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A parametric numerical study of three-dimensional instability of steady flows in a helical pipe of arbitrary curvature and torsion is carried out. The computations are performed by a numerical approach verified against independent…

流体动力学 · 物理学 2020-11-04 Alexander Gelfgat

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

流体动力学 · 物理学 2020-04-09 Alexander Gelfgat , Neima Brauner

We present linear stability analysis for a simple model of particle-laden pipe flow. The model consists of a continuum approximation for the particles two-way coupled to the fluid velocity field via Stokes drag (Saffman 1962). We extend…

流体动力学 · 物理学 2019-05-22 Anthony Rouquier , Alban Potherat , Chris Pringle

We consider the stability of a system of equations which are a singular perturbation of the incompressible rigid-plastic flow equations used to model granular flow. A linear stability analysis shows that solutions of these equations are…

软凝聚态物质 · 物理学 2007-05-23 Shaun Hendy

Although the critical Reynolds number for linear instability of the laminar flow in a straight pipe is infinite, we show that it is finite for a divergent pipe, and approaches infinity as the inverse of the divergence angle. The velocity…

流体动力学 · 物理学 2021-01-29 Kirti Chandra Sahu , Rama Govindarajan

A computational study of three-dimensional instability of steady flows in a helical pipe of arbitrary curvature and torsion is carried out for the first time. The problem is formulated in Germano coordinates in two equivalent but different…

流体动力学 · 物理学 2019-08-29 Alexander Gelfgat

A modal stability analysis shows that pressure-driven pipe flow of an Oldroyd-B fluid is linearly unstable to axisymmetric perturbations, in stark contrast to its Newtonian counterpart which is linearly stable at all Reynolds numbers. The…

流体动力学 · 物理学 2020-12-09 Indresh Chaudhary , Piyush Garg , Ganesh Subramanian , Viswanathan Shankar

In this paper, the stability of inviscid parallel flow between two parallel walls is studied. Firstly, it is obtained that the profile of the base flow for this classical problem is a uniform flow. Secondly, it is shown that the solution of…

流体动力学 · 物理学 2011-03-08 Hua-Shu Dou

This work deals with stability of two-phase stratified air-water flows in horizontal circular pipes. For this purpose, we performed a linear stability analysis, which considers all possible three-dimensional infinitesimal disturbances and…

流体动力学 · 物理学 2025-06-17 Ilya Barmak , Alexander Gelfgat , Neima Brauner

We study two-phase stratified flow where the bottom layer is a thin laminar liquid and the upper layer is a fully-developed gas flow. The gas flow can be laminar or turbulent. To determine the boundary between convective and absolute…

流体动力学 · 物理学 2012-08-06 Lennon O. Naraigh , Peter D. M. Spelt , Stephen J. Shaw

We study the instability of a dusty simple shear flow where the dust particles are distributed non-uniformly. A simple shear flow is modally stable to infinitesimal perturbations. Also, a band of particles remains unaffected in the absence…

流体动力学 · 物理学 2024-05-10 Anu V. S. Nath , Anubhab Roy , M. Houssem Kasbaoui

The stability of the interface separating two immiscible incompressible fluids of different densities and viscosities is considered in the case of fluids filling a cavity which performs horizontal harmonic oscillation. There exists a simple…

流体动力学 · 物理学 2009-10-31 Mikhail V. Khenner , Dmitrii V. Lyubimov , Tatyana S. Belozerova , Bernard Roux

In a recent article (Forterre, PRL, 2001), we have reported a new instability observed in rapid granular flows down inclined planes that leads to the spontaneous formation of longitudinal vortices. From the experimental observations, we…

软凝聚态物质 · 物理学 2009-11-07 Yoel Forterre , Olivier Pouliquen

This work analyses the dynamical properties of periodically-driven band models. Focusing on the case of Bose-Einstein condensates, and using a meanfield approach to treat inter-particle collisions, we identify the origin of dynamical…

量子气体 · 物理学 2017-05-10 S. Lellouch , M. Bukov , E. Demler , N. Goldman

This paper addresses the stability of plane Couette flow in the presence of strong density and viscosity stratifications. It demonstrates the existence of a generalised inflection point that satisfies the generalised Fjortoft's criterion of…

流体动力学 · 物理学 2024-06-13 B. Bugeat , P. C. Boldini , A. M. Hasan , R. Pecnik

The stability of two-dimensional diverging and converging flows in an annulus between two permeable cylinders is examined. The basic flow is irrotational and has both the radial and azimuthal components. It is shown that for a wide range of…

流体动力学 · 物理学 2012-11-27 Konstantin Ilin , Andrey Morgulis

Simple analytical criteria are derived to determine whether axisymmetric base flows in annuli and pipes are stable or unstable. Both axisymmetric and non-axisymmetric inviscid disturbances are considered. Our sufficient condition for…

流体动力学 · 物理学 2026-05-20 Kengo Deguchi , Haider Munawar , Runjie Song

The stability of a flow of an electrically conducting, incompressible fluid in a channel with an imposed uniform wall-normal magnetic field and electrically insulating walls is studied using linear stability analysis and direct numerical…

流体动力学 · 物理学 2025-12-23 Roman Okatev , Oleg Zikanov , Dmitry Krasnov , Peter Frick

Depending on the involved physiobiological parameters, stable or unstable behavior in active fluids is observed. In this paper a rigorous analytical justification of (in-)stability within the corresponding regimes is given. In particular,…

偏微分方程分析 · 数学 2023-08-03 Christiane Bui , Christian Gesse , Jürgen Saal

Flow instability and turbulent transition can be well explained using a new proposed theory--Energy gradient theory [1]. In this theory, the stability of a flow depends on the relative magnitude of energy gradient in streamwise direction…

流体动力学 · 物理学 2007-05-23 Hua-Shu Dou
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