particle translating parallel to an elastic membrane.pdf408.94 kBAdobe PDFView/Download


Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.