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The new proposed "energy gradient theory," which physically explains the phenomena of flow instability and turbulent transition in shear flows and has been shown to be valid for parallel flows, is extended to curved flows in this study.…

Fluid Dynamics · Physics 2007-05-23 Hua-Shu Dou

This study explores heat and turbulent modulation in three-dimensional multiphase Rayleigh-B\'enard convection using direct numerical simulations. Two immiscible fluids with identical reference density undergo systematic variations in…

Fluid Dynamics · Physics 2024-08-26 Abbas Moradi Bilondi , Nicolò Scapin , Luca Brandt , Parisa Mirbod

The manuscript focuses on the theoretical stability analysis of the viscous liquid over a vibrating inclined rigid bed when the fluid undergoes an impact of odd viscosity. Such an impact emerges in the classical fluid owing to the broken…

Fluid Dynamics · Physics 2024-10-01 Md. Mouzakkir Hossain , Mrityunjoy Saha , Harekrushna Behera , Sukhendu Ghosh

The Saffman-Taylor instability occurs when a less viscous fluid is displacing a more viscous one in a rectangular Hele-Shaw cell. A surface tension on the interface between the two fluids is improving the stability. The multi-layer Hele -…

Fluid Dynamics · Physics 2019-03-06 Gelu Paşa

Rayleigh-Taylor and Buoyancy-driven instabilities are very common instabilities for an inhomogeneous medium. We examine here how these instabilities grow for incompressible viscoelastic fluids like a strongly coupled dusty plasma by using…

Plasma Physics · Physics 2021-04-21 Vikram S. Dharodi , Amita Das

We investigate the nonlinear instability of a smooth steady density profile solution of the threedimensional nonhomogeneous incompressible Navier-Stokes equations in the presence of a uniform gravitational field, including a Rayleigh-Taylor…

Analysis of PDEs · Mathematics 2015-06-05 Fei Jiang , Song Jiang , Guoxi Ni

The linked fluid dynamics videos depict Rayleigh-Taylor turbulence when driven by a complex acceleration profile involving two stages of acceleration interspersed with a stage of stabilizing deceleration. Rayleigh-Taylor (RT) instability…

Fluid Dynamics · Physics 2013-10-15 P. Ramaprabhu , V. Karkhanis , A. G. W. Lawrie

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…

Fluid Dynamics · Physics 2010-09-01 Lei Xu

An instability may arise when a hot viscous fluid enters a thin gap and cools through heat transfer to a colder surrounding environment. Fluids whose viscosity increases strongly upon cooling create a positive feedback in which warmer…

Fluid Dynamics · Physics 2025-12-08 Federico Lanza , Gaute Linga , Fabian Barras , Eirik Grude Flekkøy

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…

Fluid Dynamics · Physics 2021-01-29 A. Sameen , Rama Govindarajan

The dispersed phase in turbulence can vary from almost inviscid fluid to highly viscous fluid. By changing the viscosity of the dispersed droplet phase, we experimentally investigate how the deformability of dispersed droplets affects the…

Fluid Dynamics · Physics 2022-12-14 Cheng Wang , Lei Yi , Linfeng Jiang , Chao Sun

These fluid dynamics video sequences show two Rayleigh-Taylor instability experiments. The first video sequence shows an experiment where two layers of uniform density are arranged such that the density of the upper layer is greater than…

Fluid Dynamics · Physics 2012-10-10 Megan S. Davies Wykes , Stuart B. Dalziel

In the present paper, the onset of thermal convection in a uniformly rotating Darcy-Brinkman porous medium saturated by a variable viscosity fluid is investigated and the competing interplay between rotation and temperature-dependent…

Fluid Dynamics · Physics 2024-10-15 Florinda Capone , Jacopo A. Gianfrani

The basic stationary buoyant flow in a vertical annular porous passage induced by a boundary temperature difference is investigated. The vertical cylindrical boundaries are considered both isothermal and permeable to external fluid…

Fluid Dynamics · Physics 2023-02-03 A. Barletta , M. Celli , D. A. S. Rees

The non-linear regime of Rayleigh-Taylor instability (RTI) in a radiation supported atmosphere, consisting of two uniform fluids with different densities, is studied numerically. We perform simulations using our recently developed numerical…

High Energy Astrophysical Phenomena · Physics 2013-01-17 Yan-Fei Jiang , Shane W. Davis , James Stone

Understanding the mechanics of detrimental convective instabilities in drying polymer solutions is crucial in many applications such as the production of film coatings. It is well known that solvent evaporation in polymer solutions can lead…

Fluid Dynamics · Physics 2020-06-23 E. J. Mossige , V. Chandran Suja , M. Islamov , S. F. Wheeler , G. G. Fuller

The linear instability study of the viscous Rayleigh-Taylor model in the neighborhood of a laminar smooth increasing density profile $\rho_0(x_3)$ amounts to the study of the following ordinary differential equation of order 4:…

Analysis of PDEs · Mathematics 2022-05-24 Tien-Tai Nguyen , Olivier Lafitte

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 develops when fluids are accelerated counter to their density gradients; intense interfacial fluid mixing ensues with time. The Rayleigh-Taylor mixing controls a broad range of processes in fluids, plasmas,…

Plasma Physics · Physics 2019-10-31 Evgeny E. Meshkov , Snezhana I. Abarzhi

Taylor-Goldstein equation (TGE) governs the stability of a shear-flow of an inviscid fluid of variable density. It is investigated here from a rigorous geometrical point of view using a canonical class of its transformations. Rayleigh's…

Fluid Dynamics · Physics 2007-05-23 Aravind Banerjee
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