Spreading of viscoplastic droplets

Abstract

The spreading under surface tension and gravity of a droplet of yield-stress fluid over a thin film of the same material is studied. The droplet converges to a final equilibrium shape once the driving stresses inside the droplet fall below the yield stress. Scaling laws are presented for the final radius and complemented with an asymptotic analysis for shallow droplets. Moreover, numerical simulations using the volume-of-fluid method and a regularized constitutive law, and experiments with an aqueous solution of Carbopol are presented.

arXiv comment18 pages, 12 figures

References in corpus (4)

• Yield Stress Materials in Soft Condensed Matter
• Yield stress and elasticity influence on surface tension measurements
• Ripples in Thin Films
• Thixotropy in Viscoplastic Drop Impact on Thin Films

Cited by in corpus (10)

• Bursting Bubble in a Viscoplastic Medium
• Surface-tension-driven evolution of a viscoplastic liquid coating the interior of a cylindrical tube
• Surfactant amplifies yield-stress effects in the capillary instability of a film coating a tube
• Bursting bubble in an elasto-viscoplastic medium
• Spreading of a viscoelastic drop on a solid substrate
• Spreading of droplets under various gravitational accelerations
• Viscoplasticity can stabilise liquid collar motion on vertical cylinders
• Growth of a viscoplastic blister underneath an elastic sheet
• Yield Stress Fluids Solidifying in Capillary Imbibition
• Capillary and priming pressures control the penetration of yield-stress fluids through non-wetting 2D meshes