Abstract

We study the sliding of drops of constant-viscosity dilute elastic liquids (Boger fluids) on various surfaces caused by sudden surface inclination. For smooth or roughened hydrophilic surfaces, such as glass or acrylic, there is essentially no difference between these elastic liquids and a Newtonian comparator fluid (with identical shear viscosity, surface tension, and static contact angle). In contrast for embossed polytetrafluoroethylene superhydrophobic surfaces, profound differences are observed: the elastic drops slide at a significantly reduced rate and complex branch-like patterns are left on the surface by the drop's wake including, on various scales, beads-on-a-string like phenomena. Microscopy images indicate that the strong viscoelastic effect is caused by stretching filaments of fluid from isolated islands, residing at pinning sites on the surface pillars, of the order ∼30 μm in size. On this scale, the local strain rates are sufficient to extend the polymer chains, locally increasing the extensional viscosity of the solution, retarding the drop and leaving behind striking branch-like structures on much larger scales.

Highlights

  • We study the sliding of drops of constant-viscosity dilute elastic liquids (Boger fluids) on various surfaces caused by sudden surface inclination

  • (1⁄4kc_ ) which is a ratio of elastic to viscous stresses and equal to fluid relaxation time (k) multiplied by a shear rate (c_ )— remains small for these drops when estimated based on a typical droplet velocity (U$O(mm/s)) and a length scale based on the droplet nominal diameter or the capillary length ($O(mm))

  • At the same Wi, for example, for smooth hydrophilic surfaces such as glass or acrylic, we find essentially no difference between the motion of these elastic liquids and the Newtonian solvent at identical Capillary number (Ca 1⁄4 gU/r) and effective Bond number (Bo 1⁄4 #2/3qgÁsin a/r where g is the gravitational acceleration)

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Summary

Introduction

We study the sliding of drops of constant-viscosity dilute elastic liquids (Boger fluids) on various surfaces caused by sudden surface inclination.

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