The shape of a liquid surface in a uniformly rotating cylinder in the presence of surface tension

VA Lubarda - Acta Mechanica, 2013 - Springer
The free-surface shape of a liquid in a uniformly rotating cylinder in the presence of surface
tension is determined before and after the onset of dewetting at the bottom of the cylinder …

Investigation of thermo-capillary flow inside an evaporating pinned water droplet

C Bouchenna, MA Saada, S Chikh… - … Phenomena and Heat …, 2015 - dl.begellhouse.com
Thermo-capillary flow inside an evaporating water drop on heated or non-heated substrate
is investigated. The modeling of the internal flow inside the drop takes into account the …

Wetting dynamics of a collapsing fluid hole

JB Bostwick, JA Dijksman, M Shearer - Physical Review Fluids, 2017 - APS
The collapse dynamics of an axisymmetric fluid cavity that wets the bottom of a rotating
bucket bound by vertical sidewalls are studied. Lubrication theory is applied to the …

Spreading and bistability of droplets on differentially heated substrates

JB Bostwick - Journal of Fluid Mechanics, 2013 - cambridge.org
An axisymmetric drop spreads on a radially heated, partially wetting solid substrate in a
rotating geometry. The lubrication approximation is applied to the field equations for this thin …

Obtaining self-similar scalings in focusing flows

JA Dijksman, S Mukhopadhyay, C Gaebler, TP Witelski… - Physical Review E, 2015 - APS
The surface structure of converging thin fluid films displays self-similar behavior, as was
shown in the work by Diez [Q. Appl. Math. 210, 155 (1990)]. Extracting the related similarity …

Evolution of droplets of perfectly wetting liquid under the influence of thermocapillary forces

S Mukhopadhyay, N Murisic, RP Behringer… - Physical Review E …, 2011 - APS
We consider the evolution of sessile droplets of a nonvolatile perfectly wetting liquid on
differentially radially heated solid substrates. The heating induces thermocapillary …

Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity

JM Gomba, CA Perazzo - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
Analytical solutions for the shape of both hanging and sitting droplets under the effects of
gravity and surface tension are presented. The modeling also includes the action of …

Physics of Spin Casting Dilute Solutions

S Karpitschka, CM Weber, H Riegler - arXiv preprint arXiv:1205.3295, 2012 - arxiv.org
We analyze the evolution of the vertical composition profile during hydrodynamic-
evaporative film thinning as it typically occurs during spin casting mixtures of non-volatile …

Contact-line instability of liquids spreading on top of rotating substrates

KER Boettcher, P Ehrhard - European Journal of Mechanics-B/Fluids, 2014 - Elsevier
A (film or) droplet of viscous liquid spreads isothermally on a smooth horizontal solid
surface. The lubrication approximation is used to study the linear stability of thin (films or) …

Thermal Marangoni-driven dynamics of spinning liquid films

JA Dijksman, S Mukhopadhyay, RP Behringer… - Physical Review …, 2019 - APS
Thinning dynamics in spin coating of viscous films is influenced by many physical
processes. Temperature gradients are known to affect thin liquid films through their influence …