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Many technological processes include preparing some special materials adhering to a product surface. For example, this problem is important for the magnetic tape producing, wire adhering, etc. For a surface withdrawn from the molten metal…

Fluid Dynamics · Physics 2018-05-08 Ivan V. Kazachkov

We propose a one-dimensional model for collecting lymphatics coupled with a novel Electro-Fluid-Mechanical Contraction (EFMC) model for dynamical contractions, based on a modified FitzHugh-Nagumo model for action potentials. The…

Numerical Analysis · Mathematics 2017-03-07 Christian Contarino , Eleuterio F. Toro

We study an asymptotic analysis of a coupled system of kinetic and fluid equations. More precisely, we deal with the nonlinear Vlasov-Fokker-Planck equation coupled with the compressible isentropic Navier-Stokes system through a drag force…

Analysis of PDEs · Mathematics 2020-06-18 Young-Pil Choi , Jinwook Jung

The mechanical property enhancement of polymer reinforced with nano-thin clay platelets (of high aspect ratio) is associated with a high polymer-filler interfacial area per unit volume. The ideal case of fully separated (exfoliated)…

Materials Science · Physics 2012-02-08 Paul E Spencer , John Sweeney

We develop an embedded boundary method (EBM) to solve the two-phase incompressible flow with piecewise constant density. The front tracking method is used to track the interface. The fractional step methods are used to solve the…

Numerical Analysis · Mathematics 2013-06-12 Shuqiang Wang , James Glimm , Roman Samulyak , Xiangmin Jiao , Chenzhe Diao

We investigated the two-dimensional flows of a viscoplastic fluid in symmetric channels with impermeable walls under no-slip boundary conditions. As response functions for the Cauchy stress tensor of the viscoplastic fluid, we considered…

Fluid Dynamics · Physics 2025-06-17 Benedetta Calusi , Angiolo Farina , Lorenzo Fusi , Luigi Vergori

In this paper we study the behavior of an incompressible viscous fluid moving between two very close surfaces also in motion. Using the asymptotic expansion method we formally justify two models, a lubrication model and a shallow water…

Analysis of PDEs · Mathematics 2022-03-09 J. M. Rodríguez , R. Taboada-Vázquez

The universal generalising approach for non-isothermal behaviour of different alloys has been provided together with the novel deformation modelling. Strong correlation between the model approach and experimental results is shown that…

The assumption that blood adheres to vessel walls, the ``no-slip'' boundary condition, is an essential premise of cardiovascular fluid dynamics. Yet, whether it holds true \emph{in vivo} has not been established. Using 4D flow magnetic…

A computationally efficient method is presented for approximate optimization of cutting pattern of frame-supported and pneumatic membrane structures. The plane cutting sheet is generated by minimizing the error from the shape obtained by…

Optimization and Control · Mathematics 2017-12-14 Makoto Ohsaki , Jun Fujiwara , Fumiyoshi Takeda

An electrohydrodynamic (EHD) flow in a point-to-ring corona configuration is investigated experimentally, analytically and via a multiphysics numerical model. The interaction between the accelerated ions and the neutral gas molecules is…

Fluid Dynamics · Physics 2019-07-30 Yifei Guan , Ravi Sankar Vaddi , Alberto Aliseda , Igor Novosselov

The ubiquitous wall slip behavior of viscoplastic fluids renders the analysis of their steady torsional flow data to determine their yield stress and other parameters of their shear viscosity material function challenging. Roughened…

Fluid Dynamics · Physics 2021-06-28 Dilhan M. Kalyon

The present study examines evaporative cooling and the resulting deposition patterns of a sessile $Al_2O_3$-based nanofluid droplet on a hydrophobic glass substrate at different temperatures. Evaporation predominantly occurs in the pinned…

Fluid Dynamics · Physics 2026-03-26 S. K. Saroj , P. K. Panigrahi

We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described by the incompressible Navier-Stokes equations with a free…

Analysis of PDEs · Mathematics 2026-03-31 Mario Bukal , Igor Kukavica , Linfeng Li , Boris Muha

Microfluidic systems are usually fabricated with soft materials that deform due to the fluid stresses. Recent experimental and theoretical studies on the steady flow in shallow deformable microchannels have shown that the flow rate is a…

Fluid Dynamics · Physics 2020-09-14 A. Martínez-Calvo , A. Sevilla , G. G. Peng , H. A. Stone

While data-driven methods offer significant promise for modeling complex materials, they often face challenges in generalizing across diverse physical scenarios and maintaining physical consistency. To address these limitations, we propose…

Graphics · Computer Science 2025-10-27 Xueguang Xie , Shu Yan , Shiwen Jia , Siyu Yang , Aimin Hao , Yang Gao , Peng Yu

Since viscoelastic two-phase flows arise in various industrial and natural processes, developing accurate and efficient software for their detailed numerical simulation is a highly relevant and challenging research task. We present a…

Fluid Dynamics · Physics 2025-01-08 Matthias Niethammer , Muhammad Hassan Asghar , Tomislav Maric , Dieter Bothe

Main characteristics of colloidal systems that develop fluid phases with different mechanical properties, namely shear-banding fluids, are briefly reviewed both from experimental and theoretical (modelling) point of view. A non-monotonic…

Soft Condensed Matter · Physics 2009-03-05 Daniel Quemada , Claudio Berli

In this paper, we consider numerical approximations of a binary fluid-surfactant phase-field model coupled with the fluid flow, in which the system is highly nonlinear that couples the incompressible Navier-Stokes equations and two…

Numerical Analysis · Mathematics 2018-04-13 Xiaofeng Yang

Motivated by the elastic-viscous-plastic (EVP) sea-ice model [E. C. Hunke and J. K. Dukowicz, J. Phys. Oceanogr., 27, 9 (1997), 1849--1867], which is used in large-scale numerical climate simulations, we proposed in [D. W. Boutros, X. Liu,…

Analysis of PDEs · Mathematics 2026-04-30 Daniel W. Boutros , Xin Liu , Marita Thomas , Edriss S. Titi