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An asymptotic interface equation for directional solidification near the absolute stabiliy limit is extended by a nonlocal term describing a shear flow parallel to the interface. In the long-wave limit considered, the flow acts…

凝聚态物理 · 物理学 2009-11-07 Yannick Marietti , Jean-Marc Debierre , Thomas-Michael Bock , Klaus Kassner

In shear flows at transitional Reynolds numbers, localized patches of turbulence, known as puffs, coexist with the laminar flow. Recently, Avila et al., Phys. Rev. Let. 110, 224502 (2013) discovered two spatially localized relative periodic…

流体动力学 · 物理学 2017-09-28 Nazmi Burak Budanur , Björn Hof

This paper concerns the low Mach number limit of weak solutions to the compressible Navier-Stokes equations for isentropic fluids in a bounded domain with a Navier-slip boundary condition. In \cite{DGLM99}, it has been proved that if the…

偏微分方程分析 · 数学 2017-05-04 Xiong Linjie

Plane Couette flow transitions to turbulence for Re~325 even though the laminar solution with a linear profile is linearly stable for all Re (Reynolds number). One starting point for understanding this subcritical transition is the…

流体动力学 · 物理学 2009-11-13 Jonathan Halcrow , John F. Gibson , Predrag Cvitanović , Divakar Viswanath

This paper is concerned with nonlinear stability of viscous contact discontinuity to inflow problem for the one-dimensional full compressible Navier-Stokes equations with different ends in half space $[0,\infty)$. For the case when the…

偏微分方程分析 · 数学 2014-09-22 Tingting Zheng

There are different ways for fluid flow to become turbulent, but usually many instabilities take place before that. Among these instabilities the transition from laminar flow to vortex shedding carries significant practical importance. Here…

软凝聚态物质 · 物理学 2007-05-23 Viktor K. Horváth , J. Rob Cressman , Walter I. Goldburg , Xiao-Lun Wu

In this paper, we establish the inviscid damping and enhanced dissipation estimates for the linearized Navier-Stokes system around the symmetric flow in a finite channel with the non-slip boundary condition. As an immediate consequence, we…

偏微分方程分析 · 数学 2025-10-22 Qi Chen , Hao Li , Shunlin Shen , Zhifei Zhang

The linear stability of a fully-developed liquid-metal MHD pipe flow subject to a transverse magnetic field is studied numerically. Because of the lack of axial symmetry in the mean velocity profile, we need to perform a BiGlobal stability…

流体动力学 · 物理学 2023-05-03 Yelyzaveta Velizhanina , Bernard Knaepen

The first realization of instabilities in the shear flow between two superfluids is examined. The interface separating the A and B phases of superfluid He-3 is magnetically stabilized. With uniform rotation we create a state with…

凝聚态物理 · 物理学 2009-11-07 R. Blaauwgeers , V. B. Eltsov , G. Eska , A. P. Finne , R. P. Haley , M. Krusius , J. J. Ruohio , L. Skrbek , G. E. Volovik

A simple HLLE-type scheme is proposed for all Mach number flows. In the proposed scheme, no extra wave structure is added in the HLLE scheme to resolve the shear wave while the contact wave is resolved by adding a wave structure similar to…

流体动力学 · 物理学 2022-07-15 A. Gogoi , J. C. Mandal

Turbulent spots surrounded by laminar flow are a landmark of transitional shear flows, but the dependence of their kinematic properties on spatial structure is poorly understood. We here investigate this dependence in pipe flow for Reynolds…

流体动力学 · 物理学 2018-01-10 Paul Ritter , Stefan Zammert , Bruno Eckhardt , Marc Avila

Inhomogeneous flows and shear banding are of interest for a range of applications but have been eluding a comprehensive theoretical understanding, mostly due to the lack of a framework comparable to equilibrium statistical mechanics. Here…

统计力学 · 物理学 2025-05-15 Thomas Speck

We examine the fluid flow forced by precession of a rotating cylindrical container using numerical simulations and experimental flow measurements with ultrasonic Doppler velocimetry (UDV). The analysis is based on the decomposition of the…

While tapered swept wings are widely used, the influence of taper on their post-stall wake characteristics remains largely unexplored. To address this issue, we conduct an extensive study using direct numerical simulations to characterize…

This paper discusses the effect of rotation on the boundary layer in high Reynolds number flow over a ridge using a numerical method based on stabilised finite elements that captures steady solutions up to Reynolds number of order $10^6$.…

流体动力学 · 物理学 2024-02-27 Stefan Frei , Erik Burman , Edward R Johnson

We investigate here linear stability in a canonical three-dimensional boundary layer generated by the superposition of a spanwise pressure gradient upon an otherwise standard channel flow. As the main result, we introduce a simple…

流体动力学 · 物理学 2024-06-28 Muhammad Abdullah

We analyze the linear stability of the base state of the problem of coupled flow and deformation in a long and shallow rectangular soft hydraulic conduit with a thick top wall. Specifically, the steady base state is computed at low but…

流体动力学 · 物理学 2020-12-07 Xiaojia Wang , Ivan C. Christov

We investigate the Mach number dependence of the radiative overstability of shocks. We find that the stability of radiative shocks increases with decreasing Mach number, with the result that M=2 shocks require cooling exponents < -1.2 to be…

天体物理学 · 物理学 2009-11-11 J. M. Pittard , M. S. Dobson , R. H. Durisen , J. E. Dyson , T. W. Hartquist , J. T. O'Brien

We study the influence of a temperature-dependent shear viscosity over entropy density ratio $\eta/s$, different shear relaxation times $\tau_\pi$, as well as different initial conditions on the transverse momentum spectra of charged…

核理论 · 物理学 2013-05-30 H. Niemi , G. S. Denicol , P. Huovinen , E. Molnár , D. H. Rischke

We study physical mechanisms that trigger transient growth in a high-speed spatially-developing laminar boundary layer that interacts with an oblique shock wave. We utilize an approach based on power-iteration, with the global forward and…

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