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We develop a theory of fluid--structure interaction (FSI) between an oscillatory Newtonian fluid flow and a compliant conduit. We consider the canonical geometries of a 2D channel with a deformable top wall and an axisymmetric deformable…

流体动力学 · 物理学 2023-12-22 Shrihari D. Pande , Xiaojia Wang , Ivan C. Christov

In this chapter, we analyze the steady-state microscale fluid--structure interaction (FSI) between a generalized Newtonian fluid and a hyperelastic tube. Physiological flows, especially in hemodynamics, serve as primary examples of such FSI…

流体动力学 · 物理学 2019-03-12 Vishal Anand , Ivan C. Christov

We study fluid-structure interactions (FSIs) in a long and shallow microchannel, conveying a non-Newtonian fluid, at steady state. The microchannel has a linearly elastic and compliant top wall, while its three other walls are rigid. The…

流体动力学 · 物理学 2019-01-04 Vishal Anand , Joshua David , Ivan C. Christov

We study a nonlinear, unsteady, moving boundary, fluid-structure interaction (FSI) problem arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow, which is driven by the time-dependent pressure data, is…

偏微分方程分析 · 数学 2015-06-05 Boris Muha , Suncica Canic

A flow vessel with an elastic wall can deform significantly due to viscous fluid flow within it, even at vanishing Reynolds number (no fluid inertia). Deformation leads to an enhancement of throughput due to the change in cross-sectional…

流体动力学 · 物理学 2021-02-10 Vishal Anand , Ivan C. Christov

We develop a one-dimensional model for the unsteady fluid--structure interaction (FSI) between a soft-walled microchannel and viscous fluid flow within it. A beam equation, which accounts for both transverse bending rigidity and nonlinear…

流体动力学 · 物理学 2020-06-18 Tanmay C. Inamdar , Xiaojia Wang , Ivan C. Christov

Diffusioosmotic flow arises in microfluidic configurations due to solute concentration gradients. In soft microfluidic channels, internal pressure gradients generated by diffusioosmotic flow to conserve mass result in elastic deformation of…

流体动力学 · 物理学 2025-07-28 Nataly Maroundik , Dotan Ilssar , Evgeniy Boyko

We investigate the dynamics of pressure driven transient flows of incompressible Newtonian fluids through circular microtubes having thin elastic walls under the long-wavelength and small deformation assumptions, which are valid for many…

流体动力学 · 物理学 2012-12-04 Omer San , Anne E. Staples

Many engineering and physiological applications deal with situations when a fluid is moving in flexible tubes with elastic walls. In the real-life applications like blood flow, there is often an additional complexity of vorticity being…

流体动力学 · 物理学 2024-09-09 Rossen Ivanov , Vakhtang Putkaradze

We study a nonlinear, unsteady, moving boundary, fluid-structure (FSI) problem in which the structure is composed of two layers: a thin layer which is in contact with the fluid, and a thick layer which sits on top of the thin structural…

偏微分方程分析 · 数学 2013-05-24 Boris Muha , Suncica Canic

We consider the physical setup of a three-dimensional fluid-structure interaction problem. A viscous compressible gas or liquid interacts with a nonlinear, visco-elastic, three-dimensional bulk solid. The latter is described by a hyperbolic…

偏微分方程分析 · 数学 2021-08-09 Dominic Breit , Malte Kampschulte , Sebastian Schwarzacher

The problem of oscillating flows inside pipes under periodic forcing of viscoelastic fluids is addressed here. Starting from the linear Oldroyd-B model, a generalized Darcy's law is obtained in frequency domain and an explicit expression…

流体动力学 · 物理学 2015-06-12 Anier Hernández-García , Antonio Fernández-Barbero , Oscar Sotolongo-Costa

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…

流体动力学 · 物理学 2019-11-13 Boyang Qin , Paul F. Salipante , Steven D. Hudson , Paulo E. Arratia

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…

This work analyzes the viscous flow and elastic deformation created by the forced axial motion of a rigid cylinder within an elastic liquid-filled tube. The examined configuration is relevant to various minimally invasive medical procedures…

软凝聚态物质 · 物理学 2019-05-15 Amit Vurgaft , Shai B. Elbaz , Amir D. Gat

Soft hydraulics, which addresses the interaction between an internal flow and a compliant conduit, is a central problem in microfluidics. We analyze Newtonian fluid flow in a rectangular duct with a soft top wall at steady state. The…

流体动力学 · 物理学 2021-10-13 Xiaojia Wang , Ivan C. Christov

A microfluidic device is constructed from PDMS with a single channel having a short section that is a thin flexible membrane, in order to investigate the complex fluid-structure interaction that arises between a flowing fluid and a…

软凝聚态物质 · 物理学 2020-07-03 Debadi Chakraborty , J. Ravi Prakash , Leslie Yeo , James Friend

Deformable microchannels emulate a key characteristic of soft biological systems and flexible engineering devices: the flow-induced deformation of the conduit due to slow viscous flow within. Elucidating the two-way coupling between…

流体动力学 · 物理学 2026-01-14 Anxu Huang , Shrihari D. Pande , Jie Feng , Ivan C. Christov

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…

流体动力学 · 物理学 2019-12-03 Xiaojia Wang , Ivan C. Christov

The steady motion and deformation of a lipid-bilayer vesicle translating through a circular tube in low Reynolds number pressure-driven flow are investigated numerically using an axisymmetric boundary element method. This fluid-structure…

流体动力学 · 物理学 2020-05-05 Paul G. Chen , J. M. Lyu , M. Jaeger , M. Leonetti
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