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Transitional pipe flow is modeled as a one-dimensional excitable and bistable medium. Models are presented in two variables, turbulence intensity and mean shear, that evolve according to established properties of transitional turbulence. A…

Fluid Dynamics · Physics 2015-03-17 Dwight Barkley

An analytical theory is developed to describe the dynamics of a closed lipid bilayer membrane (vesicle) freely suspended in a general linear flow. Considering a nearly spherical shape, the solution to the creeping-flow equations is obtained…

Biological Physics · Physics 2009-11-13 Petia M. Vlahovska , Ruben Serral Gracia

In this dissertation two-dimensional buoyancy-driven flows are investigated. While usually the Navier-Stokes equations are equipped with no-slip boundary conditions here we focus on the Navier-slip conditions that, depending on the system…

Analysis of PDEs · Mathematics 2024-09-25 Fabian Bleitner

Separated flows past complex geometries are modelled by discrete vortex techniques. The flows are assumed to be rotational and inviscid, and a new technique is described to determine the streamfunctions for linear shear profiles. The…

chao-dyn · Physics 2007-05-23 P. Franzese , L. Zannetti

We study experimentally the interfacial instability between a layer of dilute polymer solution and water flowing in a thin capillary. The use of microfluidic devices allows us to observe and quantify in great detail the features of the…

Fluid Dynamics · Physics 2015-05-20 Oriane Bonhomme , Alexander Morozov , Jacques Leng , Annie Colin

A physical model of a three-dimensional flow of a viscous bubbly fluid in an intermediate regime between bubble formation and breakage is presented. The model is based on mechanics and thermodynamics of a single bubble coupled to the…

Fluid Dynamics · Physics 2019-01-08 Ryan J. Thiessen , Alexei F. Cheviakov

A wide range of techniques exist for extracting the dominant flow dynamics and features about steady, or periodic base flows. However, there have been limited efforts in extracting the dominant dynamics about unsteady, aperiodic base flow.…

Fluid Dynamics · Physics 2025-06-05 Alec J. Linot , Barbara Lopez-Doriga , Yonghong Zhong , Kunihiko Taira

We examine transient axial creeping flow in the annular gap between a rigid cylinder and a concentric elastic tube. The gap is initially filled with a thin fluid layer. The study focuses on viscous-elastic time-scales for which the rate of…

Fluid Dynamics · Physics 2016-11-03 Shai B. Elbaz , Amir D. Gat

We prove a weak-strong uniqueness principle for varifold-BV solutions to planar multiphase mean curvature flow beyond a circular topology change: Assuming that there exists a classical solution with an interface that becomes increasingly…

Analysis of PDEs · Mathematics 2024-04-04 Julian Fischer , Sebastian Hensel , Alice Marveggio , Maximilian Moser

A streamwise-constant model is presented to investigate the basic mechanisms responsible for the change in mean flow occuring during pipe flow transition. Using a single forced momentum balance equation, we show that the shape of the…

Fluid Dynamics · Physics 2015-05-27 Jean-Loup Bourguignon , Beverley J. McKeon

The results of the flow structure visualization experiments conducted on the surface of a single bubble streamlined by uniform flow are presented. It is shown that, at certain critical values for bubble size, flow velocity, and…

Fluid Dynamics · Physics 2021-08-04 Anastasia Shmyrova , Andrey Shmyrov

The existence and dynamical role of particular unstable Navier-Stokes solutions (exact coherent structures) is revealed in laboratory studies of weak turbulence in a thin, electromagnetically-driven fluid layer. We find that the dynamics…

Chaotic Dynamics · Physics 2018-08-01 Balachandra Suri , Jeffrey Tithof , Roman O. Grigoriev , Michael F. Schatz

Turbulence in the flow of fluid through a pipe can be suppressed by buoyancy forces. As the suppression of turbulence leads to severe heat transfer deterioration, this is an important and undesirable phenomenon in both heating and cooling…

Fluid Dynamics · Physics 2021-07-01 Elena Marensi , Shuisheng He , Ashley P. Willis

The elastoviscoplastic yield-stress fluid flows in a horizontal straight tube and a bended tube have been investigated using hydrogen bubble visualization method. The experimental results are used to verify the empirical Herschel-Bulkley…

Fluid Dynamics · Physics 2019-03-27 Mingjun Li , Miaorong Du , Hiroshi Yamaguchi , Xiao-Dong Niu , Hiroki Nakakoji

The stability of a two-dimensional viscous flow between two rotating porous cylinders is studied. The basic steady flow is the most general rotationally-invariant solution of the Navier-Stokes equations in which the velocity has both radial…

Fluid Dynamics · Physics 2015-06-18 Konstantin Ilin , Andrey Morgulis

Gravitational and hydrodynamical perturbations are analysed in a relativistic plasma containing a mixture of interacting fluids characterized by a non-negligible bulk viscosity coefficient. The energy-momentum transfer between the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Massimo Giovannini

Motivated by the need to better understand flow unsteadiness in hydraulic turbines, we perform a local linear stability and adjoint-based sensitivity analysis of the turbulent swirling jet at the outlet of a Francis turbine. We use measured…

Fluid Dynamics · Physics 2026-02-11 Lester Corpin Toledo , Artur Gesla , Eunok Yim

The flow of liquid metal inside the Earth's core produces the geomagnetic field and its time variations. Understanding the variability of those deep currents is crucial to improve the forecast of geomagnetic field variations, which affect…

Geophysics · Physics 2014-12-02 Alexandra Pais , Anna Morozova , Nathanaël Schaeffer

The vertical heated-pipe is widely used in thermal engineering applications, as buoyancy can help drive a flow, but several flow regimes are possible: shear-driven turbulence, laminarised flow, and convective turbulence. Steady velocity…

Fluid Dynamics · Physics 2025-09-24 Shijun Chu , Elena Marensi , Ashley P. Willis

We are concerned with a model describing the motion of two compressible, immiscible fluids with density-dependent viscosity in the whole $\mathbb R^3$. The phases of the flow may have different pressure and viscosity laws and are separated…

Analysis of PDEs · Mathematics 2025-10-14 Marcel Zodji