English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Swimming at small Reynolds number of a linear assembly of identical spheresimmersed in a viscous fluid is studied on the basis of a set of equations ofmotion for the individual spheres. The motion of the spheres is caused byactuating forces and forces derived from a direct interaction potential, aswell as hydrodynamic forces exerted by the fluid as frictional and added masshydrodynamic interactions. The swimming velocity is deduced from the momentumbalance equation for the assembly of spheres, and the mean power requiredduring a period is calculated from an instantaneous power equation. Expressionsare derived for the mean swimming velocity and the mean power, valid to secondorder in the amplitude of displacements from the relative equilibriumpositions. Hence these quantities can be evaluated in terms of prescribedperiodic displacements. Explicit calculations are performed for a linear chainof three identical spheres.

Swimming at small Reynolds number of a collinear assembly of spheres in an incompressible viscous fluid