Coarsening rates for the dynamics of slipping droplets

Kitavtsev G.

European Journal of Applied Mathematics, cilt.25, sa.1, ss.83-115, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1017/s0956792513000314
  • Dergi Adı: European Journal of Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.83-115
  • Anahtar Kelimeler: Absorption model, Asymptotic analysis, Coarsening rates, Droplet collisions, Free films, Lubrication equations, Wall slippage
  • Orta Doğu Teknik Üniversitesi Kuzey Kıbrıs Kampüsü Adresli: Hayır

Özet

Reduced ordinary differential equation (ODE) models arising from a high-order lubrication system and describing coarsening dynamics of droplets in nanometric polymer film interacting on a hydrophobically coated solid substrate in the presence of large slippage at the liquid/solid interface are analysed. In the limiting case of infinite slip length corresponding in applications to free films, a collision/absorption model then arises and is solved explicitly. The exact coarsening law is derived for it analytically and confirmed numerically. Existence of a threshold for the decay of initial distributions of droplet distances at infinity at which the coarsening rates switch from algebraic to exponential ones is shown. Copyright © Cambridge University Press 2013.