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We investigate the stability of the steady convective flow in a plane tilted layer with ideal thermal conductivity of solid boundaries in the presence of uniform longitudinal temperature gradient. Analytically found the stability boundary…

流体动力学 · 物理学 2015-05-20 R. V. Sagitov , A. N. Sharifulin

We study the instability development during a viscous liquid drop impacting a smooth substrate, using high speed photography. The onset time of the instability highly depends on the surrounding air pressure and the liquid viscosity: it…

流体动力学 · 物理学 2010-09-01 Lei Xu

Layer formation in a thermally destabilized fluid with stable density gradient has been observed in laboratory experiments and has been proposed as a mechanism for mixing molecular weight in late stages of stellar evolution in regions which…

天体物理学 · 物理学 2007-05-23 Joseph A. Biello

Diffusion-driven flow is a boundary layer flow arising from the interplay of gravity and diffusion in density-stratified fluids when a gravitational field is non-parallel to an impermeable solid boundary. This study investigates…

流体动力学 · 物理学 2024-09-23 Lingyun Ding

The stability of atmospheric stratified fluids is revisited to study the influence of the temperature-dependent density inhomogeneity due to thermal expansion in the Earth's lower atmosphere (with heights $0$ to $50$ km) under the action of…

大气与海洋物理 · 物理学 2024-07-08 T. D. Kaladze , A. P. Misra

We investigate the long-time properties of the two-dimensional inviscid Boussinesq equations near a stably stratified Couette flow, for an initial Gevrey perturbation of size $\varepsilon$. Under the classical Miles-Howard stability…

偏微分方程分析 · 数学 2021-03-26 Jacob Bedrossian , Roberta Bianchini , Michele Coti Zelati , Michele Dolce

A comprehensive study of the effect of wall heating or cooling on the linear, transient and secondary growth of instability in channel flow is conducted. The effect of viscosity stratification, heat diffusivity and of buoyancy are estimated…

流体动力学 · 物理学 2021-01-29 A. Sameen , Rama Govindarajan

The dynamics of a thin layer of liquid, between a flat solid substrate and an infinitely-thick layer of saturated vapor, is examined. The liquid and vapor are two phases of the same fluid, governed by the diffuse-interface model. The…

统计力学 · 物理学 2021-09-27 E. S. Benilov

We investigate the instability and nonlinear saturation of temperature-stratified Taylor-Couette flows in a finite height cylindrical gap and calculate angular-momentum transport in the nonlinear regime. The model is based on an…

天体物理学 · 物理学 2009-11-13 M. Gellert , G. Rüdiger

The resuspension and dispersion of particles occur in industrial fluid dynamic processes as well as environmental and geophysical situations. In this paper, we experimentally investigate the ability to fluidize a granular bed with a…

流体动力学 · 物理学 2017-09-07 Cyprien Morize , Eric Herbert , Alban Sauret

We derive an improved rigorous bound on the space and time averaged temperature $<T>$ of an infinite Prandtl number Boussinesq fluid contained between isothermal no-slip boundaries thermally driven by uniform internal heating. A novel…

流体动力学 · 物理学 2015-05-27 Jared P. Whitehead , Charles R. Doering

We analyse the buckling stability of a thin, viscous sheet when subject to simple shear, providing conditions for the onset of the dominant out-of-plane modes using two models: (i) an asymptotic theory for the dynamics of a viscous plate…

流体动力学 · 物理学 2011-03-11 Anja Slim , Jeremy Teichman , L. Mahadevan

We present an experimental study of immiscible, two-phase fluid flow through a three-dimensional porous medium consisting of randomly-packed, monodisperse glass spheres. Our experiments combine refractive-index matching and laser-induced…

Evaporative mass flux is governed by interfacial state of liquid and vapor phases. For closely similar pressures and mass fluxes of liquid water into its own vapor, discontinuity between interfacial liquid and vapor temperatures in the…

化学物理 · 物理学 2019-09-19 Parham Jafari , Amit Amritkar , Hadi Ghasemi

Neither natural nor laboratory laminar flows are perfectly steady. Instead, they are frequently highly unsteady, as illustrated by experimental studies on B\'{e}nard convection. In the paper, we investigate the transition threshold of the…

偏微分方程分析 · 数学 2026-03-18 Qionglei Chen , Zhen Li

In a reaction-diffusion-advection system, with a convectively unstable regime, a perturbation creates a wave train that is advected downstream and eventually leaves the system. We show that the convective instability coexists with a local…

斑图形成与孤子 · 物理学 2017-10-11 Estefania Vidal-Henriquez , Vladimir Zykov , Eberhard Bodenschatz , Azam Gholami

We are concerned with the linear stability of the Couette flow for the non-isentropic compressible Navier-Stokes equations with vanished shear viscosity in a domain $\mathbb{T}\times \mathbb{R}$. For a general initial data settled in…

偏微分方程分析 · 数学 2021-07-08 Xiaoping Zhai

This investigation deals with the analysis of stagnation point heat transfer and corresponding flow features of hydromagnetic viscous incompressible fluid over a vertical shrinking sheet. The considered sheet is assumed to be permeable and…

流体动力学 · 物理学 2015-11-20 Rakesh Kumar , Shilpa Sood

This paper investigates the nonlinear stability of Taylor-Couette (TC) flows incorporating the thermal buoyancy within an annular domain characterized by small viscosity $\nu$ and thermal diffusivity $\mu$. It is well established that the…

偏微分方程分析 · 数学 2026-03-25 Yeping Li , Gaofeng Wang , Tianfang Wu

Meso-scale turbulence was originally observed experimentally in various suspensions of swimming bacteria, as well as in the collective motion of active colloids. The corresponding large-scale dynamical patterns were reproduced in a simple…

软凝聚态物质 · 物理学 2021-03-30 Vasco M. Worlitzer , Gil Ariel , Avraham Be'er , Holger Stark , Markus Bär , Sebastian Heidenreich