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We propose a novel multiple-scale spatial marching method for flows with slow streamwise variation. The key idea is to couple the boundary region equations, which govern large-scale flow evolution, with local exact coherent structures that…

Fluid Dynamics · Physics 2026-01-14 Runjie Song , Kengo Deguchi

Viscous streaming flows generated by objects of constant curvature (circular cylinders, infinite plates) have been well understood. Yet, characterization and understanding of such flows when multiple body length-scales are involved has not…

Fluid Dynamics · Physics 2020-07-08 Yashraj Bhosale , Tejaswin Parthasarathy , Mattia Gazzola

The instability of non-homoentropic axisymmetric flow of perfect fluid with respect to non-axisymmetric infinitesimal perturbations was investigated by numerical integration of hydrodynamical differential equations in two-dimensional…

Astrophysics · Physics 2009-11-13 V. V. Zhuravlev , N. I. Shakura

We investigate the steady self-propelled motion of a rigid body immersed in a three-dimensional incompressible viscous fluid governed by the Navier-Stokes equations. The analysis is performed in a body-fixed reference frame, so that the…

Analysis of PDEs · Mathematics 2026-01-01 Sarka Necasova , Arnab Roy , Ana Leonor Silvestre

In a world without inertia, Purcell's scallop theorem states that in a Newtonian fluid a time-reversible motion cannot produce any net force or net flow. Here we consider the extent to which the nonlinear rheological behavior of…

Fluid Dynamics · Physics 2010-04-09 On Shun Pak , Eric Lauga

Locally broken symmetries are used across fields to transport matter, particles and information in preferential directions. Beyond local mechanisms, spatially distributed nonlinearities in crystalline media have enabled non-reciprocal…

Soft Condensed Matter · Physics 2026-03-31 Aaron Winn , Justine Parmentier , Eleni Katifori , Martin Brandenbourger

Hydrodynamic forces acting on a neutrally-buoyant spherical particle immersed in a wall-bounded axisymmetric stagnation point flow (Hiemenz-Homann flow) are predicted, based on a suitable form of the reciprocal theorem. An approximate…

Fluid Dynamics · Physics 2020-11-24 Jacques Magnaudet , Micheline Abbas

We propose a scheme of acoustic spherical cloaking by means of background irrotational flow in compressible fluid. The background flow forms a virtual curved spacetime and guides the sound waves bypass the cloaked objects. To satisfy the…

Classical Physics · Physics 2016-08-24 Ruo-Yang Zhang , Qing Zhao , Mo-Lin Ge

This paper shows a method of symmetrization of an asymmetric flow of a vis-cous incompressible fluid in a flat diffuser using a weak periodic vibration ef-fect on the velocity input flow. The results are obtained for a viscous…

Fluid Dynamics · Physics 2023-09-22 Alexey Fedyushkin , Arthur Puntus

Molecular dynamic (MD) simulation is used to study slip at the fluid-solid boundary in an unsteady flow based on the Stokes second problem. An increase in slip is observed in comparison to the steady flow for shear rates below the critical…

Fluid Dynamics · Physics 2015-06-05 Joseph John Thalakkottor , Kamran Mohseni

A stable added-mass partitioned (AMP) algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and compressible elastic solids. Deforming composite grids are used to effectively handle the…

Numerical Analysis · Mathematics 2019-10-23 Daniel A. Serino , Jeffrey W. Banks , William D. Henshaw , Donald W. Schwendeman

The equation governing the streaming of a quantity down its gradient superficially looks similar to the simple constant velocity advection equation. In fact, it is the same as an advection equation if there are no local extrema in the…

High Energy Astrophysical Phenomena · Physics 2015-03-13 Prateek Sharma , Phillip Colella , Daniel F. Martin

We report on the experimental study of axisymmetric gravity-capillary standing waves generated by a vertically vibrating ring partially immersed into a fluid. Different regimes of standing waves are highlighted at the basin center depending…

Fluid Dynamics · Physics 2023-01-11 Jules Fillette , Stéphan Fauve , Eric Falcon

We numerically investigate, through discrete element simulations, the steady flow of identical, frictionless spheres sheared between two parallel, bumpy planes in the absence of gravity and under a fixed normal load. We measure the spatial…

Soft Condensed Matter · Physics 2024-07-25 Dalila Vescovi , Astrid S. de Wijn , Graham L. W. Cross , Diego Berzi

We present the derivation of a new unidirectional model for We present the derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipes. We introduce a local reference frame to take into account the…

Analysis of PDEs · Mathematics 2010-06-02 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

We consider the simulation of isentropic flow in pipelines and pipe networks. Standard operating conditions in pipe networks suggest an emphasis to simulate low Mach and high friction regimes -- however, the system is stiff in these regimes…

Numerical Analysis · Mathematics 2025-07-22 Michael Redle , Michael Herty

Inferring the evolution of high-dimensional and multi-modal (e.g., spatio-temporal) physical fields from irregular sparse measurements in real time is a fundamental challenge in science and engineering. Existing approaches, including…

Machine Learning · Computer Science 2026-05-12 Panqi Chen , Yifan Sun , Shikai Fang , Xiao Fu , Lei Cheng

We develop a model for steady, laminar boundary layers over small-scale textured surfaces. Although the texture is small relative to the boundary-layer thickness, it modifies the flow via a slip length. We use matched asymptotic expansions…

Fluid Dynamics · Physics 2026-02-27 Samuel D. Tomlinson , Demetrios T. Papageorgiou

In this paper, we formulated the non-steady flow due to the uniformly accelerated and rotating circular cylinder from rest in a stationary, viscous, incompressible and micropolar fluid. This flow problem is examined numerically by adopting…

Fluid Dynamics · Physics 2016-04-25 Abuzar Abid Siddiqui

The primary bifurcation of the flow past three-dimensional axisymmetric bodies is investigated. We show that the azimuthal vorticity generated at the body surface is at the root of the instability, and that the mechanism proposed by…

Fluid Dynamics · Physics 2025-04-28 A. Chiarini , R. Gauthier , E. Boujo
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