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In this paper, we study the nonlinear stability of a steady circular flow created between two rotating concentric cylinders. The dynamics of the viscous fluid are described by 2D Navier-Stokes equations. We adopt scaling variables. For the…

偏微分方程分析 · 数学 2022-01-03 Xinliang An , Taoran He , Te Li

We provide a integration of Navier-Stokes equations concerning the unsteady-state laminar flow of an incompressible, isothermal (newtonian) fluid in a cylindrical vessel spinning about its symmetry axis, say $z$, and inside which the liquid…

流体动力学 · 物理学 2016-12-14 Alessio Bocci , Giovanni Mingari Scarpello , Daniele Ritelli

In the continuum flow regime, the Navier-Stokes equations are usually used for the description of gas dynamics. On the other hand, the Boltzmann equation is applied for the rarefied gas dynamics. Both equations are constructed from modeling…

流体动力学 · 物理学 2017-03-08 Kun Xu , Chang Liu

A plane non-parallel vortex flow in a square fluid domain is examined. The energy dissipation of the flow is dominated by viscosity and linear friction effect of a Hartmann layer. This is a traditional Navier-Stokes flow when the linear…

偏微分方程分析 · 数学 2021-09-28 Zhi-Min Chen

The flow past inline oscillating rectangular cylinders is studied numerically at a Reynolds number representative of two-dimensional flow. A symmetric mode, known as S-II, consisting of a pair of oppositely-signed vortices on each side,…

流体动力学 · 物理学 2010-12-13 Srikanth Toppaladoddi , Harish N Dixit , Rao Tatavarti , Rama Govindarajan

A mathematical model describing the flow of two-phase fluids in a bounded container $\Omega$ is considered under the assumption that the phase transition process is influenced by inertial effects. The model couples a variant of the…

偏微分方程分析 · 数学 2019-06-14 Gianluca Favre , Giulio Schimperna

The effects of cavitation on the flow around a circular-cylinder array are studied by using a molecular dynamics simulation. Cavitation significantly affects on vortex shedding characteristics. As the cavitation develops,the vibration…

流体动力学 · 物理学 2020-02-19 Yuta Asano , Hiroshi Watanabe , Hiroshi Noguchi

This paper numerically investigates the influence of a fixed downstream control cylinder on the flow-induced vibration of an elastically-supported primary cylinder. These two cylinders are situated in a tandem arrangement with small…

流体动力学 · 物理学 2024-05-16 Junlei Wang , Shenfang Li , Daniil Yurchenko , Hongjun Zhu , Chandan Bose

An initial-value problem for arbitrary small 3D vorticity perturbations imposed on a free shear flow is considered. The viscous perturbation equations are then combined in terms of the vorticity and velocity, and are solved by means of a…

流体动力学 · 物理学 2015-03-13 S. Scarsoglio , D. Tordella , W. O. Criminale

The essence of turbulent flow is the conveyance of energy through the formation, interaction, and destruction of eddies over a wide range of spatial scales--from the largest scales where energy is injected, down to the smallest scales where…

The complete flow field surrounding a rotating cylinder is calculated by solving the Navier-Stokes equations using the finite difference method. The numerical simulation is performed on a transformed rectilinear grid, with axes representing…

计算物理 · 物理学 2018-10-25 Alan Hsu , Fei Liu

Cavitating flow over a circular cylinder is investigated over a range of cavitation numbers for both laminar and turbulent regimes. We observe non-cavitating, cyclic and transitional cavitation regimes with reduction in freestream $\sigma$.…

流体动力学 · 物理学 2020-02-19 Filipe L. Brandao , Mrugank Bhatt , Krishnan Mahesh

We study well-posedness and asymptotic dynamics of a coupled system consisting of linearized 3D Navier--Stokes equations in a bounded domain and a classical (nonlinear) full von Karman shallow shell equations that accounts for both…

偏微分方程分析 · 数学 2011-12-30 Igor Chueshov , Iryna Ryzhkova

We study the evolution of velocity fluctuations due to an isolated spatio-temporal impulse using the linearized Navier-Stokes equations. The impulse is introduced as an external body force in incompressible channel flow at $Re_\tau=10000$.…

流体动力学 · 物理学 2019-02-20 Sabarish B. Vadarevu , Simon J. Illingworth , Ivan Marusic

Two-dimensional turbulence governed by the so-called $\alpha$ turbulence equations, which include the surface quasi-geostrophic equation ($\alpha=1$), the Navier--Stokes system ($\alpha=2$), and the governing equation for a shallow flow on…

混沌动力学 · 物理学 2007-05-23 Chuong V. Tran

The study of the exchange of momentum and energy between wave components of the turbulent velocity field, the so-called triad interactions, offers a unique way of visualizing and describing turbulence. Most often, this study has been…

流体动力学 · 物理学 2025-02-11 Preben Buchhave , Mengjia Ren , Clara Marika Velte

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…

流体动力学 · 物理学 2022-01-26 Akash Unnikrishnan , Shantanu Shahane , Vinod Narayan , Surya Pratap Vanka

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…

流体动力学 · 物理学 2022-04-06 Alexander Proskurin

This paper numerically investigates the instability characteristics of decelerating flows. The flow dynamics and temporal evolution of coherent structures in a diverging section with mild spatial pressure gradient are analyzed using…

流体动力学 · 物理学 2023-05-30 Ahire Swapnil Ashok , Manu K.

The temporal stability of an inviscid flow through cylindrical geometries with a porous wall subjected to non-axisymmetric perturbations is investigated in the present work using an unsteady Darcy equation for the porous layer. An…

流体动力学 · 物理学 2023-01-06 Ramkarn Patne