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We investigate theoretically the steady incompressible viscoelastic flow in a rigid axisymmetric tube (cylindrical pipe) with varying cross-section. We use the Oldroyd-B viscoelastic constitutive equation to model the fluid viscoelasticity.…

Fluid Dynamics · Physics 2024-11-20 Kostas D. Housiadas , Antony N. Beris

Low Reynolds number swimmers frequently move near boundaries, such as spirochetes moving through porous tissues and sperm navigating the reproductive tract. Furthermore, these microorganisms must often navigate non-Newtonian fluids such as…

Fluid Dynamics · Physics 2023-11-10 D. Gagnon , B. Thomases , R. D. Guy , P. E. Arratia

Laminar flow in devices fabricated from soft materials causes deformation of the passage geometry, which affects the flow rate--pressure drop relation. For a given pressure drop, in channels with narrow rectangular cross-section, the flow…

Fluid Dynamics · Physics 2018-02-23 Ivan C. Christov , Vincent Cognet , Tanmay C. Shidhore , Howard A. Stone

We investigate previously unclarified effects of fluid elasticity on shear-thickening in dilute suspensions in an Oldroyd-B viscoelastic fluid using a novel direct numerical simulation based on the smoothed profile method. Fluid elasticity…

Soft Condensed Matter · Physics 2020-12-21 Yuki Matsuoka , Yasuya Nakayama , Toshihisa Kajiwara

The flow of viscoelastic fluids in channels and pipes remain poorly understood, particularly at low Reynolds numbers. Here, we investigate the flow of polymeric solutions in straight channels using pressure measurements and particle…

Fluid Dynamics · Physics 2019-11-13 Boyang Qin , Paul F. Salipante , Steven D. Hudson , Paulo E. Arratia

Thin-film flows of viscoelastic fluids are encountered in various industrial and biological settings. The understanding of thin viscous film flows in Newtonian fluids is very well developed, which for a large part is due to the so-called…

Fluid Dynamics · Physics 2021-12-24 Charu Datt , Minkush Kansal , Jacco H. Snoeijer

To mimic the motion of biological swimmers in bodily fluids, a novel experimental system of micellar solubilization driven active droplets in a visco-elastic polymeric solution is presented. The visco-elastic nature of the medium,…

Soft Condensed Matter · Physics 2023-05-12 Prateek Dwivedi , Atishay Shrivastava , Naveen Tiwari , Dipin Pillai , Rahul Mangal

We present numerical simulations of laminar and turbulent channel flow of an elastoviscoplastic fluid. The non-Newtonian flow is simulated by solving the full incompressible Navier-Stokes equations coupled with the evolution equation for…

Fluid Dynamics · Physics 2018-07-17 Marco Edoardo Rosti , Daulet Izbassarov , Outi Tammisola , Sarah Hormozi , Luca Brandt

The lid-driven cavity flow is a well-known benchmark problem for the validation of new numerical methods and techniques. In experimental and numerical studies with viscoelastic fluids in such lid-driven flows, purely-elastic instabilities…

Fluid Dynamics · Physics 2016-03-08 R. G. Sousa , R. J. Poole , A. M. Afonso , F. T. Pinho , P. J. Oliveira , A. Morozov , M. A. Alves

Droplet impact and spreading on solid substrates are well understood for Newtonian fluids, yet how viscoelasticity alone modifies the maximal spreading remains unclear. To identify the mechanisms governing the spreading dynamics, we…

Fluid Dynamics · Physics 2026-05-13 Orr Avni , Dongyue Wang , Mithun Ravisankar , Roberto Zenit

Ultrathin polymer films that are produced e.g. by spin-coating are believed to be stressed since polymers are 'frozen in' into out-of-equilibrium configurations during this process. In the framework of a viscoelastic thin film model, we…

Soft Condensed Matter · Physics 2011-03-01 Falko Ziebert , Elie Raphael

We present predictions for the flow of elastoviscoplastic (EVP) fluids in the 4 to 1 planar contraction geometry. The Saramito-Herschel-Bulkley fluid model is solved via the finite-volume method with the OpenFOAM software. Both the…

Fluid Dynamics · Physics 2024-03-19 Milad Mousavi , Yannis Dimakopoulos , John Tsamopoulos

Liquid films coating vertical cylinders can form annular liquid collars which translate downwards under gravity. We investigate the dynamics of a thin viscoplastic liquid film coating the interior or exterior of a vertical cylindrical tube,…

Surface tension-driven flow techniques have recently emerged as an efficient means of shedding light into the rheology of thin polymer films. Motivated by experimental and theoretical approaches in films bearing a varying surface…

Soft Condensed Matter · Physics 2017-04-26 Ioannis Tanis , Hendrik Meyer , Thomas Salez , Elie Raphaël , Anthony C. Maggs , Jörg Baschnagel

In this paper, the influence of non-Newtonian material properties on the draw resonance instability in film casting is investigated. Viscoelastic models of infinite width film casting are derived systematically following an asymptotic…

Fluid Dynamics · Physics 2020-03-23 Mathias Bechert

A mathematical model is derived for the dynamics of a cylinder, or wheel, rolling over a thin viscous film. The model combines the Reynolds lubrication equation for the fluid with an equation of motion for the wheel. Two asymptotic limits…

Fluid Dynamics · Physics 2025-11-18 Siqi Chen , Cheng Liu , Neil J. Balmforth , Sheldon Green , Boris Stoeber

The emerging field of deformable microfluidics widely employed in the Lab-on-a-Chip and MEMS communities offers an opportunity to study a relatively under-examined physics. The main objective of this work is to provide a deeper insight into…

Fluid Dynamics · Physics 2018-09-14 Aryan Mehboudi , Junghoon Yeom

This work concerns the continuum basis and numerical formulation for deformable materials with viscous dissipative mechanisms. We derive a viscohyperelastic modeling framework based on fundamental thermomechanical principles. Since most…

Numerical Analysis · Mathematics 2021-08-12 Ju Liu , Marcos Latorre , Alison L. Marsden

Hydrodynamic problems with stagnation points are of particular importance in fluid mechanics as they allow study and investigation of elongational flows. In this article, the uniaxial elongational flow appearing at the surface of a…

Fluid Dynamics · Physics 2021-06-08 A. Emamian M. Norouzi , M. Davoodi

We consider the steady-state analysis of a pinned elastic plate lying on the free surface of a thin viscous fluid, forced by the motion of a bottom substrate moving at constant speed. A mathematical model incorporating elasticity,…

Fluid Dynamics · Physics 2025-05-20 Philippe H. Trinh , Stephen K. Wilson , Howard A. Stone