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A residual-based lubrication method is used in this paper to find the flow rate and pressure field in converging-diverging rigid tubes for the flow of time-independent category of non-Newtonian fluids. Five converging-diverging prototype…

Fluid Dynamics · Physics 2015-03-26 Taha Sochi

The popular demonstration involving a permanent magnet falling through a conducting pipe is treated as an axially symmetric boundary value problem. Specifically, Maxwell's equations are solved for an axially symmetric magnet moving…

Classical Physics · Physics 2009-11-10 M. Hossein Partovi , Eliza J. Morris

In novel ultra-pure materials electrons can form a viscous fluid, which is fundamentally different by its dynamics from the electron gas in ordinary conductors with significant density of defects. The shape of the non-stationary flow of…

Mesoscale and Nanoscale Physics · Physics 2022-07-28 A. N. Afanasiev , P. S. Alekseev , A. A. Danilenko , A. A. Greshnov , M. A. Semina

The equations governing the flow of a viscous incompressible fluid around a rigid body that performs a prescribed time-periodic motion with constant axes of translation and rotation are investigated. Under the assumption that the period and…

Analysis of PDEs · Mathematics 2019-12-12 Thomas Eiter , Mads Kyed

A flexible membrane deforming its shape in time can self-propel in a viscous fluid. Alternatively, if the membrane is anchored, its deformation will lead to fluid transport. Past work in this area focused on situations where the deformation…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Eric Lauga

We study the nonequilibrium dynamics of line liquids as realized in the nonlinear motion of flux lines of a superconductor driven by an applied electric current. Our analysis suggests a transition in the dynamics of the lines from a smooth,…

Condensed Matter · Physics 2009-10-22 Terence Hwa

The flow of power law fluids, which include shear thinning and shear thickening as well as Newtonian as a special case, in networks of interconnected elastic tubes is investigated using a residual based pore scale network modeling method…

Fluid Dynamics · Physics 2015-04-27 Taha Sochi

In this paper we outline methods for calculating the pressure field inside flow conduits in the one-dimensional flow models where the pressure is dependent on the axial coordinate only. The investigation is general with regard to the tube…

Fluid Dynamics · Physics 2013-12-10 Taha Sochi

We analyze the operation of a molecular machine driven by the non-adiabatic variation of external parameters. We derive a formula for the integrated flow from one configuration to another, obtain a "no-pumping theorem" for cyclic processes…

Statistical Mechanics · Physics 2008-10-08 Saar Rahav , Jordan Horowitz , Christopher Jarzynski

Chiral fluids - such as fluids under rotation or a magnetic field as well as synthetic and biological active fluids - flow in a different way than ordinary ones. Due to symmetries broken at the microscopic level, chiral fluids may have…

Soft Condensed Matter · Physics 2024-09-04 Tali Khain , Michel Fruchart , Colin Scheibner , Thomas A. Witten , Vincenzo Vitelli

The unsteady electrorotation of a drop of a viscous weakly conducting polarizable liquid suspended in another viscous weakly conducting polarizable liquid immiscible with the former in an applied constant uniform electric field is…

Fluid Dynamics · Physics 2017-10-11 Alexander N. Tyatyushkin

Long, flexible fibers transported by a turbulent channel flow sample non-linear variations of the fluid velocity along their length. As the fibers tumble and collide with the boundaries, they bounce off with an impulse that propels them…

Fluid Dynamics · Physics 2023-04-20 Jeremie Bec , Christophe Brouzet , Christophe Henry

Conventionally, a microscopic particle that performs a reciprocal stroke cannot move through its environment. This is because at small scales, the response of simple Newtonian fluids is purely viscous and flows are time-reversible. We show…

Fluid Dynamics · Physics 2012-08-21 Nathan C. Keim , Mike Garcia , Paulo E. Arratia

The steady streaming flow pattern caused by a no-slip sphere oscillating in an unbounded viscous incompressible fluid is calculated exactly to second order in the amplitude. The pattern depends on a dimensionless scale number, determined by…

Fluid Dynamics · Physics 2023-07-19 B. U. Felderhof

A detailed experimental and theoretical study has been performed about a phenomenon, not previously reported in the literature, occurring in highly viscous liquids: the formation of a definite pipe structure induced by the passage of a…

Chemical Physics · Physics 2009-01-09 V. Capano , S. Esposito , G. Salesi

Bulk rheological properties of viscoelastic fluids have been extensively studied in macroscopic shearing geometries. However, little is known when an active microscopic probe is used to locally perturb them far from the linear-response…

Soft Condensed Matter · Physics 2014-12-17 Juan Ruben Gomez-Solano , Clemens Bechinger

An experimental and computational investigation of the internal flow of elastoviscoplastic fluids over non-smooth topologies is presented in two complimentary studies. In the first study, we visualize the creeping flow of a Carbopol gel…

Fluid Dynamics · Physics 2023-08-17 Miguel E. Villalba , Masoud Daneshi , Emad Chaparian , D. Mark Martinez

We calculate the average volumetric flux versus pressure drop of bubbles moving in a single capillary tube with varying diameter, finding a square-root relation from mapping the flow equations onto that of a driven overdamped pendulum. The…

Fluid Dynamics · Physics 2013-08-09 Santanu Sinha , Alex Hansen , Dick Bedeaux , Signe Kjelstrup

Recent experiments on active materials, such as dense bacterial suspensions and microtubule-kinesin motor mixtures, show a promising potential for achieving self-sustained flows. However, to develop active microfluidics it is necessary to…

Soft Condensed Matter · Physics 2019-01-23 Santhan Chandragiri , Amin Doostmohammadi , Julia M Yeomans , Sumesh P Thampi

We study the buckling of a clamped beam immersed in a creeping flow within a rectangular channel. Via a combination of precision experiments, simulations, and theoretical modeling, we show how the instability depends on a pressure feedback…

Soft Condensed Matter · Physics 2024-07-19 Hemanshul Garg , Pier Giuseppe Ledda , Jon Skov Pedersen , Matteo Pezzulla