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We study the dynamic behaviour of two viscous fluid films confined between two concentric cylinders rotating at a small relative velocity. It is assumed that the fluids are immiscible and that the volume of the outer fluid film is large…

Analysis of PDEs · Mathematics 2021-10-01 Christina Lienstromberg , Tania Pernas-Castaño , Juan J. L. Velázquez

We present a new asymptotic strategy for general micro-macro models which analyze complex viscoelastic fluids governed by coupled multiscale dynamics. In such models, the elastic stress appearing in the macroscopic continuum equation is…

Mathematical Physics · Physics 2025-12-22 Xuenan Li , Chun Liu , Di Qi

This paper deals with the small oscillations of two circular cylinders immersed in a viscous stagnant fluid. A new theoretical approach based on an Helmholtz expansion and a bipolar coordinate system is presented to estimate the fluid…

Fluid Dynamics · Physics 2021-01-28 Romain Lagrange , Yann Fraigneau

We present an asymptotic theory for analytical characterization of the high-Reynolds-number incompressible flow of a Newtonian fluid past a shear-free circular cylinder. The viscosity-induced modifications to this flow are localized and…

Fluid Dynamics · Physics 2020-11-18 Anuj Kumar , Nidhil Mohamed A. R , Pritam Giri , Ratnesh K. Shukla

Valveless pumping assists in fluid transport in various organisms and engineering systems. In a previous work, to study the actuator impact effects on valveless pumping, we constructed a piecewise-linear lumped-parameter model for a…

Fluid Dynamics · Physics 2011-06-24 Chi-Chung Wang , Tian-Shiang Yang

We study the dynamical instability of anisotropic collapsing cylinder with the expansion-free condition, which generates vacuum cavity within fluid distribution. The perturbation scheme is applied to distinguish Newtonian, post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2015-06-16 M. Sharif , M. Azam

The cavitation flow of linear-polymer solutions around a cylinder is studied by performing a large-scale molecular dynamics simulation. The addition of polymer chains remarkably suppresses the cavitation. The polymers are stretched into a…

Fluid Dynamics · Physics 2021-07-28 Yuta Asano , Hiroshi Watanabe , Hiroshi Noguchi

This study investigates the impact of elasticity and plasticity on two-dimensional flow past a circular cylinder at Reynolds number $Re = 100$. Ten direct numerical simulations were performed using the Saramito-Herschel-Bulkley model to…

This study numerically examines the steady unconfined laminar flow of incompressible non-Newtonian power-law fluids past a pair of side-by-side counter-rotating circular cylinders using the finite element method. The cylinders…

Fluid Dynamics · Physics 2026-05-28 Lekhraj Malviya , Ram Prakash Bharti , Abhishek Kumar Lal

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

Two cylinders rotating next to each other generate a large hydrodynamic force if the intermediate space is filled with a viscous fluid. Herein, we explore the case where the cylinders are separated by two layers of viscous immiscible…

Soft Condensed Matter · Physics 2024-03-29 Aditya Jha , Yacine Amarouchene , Thomas Salez

This paper presents a study of acoustic scattering by a cylinder of either infinite or finite length near a flat pressure-release surface. A novel self-consistent method is developed to describe the multiple scattering interactions between…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Zhen Ye , You-Yu Chen

It is demonstrated by molecular dynamics simulations that liquids interacting via the Buckingham potential are strongly correlating, i.e., have regions of their phase diagram where constant-volume equilibrium fluctuations in the virial and…

Soft Condensed Matter · Physics 2012-03-27 Arno A. Veldhorst , Lasse Bøhling , Jeppe C. Dyre , Thomas B. Schrøder

We present an experimental and numerical study of immiscible two-phase flow in 3-dimensional (3D) porous media to find the relationship between the volumetric flow rate ($Q$) and the total pressure difference ($\Delta P$) in the steady…

We calculate the effective slip length for a rectangularly grooved periodic surface encapsulated (i.e., fully wetted) by a lubricant fluid and subjected to exterior shear flow parallel to the grooves. Our focus is the limit of a…

Fluid Dynamics · Physics 2026-01-29 Ory Schnitzer , Ehud Yariv

The objective of this work is to characterise the onset of laterally asymmetric flow of viscoelastic solutions around a confined microfluidic cylinder, which was encountered in a recent study [Rodrigues et al., $\textit{J. Non-Newton. Fluid…

Fluid Dynamics · Physics 2025-09-26 R. Rodrigues , T. Rodrigues , L. Campo-Deaño

We present a new approach to the problem of stationary viscoplastic duct flow as modelled by the Herschel-Bulkley model, with Bingham fluids included as a special case. While the mathematical formulation of this problem is conventionally…

Numerical Analysis · Mathematics 2015-10-16 Timm Treskatis , Miguel A. Moyers-Gonzalez , Chris J. Price

We study the drift induced by the passage of two cylinders through an unbounded extent of inviscid incompressible fluid under the assumption that the flow is two-dimensional and steady in the moving frame of reference. The goal is to assess…

Fluid Dynamics · Physics 2016-05-25 Sergei Melkoumian , Bartosz Protas

Fluid-structure interactions are ubiquitous in nature and technology. However, the systems are often so complex that numerical simulations or ad hoc assumptions must be used to gain insight into the details of the complex interactions…

An experimental and computational investigation of the internal flow of elastoviscoplastic fluids over non-smooth topologies is presented in two complimentary studies. In the first study, we visualize the creeping flow of a Carbopol gel…

Fluid Dynamics · Physics 2023-08-17 Miguel E. Villalba , Masoud Daneshi , Emad Chaparian , D. Mark Martinez