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We study the two-dimensional stationary Navier-Stokes equations describing flows around a rotating disk. The existence of unique solutions is established for any rotating speed, and qualitative effects of a large rotation are described…

偏微分方程分析 · 数学 2017-10-04 Isabelle Gallagher , Mitsuo Higaki , Yasunori Maekawa

In cylindrical domain, we consider the nonstationary flow with prescribed inflow and outflow, modelled with Navier-Stokes equations under the slip boundary conditions. Using smallness of some derivatives of inflow function, external force…

偏微分方程分析 · 数学 2015-05-27 Joanna Renclawowicz , Wojciech M. Zajaczkowski

The present study reports comprehensive bifurcation analysis of flow past a rotating cylinder at a fixed rotation rate by varying free-stream Reynolds number ($Re_{\infty}$) from 1000-6000 in intervals of 50. Two-dimensional compressible…

流体动力学 · 物理学 2025-11-05 Aditi Sengupta , Santosh Kumar , Sanjeev Kumar

We study numerically the two-dimensional flow past a circular cylinder as a prototypical transitional flow, and investigate the influence of a generic slip boundary condition on the wake dynamics. We show that slip significantly delays the…

流体动力学 · 物理学 2009-09-15 Dominique Legendre , Eric Lauga , Jacques Magnaudet

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,…

流体动力学 · 物理学 2013-10-25 Rémi Gautier , Damien Biau , Eric Lamballais

This paper analyzes the adjoint solution of the Navier-Stokes equation. We focus on flow across a circular cylinder at three Reynolds numbers, Re_D=20, 100 and 500. The quantity of interest in the adjoint formulation is the drag on the…

流体动力学 · 物理学 2015-03-20 Qiqi Wang , Junhui Gao

The present study investigates the passive flow control phenomena over a two-dimensional circular cylinder using numerical simulations in the laminar regime. The aim is to explore one of the passive control techniques, which involves the…

流体动力学 · 物理学 2021-02-03 Alok Mishra , Mohd. Hanzla , Ashoke De

A new analytical criterion that captures the onset of separation of flow past elliptic cylinders is derived by considering the variation of the wall normal velocity in Reynolds number parameter space. It is shown that this criterion can be…

流体动力学 · 物理学 2007-05-23 Kaushik Srinivasan

We study the two-dimensional stationary Navier-Stokes equations describing the flows around a rotating obstacle. The unique existence of solutions and their asymptotic behavior at spatial infinity are established when the rotation speed of…

偏微分方程分析 · 数学 2018-01-17 Mitsuo Higaki , Yasunori Maekawa , Yuu Nakahara

We study the steady streaming between two infinitely long circular cylinders produced by small amplitude transverse vibrations of the inner cylinder about the axis of the outer cylinder. The Vishik-Lyusternik method is employed to construct…

流体动力学 · 物理学 2010-11-24 K. Ilin , M. A. Sadiq

In this work, we study the flow in curved channels, an archetypal configuration that allows insights into problems featuring turbulence bounded by curved walls. Besides its relevance to many engineering applications, it exhibits a rich…

流体动力学 · 物理学 2025-03-19 Giulio Soldati , Paolo Orlandi , Sergio Pirozzoli

Experimental investigations of the exit dynamics of a horizontal cylindrical object were performed in water and silicone oil (50 cSt). The fully immersed cylinder was initially at rest in a still fluid tank before being pushed (or pulled…

We study the flow dynamics inside a high-speed rotating cylinder after introducing strong symmetry-breaking disturbance factors at cylinder wall motion. We propose and formulate a mathematically robust stochastic model for the rotational…

流体动力学 · 物理学 2021-03-04 Ali Akhavan-Safaei , S. Hadi Seyedi , Mohsen Zayernouri

In this article, three-dimensional (3D) lid-driven flows in semicircular cavities are studied. The numerical solution of the Navier-Stokes equations modeling incompressible viscous fluid flow in cavities is obtained via a methodology…

流体动力学 · 物理学 2024-04-25 Tsorng-Whay Pan , Ang Li , Shang-Huan Chiu

Depth averaged conservation equations are written for granular surface flows. Their application to the study of steady surface flows in a rotating drum allows to find experimentally the constitutive relations needed to close these equations…

凝聚态物理 · 物理学 2016-02-26 D. Bonamy , F. Daviaud , L. Laurent

Numerical simulation of fluids plays an essential role in modeling many physical phenomena, such as weather, climate, aerodynamics and plasma physics. Fluids are well described by the Navier-Stokes equations, but solving these equations at…

流体动力学 · 物理学 2022-04-27 Dmitrii Kochkov , Jamie A. Smith , Ayya Alieva , Qing Wang , Michael P. Brenner , Stephan Hoyer

This study investigates the impact of elasticity and plasticity on two-dimensional flow past a circular cylinder at Reynolds number $Re = 100$. Ten direct numerical simulations were performed using the Saramito-Herschel-Bulkley model to…

The simulation of fluid flow problems, specifically incompressible flows governed by the Navier-Stokes equations (NSE), holds fundamental significance in a range of scientific and engineering applications. Traditional numerical methods…

计算物理 · 物理学 2024-09-10 Abdullah Abukhwejah , Pankaj Jagad , Ravi Samtaney , Peter Schmid

The problems of numerical modeling of viscous incompressible fluid flows are widely considered in computational fluid dynamics. Stationary solutions of boundary value problems for the Navier-Stokes equations exist at large Reynolds numbers,…

数值分析 · 数学 2024-10-30 D. V. Lomasov , P. N. Vabishchevich

The Navier boundary condition for velocity slip on flat surfaces, when expressed in tensor form, is readily extended to surfaces of any shape. We test this assertion using molecular dynamics simulations of flow in channels with flat and…

软凝聚态物质 · 物理学 2015-06-17 Weikang Chen , Rui Zhang , Joel Koplik