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The solidification of metallic droplets into powder particles involves a complex interplay between heat diffusion, surface tension, and geometric constraints. In confined, curved systems -- such as those encountered in atomisation,…

Materials Science · Physics 2026-01-13 Priti Ranjan Panda , Harish Singh Dhami , Koushik Viswanathan

A droplet that impacts onto a solid substrate deforms in a complex dynamics. To extract the principal mechanisms that dominate this dynamics we deploy numerical simulations based on the phase field method. Direct comparison with experiments…

Fluid Dynamics · Physics 2017-04-05 Yuli Wang , Gustav Amberg , Andreas Carlson

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids on a completely wettable spherical substrate is theoretically studied. Both convex spherical substrates and concave spherical cavities with smooth or rough…

Soft Condensed Matter · Physics 2018-12-18 Masao Iwamatsu

An asymptotic interface equation for directional solidification near the absolute stabiliy limit is extended by a nonlocal term describing a shear flow parallel to the interface. In the long-wave limit considered, the flow acts…

Condensed Matter · Physics 2009-11-07 Yannick Marietti , Jean-Marc Debierre , Thomas-Michael Bock , Klaus Kassner

We review how phase-field models contributed to the understanding of various aspects of crystal nucleation including homogeneous and heterogeneous processes, and their role in microstructure evolution. We recall results obtained both by the…

The contact angle of a fluid droplet on an heterogeneous surface is analysed using the statistical dynamics of the spreading contact line. The statistical properties of the final droplet radius and contact angle are obtained through…

Soft Condensed Matter · Physics 2015-06-05 Mikko J. Alava , Martin Dube

We determine the speed of a crystallisation (or more generally, a solidification) front as it advances into the uniform liquid phase after the system has been quenched into the crystalline region of the phase diagram. We calculate the front…

Soft Condensed Matter · Physics 2013-03-25 A. J. Archer , M. J. Robbins , U. Thiele , E. Knobloch

This review article examines the complex dynamics of thin-film flows of granular suspensions spreading over rigid solid substrates with free air interfaces. Such systems feature an involved coupling of the free-surface dynamics with the…

Soft Condensed Matter · Physics 2025-10-14 Alice Pelosse , Elisabeth Guazzelli , Matthieu Roché

We discuss the growth process of a crystalline phase out of a metastable over-compressed liquid that is brought into contact with a crystalline substrate. The process is modeled by means of molecular dynamics. The particles interact via the…

Soft Condensed Matter · Physics 2014-08-07 Francesco Turci , Tanja Schilling

Using dynamical density functional theory we calculate the speed of solidification fronts advancing into a quenched two-dimensional model fluid of soft-core particles. We find that solidification fronts can advance via two different…

Soft Condensed Matter · Physics 2014-10-22 A. J. Archer , M. C. Walters , U. Thiele , E. Knobloch

We predict the structural interaction of crystalline solid-melt interfaces using amplitude equations which are derived from classical density functional theory or phase-field-crystal modeling. The solid ordering decays exponentially on the…

Materials Science · Physics 2015-06-12 Robert Spatschek , Ari Adland , Alain Karma

This paper investigates the behaviour of colloidal suspensions of alumina particles during directional solidification, by in situ high-resolution observations using X-ray radiography and tomography. This second part is focussed on the…

Soft materials are ubiquitous in technological applications that require deformability, for instance, in flexible, water-repellent coatings. However, the wetting properties of pre-strained soft materials are only beginning to be explored.…

Soft Condensed Matter · Physics 2025-04-15 Youchuang Chao , Hansol Jeon , Stefan Karpitschka

The early stages of sintering of highly viscous droplets are very similar to the early stages of a viscous droplet spreading on a solid substrate. The flows in both problems are closely analogous to the displacements in a Hertzian elastic…

Soft Condensed Matter · Physics 2019-07-15 Scott T. Milner

The dynamics of thin volatile droplets comprising of binary mixtures deposited on a heated substrate are investigated. Using lubrication theory, we develop a novel one-sided model to predict the spreading and retraction of an evaporating…

Fluid Dynamics · Physics 2020-09-23 A. G. L. Williams. G. Karapetsas , D. Mamalis , K. Sefiane , O. K. Matar , P. Valluri

Micrometer sized alkane-in-water emulsion drops, stabilized by appropriate long-chain surfactants, spontaneously break symmetry upon cooling and transform consecutively into series of regular shapes (Denkov et al., Nature 2015, 528, 392).…

The existing theoretical analyses of solidification dynamics lack the insights of historical relevance and transport processes in the whole system. Through the phase-field model, this paper investigates the evolution in the whole domain…

Materials Science · Physics 2023-09-06 Fengyi Yu

A droplet can deform a soft substrate due to capillary forces when they are in contact. We study the static deformation of a soft solid layer coated on a rigid cylindrical fiber when an axisymmetric barrel-shaped droplet is embracing it. We…

Soft Condensed Matter · Physics 2023-07-26 Bo Xue Zheng , Christian Pedersen , Andreas Carlson , Tak Shing Chan

A droplet falling toward a solid surface displaces the surrounding air until it encounters a defect, and contact nucleates. On atomically smooth surfaces devoid of defects, contact can be delayed until the droplet rebounds; however, above a…

Fluid Dynamics · Physics 2025-02-03 Octave Castanedo , John M. Kolinski

We use ultra-high-speed video imaging to look at the initial contact of a drop impacting onto a liquid layer. We observe experimentally the vortex street and the bubble-ring entrapments predicted numerically, for high impact velocities, by…

Fluid Dynamics · Physics 2013-05-01 M. -J. Thoraval , K. Takehara , T. G. Etoh , S. T. Thoroddsen