where _ cgm is the viscous shear stress, with _ c the shear rate and gm the matrix viscosity, Do is initial droplet diameter, and G is the interfacial tension. A steady applied shearing flow that is not so fast as to lead to droplet rupture will eventually stretch a droplet into a roughly ellipsoidal steady-state shape, and the steady-state degree of deformation, defined as the deformation para...

The objective of this research is to develop an accurate numerical method to be used in showing the deformation of a liquid fuel droplet in a convective field. To simultaneously solve the internal liquid droplet flow field as well as the external gas phase flow field, a nonstaggered rectangular grid system without any coordinate transformation is used. Transition from the gas field to the liqui...

This paper reports experimental and numerical results of the deformation of a ferrofluid droplet on a superhydrophobic surface under the effect of a uniform magnetic field. A water-based ferrofluid droplet surrounded by immiscible mineral oil was stretched by a magnetic field parallel to the substrate surface. The results show that an increasing flux density increases the droplet width and decr...

As a droplet impacts upon a granular substrate, both the intruder and the target undergo deformation, during which the liquid may penetrate into the substrate. These three aspects together distinguish it from other impact phenomena in the literature. We perform high-speed, double-laser profilometry measurements and disentangle the dynamics into three aspects: the deformation of the substrate du...

The objective of this research is to develop an accurate numerical method to be used in showing the deformation of a liquid fuel droplet in a convective field. To simultaneously solve the internal liquid droplet flow field as well as the external gas phase flow field, a nonstaggered rectangular grid system without any coordinate transformation is used. Transition from the gas field to the liqui...

We consider the imbibition of a liquid droplet into a deformable porous substrate. The liquid in the droplet is imbibed due to capillary suction in an initially dry and undeformed substrate. Deformation of the substrate occurs as the liquid fills the pore space. In our model, a pressure gradient in the liquid across the developing wet substrate region induces a stress gradient in the solid matr...

The impact and spreading of a compound viscous droplet on a flat surface are studied computationally using a front-tracking method as a model for the single cell epitaxy. This is a technology developed to create two-dimensional and three-dimensional tissue constructs cell by cell by printing cell-encapsulating droplets precisely on a substrate using an existing ink-jet printing method. The succ...

An analytical model is presented for the deformation of an ellipsoidal Newtonian droplet, suspended in another Newtonian fluid with different viscosity and zero interfacial tension. The theory is exact for any linear velocity field, and is not limited to small deformations. It encompasses some well-known special cases, such as Jeffery’s equation for solid axisymmetric particles and Taylor’s sma...

A numerical simulation using a distributed-Lagrange-multiplier-based computational method is conducted in order to investigate the deformation and breakup of a droplet in a particulate shear flow. A level-set method is used to track the interface and model the surface tension. The results show that the presence of particles leads to larger droplet deformation and a perforation in the center of ...

Dispersed systems such as emulsions and suspensions are encountered in a large variety of applications areas such as food, cosmetics, pharmaceutics and polymers. To obtain the desired performance of an emulsion the dispersing process, i.e. droplet size distribution has to be monitored and controlled. By combining droplet generation, deformation and fixation in one experimental set-up we aim to ...