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Reduced-order models have been widely adopted in fluid mechanics, particularly in the context of Newtonian fluid flows. These models offer the ability to predict complex dynamics, such as instabilities and oscillations, at a considerably…

流体动力学 · 物理学 2023-12-05 Cassio M. Oishi , Alan A. Kaptanoglu , J. Nathan Kutz , Steven L. Brunton

Direct numerical simulation is performed to study compressible, viscous flow around a circular cylinder. The present study considers two-dimensional, shock-free continuum flow by varying the Reynolds number between 20 and 100 and the…

流体动力学 · 物理学 2017-05-26 Daniel Canuto , Kunihiko Taira

A transition to unsteadiness of a flow inside a cubic diagonally lid-driven cavity with no-slip boundaries is numerically investigated by a series of direct numerical simulations (DNS) performed on 100^3 and 200^3 stretched grids. It is…

流体动力学 · 物理学 2020-10-22 Yuri Feldman

We use a differential constitutive equation to model the flow of a viscoelastic flow in a cross-slot geometry, which is known to exhibit bistability above a critical flow rate. The novelty lies in two asymmetric modifications to the…

流体动力学 · 物理学 2018-02-19 Kristian Ejlebjerg Jensen , Peter Szabo , Fridolin Okkels

We study the flow of a thixotropic fluid around a cylinder. The rheology of the fluid is described by means of a structural viscoplastic model based on the Bingham constitutive equation, regularised using the Papanastasiou regularisation.…

流体动力学 · 物理学 2017-10-24 Alexandros Syrakos , Georgios C. Georgiou , Andreas N. Alexandrou

In this numerical study, an original approach to simulate non-isothermal viscoelastic fluid flows at high Weissenberg numbers is presented. Stable computations over a wide range of Weissenberg numbers are assured by using the root…

流体动力学 · 物理学 2020-12-09 Stefanie Meburger , Matthias Niethammer , Dieter Bothe , Michael Schäfer

A modal stability analysis shows that plane Poiseuille flow of an Oldroyd-B fluid becomes unstable to a `center mode' with phase speed close to the maximum base-flow velocity, $U_{max}$. The governing dimensionless groups are the Reynolds…

流体动力学 · 物理学 2021-04-07 Mohammad Khalid , Indresh Chaudhary , Piyush Garg , V. Shankar , Ganesh Subramanian

In this study, the OpenFOAM platform, based on the finite volume method, is applied to investigate the two-dimensional viscoelastic flow past a circular cylinder. The FENE-P model, which considers the bounded elongation of polymer…

流体动力学 · 物理学 2022-08-11 Sai Peng , Peng Yu

The Oldroyd-B model has been used extensively to predict a host of instabilities in shearing flows of viscoelastic fluids, often realized experimentally using polymer solutions. The present review, written on the occasion of the birth…

We have implemented the log-conformation method for two-dimensional viscoelastic flow in COMSOL, a commercial high-level finite element package. The code is verified for an Oldroyd-B fluid flowing past a confined cylinder. We are also able…

计算工程、金融与科学 · 计算机科学 2016-04-21 K. E. Jensen , P. Szabo , F. Okkels

We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow versus…

软凝聚态物质 · 物理学 2021-02-10 Dário Oliveira Canossi , Gilmar Mompean , Stefano Berti

Linear stability of solid body rotating flows with axisymmetric density variations is addressed analytically. Considering inviscid disturbances, a non trivial dispersion relation is obtained and it is shown that the instability is of…

流体动力学 · 物理学 2023-08-24 C. Jacques , B. Di Pierro , F. Alizard , M. Buffat , A. Cadiou , L. Le Penven

The linear stability analysis of the pressure-driven flow of an Oldroyd-B fluid through a plane channel is performed to examine the effects of viscous heating-induced buoyancy on the ``purely elastic instability" predicted by…

流体动力学 · 物理学 2025-06-06 Ankush Kamboj , Ramkarn Patne , P. A. L. Narayana , Kirti Chandra Sahu

We investigate the dynamics of the two-dimensional periodic Kolmogorov flow of a viscoelastic fluid, described by the Oldroyd-B model, by means of direct numerical simulations. Above a critical Weissenberg number the flow displays a…

混沌动力学 · 物理学 2015-05-19 S. Berti , G. Boffetta

An oscillatory instability has been observed experimentally on an horizontal cylinder free to move and rotate between two parallel vertical walls of distance H; its characteristics differ both from vortex shedding driven oscillations and…

流体动力学 · 物理学 2013-07-16 Maria Veronica D'Angelo , Jean-Pierre Hulin , Harold Auradou

The dynamics and stability of a fluid-filled hollow cylindrical shell rolling on an inclined plane are analyzed. We study the motion in two dimensions by analyzing the interaction between the fluid and the cylindrical shell. An analytical…

流体动力学 · 物理学 2014-12-02 Rohit B. Supekar , Mahesh V. Panchagnula

This work studies the three-dimensional flow dynamics around a rotating circular cylinder of finite length, whose axis is positioned perpendicular to the streamwise direction. Direct numerical simulations and global stability analyses are…

流体动力学 · 物理学 2023-11-15 Yongliang Yang , Chenglei Wang , Rui Guo , Mengqi Zhang

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

The lid-driven cavity flow is a well-known benchmark problem for the validation of new numerical methods and techniques. In experimental and numerical studies with viscoelastic fluids in such lid-driven flows, purely-elastic instabilities…

流体动力学 · 物理学 2016-03-08 R. G. Sousa , R. J. Poole , A. M. Afonso , F. T. Pinho , P. J. Oliveira , A. Morozov , M. A. Alves

A numerical study of the problem of laminar infinite flow of viscous incompressible fluid around a rotating circular cylinder at Reynolds number $ 50 \le {\rm Re} \le 500 $ and dimensionless rotation rate $ 0 \le \alpha \le 7 $ has been…

流体动力学 · 物理学 2013-12-11 E. I. Kalinin , A. B. Mazo