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The incompressible flow around a circular cylinder, positioned at the center of an unconfined planar counterflow, is studied by means of numerical solutions of the conservation equations and linear stability analysis. The flow is completely…

We study the stationary Navier--Stokes equations in the region between two rotating concentric cylinders. We first prove that, under the small Reynolds number, if the fluid is axisymmetric and if its velocity is sufficiently small in the…

Analysis of PDEs · Mathematics 2025-05-19 Hideo Kozono , Yutaka Terasawa , Yuta Wakasugi

The paper considers a two-dimensional flow in a channel, which consists of straight inlet and outlet branches and a circularly 90-degree curved bend. An incompressible viscous fluid flows through the elbow under the action of a constant…

Fluid Dynamics · Physics 2022-04-06 Alexander Proskurin

Taylor-Couette flow between rotating cylinders is a classical problem in fluid mechanics and has been extensively studied in the case of two concentric circular cylinders. There have been relatively small number of studies in complex-shaped…

Fluid Dynamics · Physics 2024-06-19 Akash Unnikrishnan , Surya Pratap Vanka , Vinod Narayanan

The Reynolds number provides a characterization of the transition to turbulent flow, with wide application in classical fluid dynamics. Identifying such a parameter in superfluid systems is challenging due to their fundamentally inviscid…

Quantum Gases · Physics 2015-04-22 M. T. Reeves , T. P. Billam , B. P. Anderson , A. S. Bradley

This article proposes a Reynolds number scaling of the required grid points to perform wall-modeled LES of turbulent flows encountering separation off a solid surface. Based on comparisons between the various time scales in a…

Fluid Dynamics · Physics 2024-01-02 Rahul Agrawal , Sanjeeb Bose , Parviz Moin

Separation of enantiomers by flows is a promising chiral resolution method using cost-effective microfluidics. Notwithstanding a number of experimental and numerical studies, a fundamental understanding still remains elusive, and an…

Soft Condensed Matter · Physics 2016-11-11 Sunghan Ro , Juyeon Yi , Yong Woon Kim

A particle-based model for mesoscopic fluid dynamics is used to simulate steady and unsteady flows around a circular and a square cylinder in a two-dimensional channel for a range of Reynolds number between 10 and 130. Numerical results for…

Soft Condensed Matter · Physics 2009-11-07 A. Lamura , G. Gompper , T. Ihle , D. M. Kroll

When a chordwise Reynolds number (Re) falls below about $10^5$ the performance of wings and aerodynamic sections become sensitive to viscous phenomena, including boundary layer separation and possible reattachment. Here, detailed…

Fluid Dynamics · Physics 2025-04-21 Charles Klewicki , Bjoern F. Klose , Gustaaf B. Jacobs , Geoffrey R. Spedding

In general, before separating from a boundary, the flow moves toward reverse direction near the boundary against the laminar flow direction. Here in this paper, a clue to such reverse flow phenomena (in the mathematical sense) is observed.…

Analysis of PDEs · Mathematics 2012-06-25 Tsuyoshi Yoneda

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

The evolution with Reynolds number of the dissipation function, normalized by wall variables, is investigated using direct numerical simulation (DNS) databases for incompressible turbulent Poiseuille flow in a plane channel, at friction…

Fluid Dynamics · Physics 2012-11-01 Faouzi Laadhari

Particle-laden turbulent flow that separates due to a bump inside a channel is simulated to analyse the effects of the Stokes number and the lift force on the particle spatial distribution. The fluid friction Reynolds number is…

The flow past a fixed finite-length circular cylinder, the axis of which makes a nonzero angle with the incoming stream, is studied through fully-resolved simulations, from creeping-flow conditions to strongly inertial regimes. The…

Fluid Dynamics · Physics 2021-04-28 Mohammed Kharrouba , Jean-Lou Pierson , Jacques Magnaudet

Flow over bluff bodies has multiple engineering applications and thus, has been studied for decades. The lift and drag coefficients are practically important in the design of many components such as automobiles, aircrafts, buildings etc.…

Fluid Dynamics · Physics 2021-10-29 Shantanu Shahane , Purushotam Kumar , Surya Pratap Vanka

The identification of stream in the straight pipe as a flexible rod has allowed to present the criterion expression for determination of transition of the laminar flow regime to the turbulent as a loss of stability of the rectilinear static…

Fluid Dynamics · Physics 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

The classical problem of the flow over a circular cylinder at Reynolds number 40 is considered using an accurate pseudo-spectral code. A new set of boundary conditions is proposed to improve the representation of the infinite flow domain,…

Fluid Dynamics · Physics 2013-10-25 Rémi Gautier , Damien Biau , Eric Lamballais

Shear-driven flow between a rotating cylinder and a stationary elliptical enclosure is studied in this paper. Two-dimensional time-dependent Navier Stokes equations are solved using a meshless method where interpolations are done with…

Fluid Dynamics · Physics 2022-01-26 Akash Unnikrishnan , Shantanu Shahane , Vinod Narayan , Surya Pratap Vanka

We present an asymptotic theory for analytical characterization of the high-Reynolds-number incompressible flow of a Newtonian fluid past a shear-free circular cylinder. The viscosity-induced modifications to this flow are localized and…

Fluid Dynamics · Physics 2020-11-18 Anuj Kumar , Nidhil Mohamed A. R , Pritam Giri , Ratnesh K. Shukla

At sufficiently high Reynolds numbers, shear-flow turbulence close to a wall acquires universal properties. When length and velocity are rescaled by appropriate characteristic scales of the turbulent flow and thereby measured in \emph{inner…

Fluid Dynamics · Physics 2020-03-18 Sajjad Azimi , Tobias M. Schneider