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Isothermal compressible two-phase flows in a capillary are modeled with and without phase transition in the presence of gravity, employing Darcy's law for the velocity field. It is shown that the resulting systems are thermodynamically…

Analysis of PDEs · Mathematics 2018-07-09 Jan Pruess , Gieri Simonett , Mathias Wilke

We investigate the miscible Rayleigh-Taylor (RT) instability in both 2 and 3 dimensions using direct numerical simulations, where the working fluid is assumed incompressible under the Boussinesq approximation. We first consider the case of…

Fluid Dynamics · Physics 2015-06-26 Y. Young , H. Tufo , A. Dubey , R. Rosner

Rayleigh-Taylor instability (RTI) has critical importance for a broad range of processes in nature and technology, from supernovae to plasma fusion. In most instances RTI is driven by variable acceleration whereas the bulk of existing…

Plasma Physics · Physics 2019-01-16 Aklant K. Bhowmick , Desmond L. Hill , Snezhana I. Abarzhi

Unlike the power-law model, the Ellis model describes the apparent viscosity of a shear-thinning fluid with no singularity in the limit of a vanishingly small shear stress. In particular, this model matches the Newtonian behaviour when the…

Fluid Dynamics · Physics 2023-02-03 Michele Celli , Antonio Barletta , Pedro V. Brandão

The Rayleigh-Taylor instability (RTI) arises at the interface between two fluids of different densities, notably when a heavier fluid lies above a lighter one in an effective gravitational field. In astrophysical systems with high…

High Energy Astrophysical Phenomena · Physics 2025-06-05 Qiqi Jiang , Guang-Xing Li , Chandra B. Singh

The question whether liquid atomization (or pulverization) resorts to instability dynamics (through refinements of Rayleigh-Plateau, Rayleigh-Taylor or Kelvin-Helmholtz mechanism) or to turbulent cascades similar to Richardson and…

Fluid Dynamics · Physics 2015-05-18 Nicolas Rimbert , Guillaume Castanet

The dynamics of a thin liquid film on the underside of a curved cylindrical substrate is studied. The evolution of the liquid layer is investigated as the film thickness and the radius of curvature of the substrate are varied. A…

The linear and non-linear dynamics of centrifugal instability in Taylor-Couette flow are investigated when fluids are stably stratified and highly diffusive. One-dimensional local linear stability analysis (LSA) on cylindrical Couette flow…

Fluid Dynamics · Physics 2025-12-10 Junho Park

Pushing two fluids with different density one against the other causes the development of the Rayleigh-Taylor instability at their interface, which further evolves in a complex mixing layer. In porous media, this process is influenced by…

Fluid Dynamics · Physics 2020-06-15 G. Boffetta , M. Borgnino , S. Musacchio

Nonlinear evolutions of two-dimensional single-mode compressible Rayleigh--Taylor instability (RTI) with isothermal stratification are investigated in cylindrical geometry via direct numerical simulation for different Atwood numbers…

Fluid Dynamics · Physics 2025-02-04 Ming Yuan , Zhiye Zhao , Luoqin Liu , Pei Wang , Nan-Sheng Liu , Xi-Yun Lu

Many engineering and physiological applications deal with situations when a fluid is moving in flexible tubes with elastic walls. In the real-life applications like blood flow, there is often an additional complexity of vorticity being…

Fluid Dynamics · Physics 2024-09-09 Rossen Ivanov , Vakhtang Putkaradze

We study the two-phase, horizontally periodic, quasistationary Stokes flow in two dimensions driven by surface tension and gravity effects in the general context of fluids with (possibly) different viscosities and densities. The sharp…

Analysis of PDEs · Mathematics 2025-08-22 Daniel Böhme , Bogdan-Vasile Matioc

A liquid-liquid two-phase Taylor-Couette flow is of fundamental and practical importance in multiphase flow systems. This study investigates the flow transitions in such a system with constant axial flow and gradually increased rotation of…

Fluid Dynamics · Physics 2025-09-01 Hayato Masuda , Yuta Kikuchi , Hiroyuki Iyota

We revisit the canonical Rayleigh-Taylor instability and investigate the case of a thin film of fluid upon the underside of an inclined plane. The presence of a natural flow along the plane competes with the conventional droplet forming…

Fluid Dynamics · Physics 2015-09-30 P. -T Brun , Adam Damiano , Pierre Rieu , Gioele Balestra , François Gallaire

We present results of a high resolution numerical study of two dimensional (2d) Rayleigh-Taylor turbulence using a recently proposed thermal lattice Boltzmann method (LBT). The goal of our study is both methodological and physical. We…

Chaotic Dynamics · Physics 2015-05-20 L. Biferale , F. Mantovani , M. Sbragaglia , A. Scagliarini , F. Toschi , R. Tripiccione

Dry granular material flowing on rough inclines can experience a self-induced Rayleigh-Taylor (RT) instability followed by the spontaneous emergence of convection cells. For this to happen, particles are different in size and density, the…

Soft Condensed Matter · Physics 2020-05-06 Umberto d'Ortona , Nathalie Thomas

In this work we suggest that a turbulent phase of the Rayleigh-Taylor instability can be explained as a universal stochastic wave traveling with constant speed in a properly renormalized system. This wave, originating from ordinary…

Fluid Dynamics · Physics 2017-05-16 Alexei A. Mailybaev

An analytical theory is presented for linear, local, short-wavelength instabilities in swirling flows, in which axial shear, differential rotation, radial thermal stratification, viscosity, and thermal diffusivity are all taken into…

Fluid Dynamics · Physics 2025-09-10 Oleg N. Kirillov , Innocent Mutabazi

We address the linear stability of a discontinuous surface of a relativistic flow in the context of a jet that oscillates radially as it propagates. The restoring force of the oscillation is expected to drive a Rayleigh-Taylor instability…

High Energy Astrophysical Phenomena · Physics 2017-09-20 Jin Matsumoto , Miguel A. Aloy , Manel Perucho

We investigate the instability and stability of some steady-states of a three-dimensional nonhomogeneous incompressible viscous flow driven by gravity in a bounded domain $\Omega$ of class $C^2$. When the steady density is heavier with…

Analysis of PDEs · Mathematics 2013-11-19 Fei Jiang , Song Jiang
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