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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

Microfluidic systems are now being designed with precision to execute increasingly complex tasks. However, their operation often requires numerous external control devices due to the typically linear nature of microscale flows, which has…

Fluid Dynamics · Physics 2020-05-29 Daniel J. Case , Yifan Liu , Istvan Z. Kiss , Jean-Regis Angilella , Adilson E. Motter

Nonlinear phenomena including multiple equilibria and spontaneous oscillations are common in fluid networks containing either multiple phases or constituent flows. In many systems, such behavior might be attributed to the complicated…

Dynamical Systems · Mathematics 2013-06-26 Nathaniel J. Karst , Brian D. Storey , John B. Geddes

Microfluidics, the study of fluids in microscopic channels, has led to important advances in fields as diverse as microelectronics, biotechnology and chemistry. Microfluidic research is primarily based on the use of microfluidic chips,…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Jorge Vicente Martinez , Edgar Ramirez-Laboreo , Pablo Calderon Gil

Flow networks are essential for both living organisms and enginneered systems. These networks often present complex dynamics controlled, at least in part, by their topology. Previous works have shown that topologically complex networks…

Soft Condensed Matter · Physics 2020-03-24 Miguel Ruiz-Garcia , Eleni Katifori

Inexpensive, portable lab-on-a-chip devices would revolutionize fields like environmental monitoring and global health, but current microfluidic chips are tethered to extensive off-chip hardware. Insects, however, are self-contained and…

When a fluid comprised of multiple phases or constituents flows through a network, non-linear phenomena such as multiple stable equilibrium states and spontaneous oscillations can occur. Such behavior has been observed or predicted in a…

Fluid Dynamics · Physics 2015-06-05 Casey M. Karst , Brian D. Storey , John B. Geddes

We investigate the laminar flow of two-fluid mixtures inside a simple network of inter-connected tubes. The fluid system is comprised of two miscible Newtonian fluids of different viscosity which do not mix and remain as nearly distinct…

Fluid Dynamics · Physics 2015-03-05 Brian D. Storey , Deborah V. Hellen , Nathaniel J. Karst , John B. Geddes

Fluid flows play a central role in scientific and technological development, and many of these flows are characterized by a dominant oscillation, such as the vortex shedding in the wake of nearly all transportation vehicles. The ability to…

Fluid Dynamics · Physics 2021-10-13 Aditya G. Nair , Kunihiko Taira , Bingni W. Brunton , Steven L. Brunton

We report a novel technique to passively create strong secondary flows at moderate to high flow rates in microchannels, accurately control them and finally, due to their deterministic nature, program them into microfluidic platforms. Based…

Fluid Dynamics · Physics 2011-10-20 Hamed Amini , Mahdokht Masaeli , Dino Di Carlo

Free-surface electrokinetic flows have been attracting increasing attention from the research community over recent times, as attributable to their diverse fields of applications ranging from fluid mixing, particle manipulation to…

Fluid Dynamics · Physics 2018-08-22 Golak Kunti , Jayabrata Dhar , Anandaroop Bhattachariya , Suman Chakraborty

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…

Fluid Dynamics · Physics 2026-01-14 Anxu Huang , Shrihari D. Pande , Jie Feng , Ivan C. Christov

We analyse mathematical models in order to understand how microstructural features of vascular networks may affect blood-flow dynamics, and to identify particular characteristics that promote the onset of self-sustained oscillations. By…

Quantitative Methods · Quantitative Biology 2022-06-23 Yaron Ben-Ami , George W. Atkinson , Joe M. Pitt-Francis , Philip K. Maini , Helen M. Byrne

Interactions between an internal flow and wall deformation occur in many biological systems. Such interactions can involve a complex and rich dynamical behavior and a number of peculiarities which depend on the flow parameter range. The aim…

Fluid Dynamics · Physics 2019-03-11 Mustapha Amaouche , Giuseppe Di Labbio

Microfluidics involves the manipulation of flows at the microscale, typically requiring external power sources to generate pressure gradients. Alternatively, harnessing flows from active fluids, which are usually chaotic, has been proposed…

Network theory is rapidly changing our understanding of complex systems, but the relevance of topological features for the dynamic behavior of metabolic networks, food webs, production systems, information networks, or cascade failures of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dirk Helbing , Ulrich Witt , Stefan Laemmer , Thomas Brenner

We present experimental evidence of multiple blood flow configurations in a relatively simple microfluidic network under constant inlet conditions. We provide evidence of multistability and unsteady dynamics and find good agreement with a…

Flow networks can describe many natural and artificial systems. We present a model for a flow system that allows for volume accumulation, includes conduits with a non-linear relation between current and pressure difference, and can be…

Soft Condensed Matter · Physics 2021-06-15 Miguel Ruiz-Garcia , Eleni Katifori

Multistability-induced hysteresis has been widely studied in mechanical systems, but such behavior has proven more difficult to reproduce experimentally in flow networks. Natural flow networks like animal and plant vasculature can exhibit…

Soft Condensed Matter · Physics 2025-12-03 Lauren E. Altman , Nadia Aguilar , Douglas J. Durian , Miguel Ruiz-Garcia , Eleni Katifori

Electrolyte-filled channels with modulated wall charge distribution subjected to an applied DC electric field, form time-independent vortices whose sense of circulation is determined by the field direction [Physical Review Letters $…

Fluid Dynamics · Physics 2026-02-02 A. Shrestha , E. Kirkinis , M. Olvera de la Cruz
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