Energetic analysis of drop's maximum spreading on solid surface with low impact speed

Drops impacting on a flat solid surface will spread until it reaches maximum contact with the substrate underneath. After that, it recoils. In the present work, the variations of energy components during the spreading are studied carefully, including kinetic, capillary, and dissipated energies. Our experimental and numerical results show that, when the impact speed is low, the fast slipping of the contact line (in inertia-capillary regime) and corresponding "interface relaxation" lead to extra dissipation. An auxiliary dissipation is therefore introduced into the traditional theoretical model. The energy components predicted by the improved model agree with the experimental and numerical results very well. As the impact speed increases (the Weber number, We = rho D0V02/gamma, becomes larger than 40 in the present work), the dissipation induced by the initial velocity plays more important roles. The analyses also indicate that on the hydrophobic surfaces the auxiliary dissipation is lower than that on hydrophilic ones. In the later circumstances, the contact angle is larger and the spreading is weaker. Published by AIP Publishing.