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As fine templates to prepare microcapsules, multiple emulsions with complex internal structures have been generated through microfluidics. To study effects of layers, inner droplets and asymmetry of internal structures on rheology of…

Soft Condensed Matter · Physics 2013-02-26 Jingtao Wang , Jinxia Liu , Junjie Han , Jing Guan

We present a mechanistic model of drug release from a multiple emulsion into an external surrounding fluid. We consider a single multi-layer droplet where the drug kinetics are described by a pure diffusive process through different liquid…

Soft Condensed Matter · Physics 2020-09-02 G. Pontrelli , E. J. Carr , A. Tiribocchi , S. Succi

Many biological examples of fluid-structure interaction, including the transit of red blood cells through the narrow slits in the spleen and the intracellular trafficking of vesicles into dendritic spines, involve the near-contact of…

Numerical Analysis · Mathematics 2017-12-20 Thomas G. Fai , Chris H. Rycroft

We highlight the current state-of-the-art in modeling emulsion rheology, ranging from dilute to jammed dense systems. We focus on analytical and numerical methods developed for calculating, computing, and tracking drop deformation en route…

Soft Condensed Matter · Physics 2025-01-28 Rodrigo B Reboucas , Nadia N Nikolova , Vivek Sharma

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

Fluid Dynamics · Physics 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

The rheology of pressure-driven flows of two-dimensional dense monodisperse emulsions in neutral wetting microchannels is investigated by means of mesoscopic lattice simulations, capable of handling large collections of droplets, in the…

Soft Condensed Matter · Physics 2019-12-03 Linlin Fei , Andrea Scagliarini , Kai H. Luo , Sauro Succi

The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and…

Numerical Analysis · Mathematics 2017-02-27 Boyce E. Griffith , Xiaoyu Luo

Encapsulation of chemicals using polymer membranes enables to control their transport and delivery for applications such as agrochemistry or detergency. To rationalize the design of polymer capsules, it is necessary to understand how the…

Soft Condensed Matter · Physics 2018-12-18 Corentin Tregouët , Thomas Salez , Mathilde Reyssat , Cécile Monteux

We present a methodology for simulating three-dimensional flow of incompressible viscoplastic fluids modelled by generalised Newtonian rheological equations. It is implemented in a highly efficient framework for massively parallelisable…

Fluid Dynamics · Physics 2019-09-17 Knut Sverdrup , Ann Almgren , Nikolaos Nikiforakis

A variety of numerical methods exist for the study of deformable particles in dense suspensions. None of the standard tools, however, currently include volume-changing objects such as oscillating microbubbles in three-dimensional periodic…

Biological Physics · Physics 2017-08-14 Achim Guckenberger , Stephan Gekle

We study the rheology of monodisperse and bidisperse emulsions with various droplet sizes (1 $\mu$m -- 2 $\mu$m diameter). Above a critical volume fraction $\phi_c$, these systems exhibit solid-like behavior and a yield stress can be…

Soft Condensed Matter · Physics 2021-03-12 Cong Cao , Jianshan Liao , Victor Breedveld , Eric R Weeks

The immersed boundary (IB) method has been used as a means to simulate fluid-membrane interactions in a wide variety of biological and engineering applications. Although the numerical convergence of the method has been empirically verified,…

Numerical Analysis · Mathematics 2025-10-09 Alexandre X. Milewski , Charles S. Peskin

We describe an immersed boundary method in which the fluid-structure coupling is achieved in an Eulerian framework. The method is an improved extension of the immersed boundary method originally developed by Kajishima et al. [1], which…

Fluid Dynamics · Physics 2022-01-12 Naoki Hori , Marco Edoardo Rosti , Shu Takagi

We present a strongly-coupled immersed-boundary method for flow-structure interaction problems involving thin deforming bodies. The method is stable for arbitrary choices of solid-to-fluid mass ratios and for large body motions. As with…

Fluid Dynamics · Physics 2016-10-05 Andres Goza , Tim Colonius

Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering…

Fluid Dynamics · Physics 2020-11-18 J. M. Lyu , Paul G. Chen , G. Boedec , M. Leonetti , M. Jaeger

The local granular rheology is investigated numerically in turbulent bedload transport. Considering spherical particles, steady uniform configurations are simulated using a coupled fluid-discrete-element model. The stress tensor is computed…

Geophysics · Physics 2016-11-08 Raphael Maurin , Julien Chauchat , Philippe Frey

To acquire the ability to numerically study the rheology of particulate two-phase flows that lack scale separation, we present a general method to average or coarse-grain the equations of motion of a mixture of a continuous fluid of…

Fluid Dynamics · Physics 2026-01-22 Thomas Pähtz , Yulan Chen , Rui Zhu , Katharina Tholen , Zhiguo He

We extend the recently introduced divergence-conforming immersed boundary (DCIB) method [1] to fluid-structure interaction (FSI) problems involving closed co-dimension one solids. We focus on capsules and vesicles, whose discretization is…

Turbulent emulsions are ubiquitous in chemical engineering, food processing, pharmaceuticals, and other fields. However, our experimental understanding of this area remains limited due to the multi-scale nature of turbulent flow and the…

Fluid Dynamics · Physics 2025-04-08 Yaning Fan , Yi-Bao Zhang , Jinghong Su , Lei Yi , Cheng Wang , Chao Sun

Multiphase flows are commonly found in chemical engineering processes such as distillation columns, bubble columns, fluidized beds and heat exchangers. The physical boundaries of domains in numerical simulations of multiphase flows are…

Fluid Dynamics · Physics 2023-04-21 Tanyakarn Treeratanaphitak , Nasser Mohieddin Abukhdeir
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