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We investigate the equilibrium morphology of a finite volume of liquid placedon two parallel rigid fibers of different radii. As observed for identicalradii fibers, the liquid is either in a column morphology or adopts a dropshape depending on the inter-fiber distance. However the cross-sectional areaand the critical inter-fiber distance at which the transition occurs are bothmodified by the polydispersity of the fibers. Using energy considerations, weanalytically predict the critical inter-fiber distance corresponding to thetransition between the column and the drop morphologies occurs. This distancedepends both on the radii of the fibers and on the contact angle of the liquid.We perform experiments using a perfectly wetting liquid on two parallel nylonfibers: the results are in good agreement with our analytical model. Themorphology of the capillary bridges between fibers of different radii isrelevant to the modeling of large arrays of polydisperse fibers.

Wetting morphologies on an array of fibers of different radii