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In this article we use analytical and numerical modeling to describe parallel viscous two-phase flows in microchannels. The focus is on idealized two-dimensional geometries, with a view to validating the various methodologies for future…

Fluid Dynamics · Physics 2019-11-28 Lennon Ó Náraigh , Daniel R. Jansen van Vuuren

We present a comparative modelling study of fluid-structure interactions in microchannels. Through a mathematical analysis based on plate theory and the lubrication approximation for low-Reynolds-number flow, we derive models for the flow…

Fluid Dynamics · Physics 2020-07-10 Tanmay C. Shidhore , Ivan C. Christov

We first highlight theoretically a microfluidic configuration that allows to measure two fundamental parameters describing mass transport through a membrane: the solute permeability coefficient $\mathcal{L}_D$, and the associated reflection…

Soft Condensed Matter · Physics 2025-06-09 Julien Renaudeau , Pierre Lidon , Jean-Baptiste Salmon

Capillary-driven transport offers a simple, self-sustained alternative to externally pumped microfluidic systems, yet achieving precise control of such flows remains challenging. We experimentally and theoretically investigate capillary…

Fluid Dynamics · Physics 2026-03-03 Harsha Desu , Niladri S. Satpathi , Lokesh Malik , Ashis K. Sen

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…

Fluid Dynamics · Physics 2020-06-18 Tanmay C. Inamdar , Xiaojia Wang , Ivan C. Christov

Experiments have shown that flow in compliant microchannels can become unstable at a much lower Reynolds number than the corresponding flow in a rigid conduit. Therefore, it has been suggested that the wall's elastic compliance can be…

Fluid Dynamics · Physics 2022-10-25 Xiaojia Wang , Ivan C. Christov

The flow behavior of blood in microvessels is directly associated with tissue perfusion and oxygen delivery. Current efforts on modeling blood flow have primarily focused on the flow properties of blood with red blood cells (RBCs) having a…

Soft Condensed Matter · Physics 2024-06-03 Wei Chien , Gerhard Gompper , Dmitry A. Fedosov

In this work, the friction factor for steady periodically developed flow through micro-and mini-channels with periodic arrays of offset strip fins is analyzed. The friction factor is studied numerically on a unit cell of the array for…

Fluid Dynamics · Physics 2021-10-18 Arthur Vangeffelen , Geert Buckinx , Maria Rosaria Vetrano , Martine Baelmans

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…

Fluid Dynamics · Physics 2025-07-28 Nataly Maroundik , Dotan Ilssar , Evgeniy Boyko

Flow matching has recently emerged as a powerful alternative to diffusion models, providing a continuous-time formulation for generative modeling and representation learning. Yet, we show that this framework suffers from a fundamental…

Machine Learning · Computer Science 2025-09-26 Weili Zeng , Yichao Yan

Due to their nature, using shear thickening fluids (STFs) in engineering applications has sparked an interest in developing energy-dissipating systems, such as damping devices or shock absorbers. The Rheinforce technology allows the design…

Fluid Dynamics · Physics 2023-12-27 Miguel Montenegro , Francisco J. Galindo-Rosales

Incompressible fluids in microfluidic networks with non-rigid channels can exhibit flow rate oscillations analogous to electric current oscillations in RLC circuits. This is due to the elastic deformation of channel walls that can store and…

Fluid Dynamics · Physics 2025-05-08 Yanxuan Shao , Jean-Regis Angilella , Adilson Motter

Superfluid flow past a potential barrier is a well studied problem in ultracold Bose gases, however, fewer studies have considered the case of flow through a disordered potential. Here we consider the case of a superfluid flowing through a…

Quantum Gases · Physics 2022-03-01 R. Doran , A. J. Groszek , T. P. Billam

This work is concerned with the numerical investigation of the dynamics of stopping vortex formation in the uniform flow past a wedge mounted on a wall for channel Reynolds number $Re_c=1560$. The streamfunction-vorticity ($\psi$-$\omega$)…

Fluid Dynamics · Physics 2024-05-06 Jiten C Kalita

Experimental and numerical investigations are performed to provide an assessment of the transport behavior of an ultrasonic oscillatory two-phase flow in a microchannel. The work is inspired by the flow observed in an innovative ultrasonic…

Fluid Dynamics · Physics 2021-03-31 Zhaokuan Lu , Eric D. Dupuis , Viral K. Patel , Ayyoub M. Momen , Shima Shahab

In this paper we report a novel inertial instability that occurs in electro-osmotically driven channel flows. We assume that the charge motion under the influence of an externally applied electric field is confined to a small vicinity of…

Fluid Dynamics · Physics 2018-06-13 Alexander Morozov , Davide Marenduzzo , Ronald G. Larson

We study the turbulent square duct flow of dense suspensions of neutrally-buoyant spherical particles. Direct numerical simulations (DNS) are performed in the range of volume fractions $\phi=0-0.2$, using the immersed boundary method (IBM)…

Fluid Dynamics · Physics 2018-08-15 Walter Fornari , Hamid Tabaei Kazerooni , Jeanette Hussong , Luca Brandt

Three isoperimetric results are treated. (i) At a given pressure gradient, for all channels with given (cross-sectional) area that which maximises the steady flow $Q_{\rm steady}$ has a circular cross-section. (ii) Consider flows starting…

Analysis of PDEs · Mathematics 2016-10-31 Grant Keady , Benchawan Wiwatanapataphee

We study flow driven through a finite-length planar rigid channel by a fixed upstream flux, where a segment of one wall is replaced by a pre-stressed elastic beam subject to uniform external pressure. The steady and unsteady systems are…

Fluid Dynamics · Physics 2021-11-24 Danyang Wang , Xiaoyu Luo , Peter S. Stewart

In this work, we used a coupled level set and volume of fluid (CLSVOF) computational method for studying the generation of microdroplets in a two dimensional circular co-flow microfluidic device. The fundamental understanding of shear…

Fluid Dynamics · Physics 2025-07-17 Manohar Jammula , Somasekhara Goud Sontti