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We analyze the steady viscoelastic fluid flow in slowly varying contracting channels of arbitrary shape and present a theory based on the lubrication approximation for calculating the flow rate-pressure drop relation at low and high Deborah…

Fluid Dynamics · Physics 2025-04-16 Bimalendu Mahapatra , Tachin Ruangkriengsin , Howard A. Stone , Evgeniy Boyko

We study theoretically the profile evolution of a thin viscoelastic film supported onto a no-slip flat substrate. Due to the nonconstant initial curvature at the free surface, there is a flow driven by Laplace pressure and mediated by…

Soft Condensed Matter · Physics 2014-05-16 Michael Benzaquen , Thomas Salez , Elie Raphaël

As the first endeavour, we have analyzed the pulsatile flow of Oldroyd-B viscoelastic fluid where the combined effects of fluid elasticity and pulsation parameters on the flow characteristics are numerically studied at a low Reynolds…

Fluid Dynamics · Physics 2021-07-08 Subhasisa Rath , Bimalendu Mahapatra

The steady flow of three viscoelastic fluids (Oldroyd-B, FENE-P, and Owens model for blood) in a two-dimensional channel, partly bound by a deformable, finite thickness neo-Hookean solid, is computed. The limiting Weissenberg number beyond…

Soft Condensed Matter · Physics 2020-07-03 Debadi Chakraborty , J. Ravi Prakash

Viscoelastic fluid flows in narrow non-uniform geometries are ubiquitous in various engineering applications and physiological flow systems. For such flows, one of the key interests is understanding how fluid viscoelasticity affects the…

Fluid Dynamics · Physics 2025-10-09 Yali Kedem , Bimalendu Mahapatra , Evgeniy Boyko

Viscoelastic fluids play a critical role in various engineering and biological applications, where their lubrication properties are strongly influenced by relaxation times ranging from microseconds to minutes. Although the lubrication…

An exact similarity solution of the lubrication equations for the steady flow of a viscoelastic Oldroyd-B fluid in a contracting and symmetric hyperbolic channel is derived. The solution is valid for small values of the Deborah number, De…

Fluid Dynamics · Physics 2025-03-27 Kostas D. Housiadas

We analyze the steady non-Newtonian fluid-structure interaction between the flow of an Oldroyd-B fluid and a deformable channel. Specifically, we provide a theoretical framework for calculating the leading-order effect of the fluid's…

Fluid Dynamics · Physics 2023-01-26 Evgeniy Boyko , Ivan C. Christov

We consider a cylinder immersed in viscous fluid moving near a flat substrate covered by an incompressible viscoelastic fluid layer, and study the effect of the fluid viscoelasticity on the lift force exerted on the cylinder. The lift force…

Fluid Dynamics · Physics 2023-08-22 Shiyuan Hu , Fanlong Meng , Masao Doi

Lubrication theory is broadly applicable to the flow characterization of thin fluid films and the motion of particles near surfaces. We offer an extension to lubrication theory by starting with Stokes equations and considering higher-order…

Fluid Dynamics · Physics 2017-01-30 Behrouz Tavakol , Guillaume Froehlicher , Douglas P. Holmes , Howard A. Stone

The impact of viscoelasticity on drop deformation in the presence of an electric field is investigated using both analytical and numerical methods. The study focuses on two configurations: a viscoelastic drop suspended in a Newtonian fluid…

Fluid Dynamics · Physics 2025-10-08 Santanu Kumar Das , Sarika Shivaji Bangar , Amaresh Dalal , Gaurav Tomar

We analyze the pressure-driven flow of a viscoelastic fluid in arbitrarily shaped, narrow channels and present a theoretical framework for calculating the relationship between the flow rate $q$ and pressure drop $\Delta p$. We utilize the…

Fluid Dynamics · Physics 2022-05-31 Evgeniy Boyko , Howard A. Stone

The deformation and break-up of Newtonian/viscoelastic droplets are studied in confined shear flow. Our numerical approach is based on a combination of Lattice-Boltzmann models (LBM) and finite difference schemes, the former used to model…

Soft Condensed Matter · Physics 2016-11-15 A. Gupta , M. Sbragaglia

Long, shallow microchannels embedded in thick soft materials are widely used in microfluidic devices for lab-on-a-chip applications. However, the bulging effect caused by fluid--structure interactions between the internal viscous flow and…

Fluid Dynamics · Physics 2019-12-03 Xiaojia Wang , Ivan C. Christov

We use the impact of drops on a small solid target as a tool to investigate the behavior of viscoelastic fluids under extreme deformation rates. We study two classes of transient networks: semidilute solutions of supramolecular polymers and…

Soft Condensed Matter · Physics 2022-05-06 S. Arora , A. Louhichi , D. Vlassopoulos , C. Ligoure , L. Ramos

The interaction of a thin viscous film with an elastic sheet results in coupling of pressure and deformation, which can be utilized as an actuation mechanism for surface deformations in a wide range of applications, including microfluidics,…

Fluid Dynamics · Physics 2021-03-24 Evgeniy Boyko , Ran Eshel , Khaled Gommed , Amir D. Gat , Moran Bercovici

Based on experiments and 3-D simulations, we show that a soft elastic film during adhesion and debonding from a rigid flat surface undergoes morphological transitions to pillars, labyrinths and cavities, all of which have the same lateral…

Soft Condensed Matter · Physics 2009-11-11 Manoj Gonuguntla , Ashutosh Sharma , Jayati Sarkar , Subash A. Subramanian , Moniraj Ghosh , Vijay Shenoy

Viscoelastic fluids exhibit elastic instabilities in simple shear flow and flow through curved streamlines. Surprisingly, we found in a porous medium such fluids show strikingly different hydrodynamic instabilities depicted by very large…

Soft Condensed Matter · Physics 2017-11-22 S. De , J. van der Schaaf , N. G. Deen , J. A. M. Kuipers , E. A. J. F. Peters , J. T. Padding

Control of acoustic streaming can significantly impact fluid and particle transport in microfluidics. We report enhancement, suppression, and reversal of acoustic streaming inside a rectangular microchannel by controlling the fluid…

Fluid Dynamics · Physics 2026-02-20 T. Sujith , A. K. Sen

We study the electrokinetic flow of viscoelastic fluids subjected to an oscillatory pressure gradient, and particularly focus on the resonance behaviors in the flow. The governing equations are restricted to linear regime so that the…

Fluid Dynamics · Physics 2021-06-09 Zhaodong Ding , Yongjun Jian
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