Elastic Rayleigh–Taylor and Richtmyer–Meshkov instabilities in spherical geometry

YB Sun, RH Zeng, JJ Tao - Physics of Fluids, 2020 - pubs.aip.org
An exact theoretical analysis is presented, mainly concerning linearly elastic Rayleigh–
Taylor (RT) and Richtmyer–Meshkov (RM) instabilities at spherical interfaces by using the …

Rayleigh–Taylor and Richtmyer–Meshkov instabilities: A journey through scales

Y Zhou, RJR Williams, P Ramaprabhu, M Groom… - Physica D: Nonlinear …, 2021 - Elsevier
Hydrodynamic instabilities such as Rayleigh–Taylor (RT) and Richtmyer–Meshkov (RM)
instabilities usually appear in conjunction with the Kelvin–Helmholtz (KH) instability and are …

Rayleigh–Taylor instability in cylindrical geometry with compressible fluids

H Yu, D Livescu - Physics of Fluids, 2008 - pubs.aip.org
A linear stability analysis of the Rayleigh–Taylor instability (RTI) between two ideal inviscid
immiscible compressible fluids in cylindrical geometry is performed. Three-dimensional (3D) …

Viscous effects on the non-classical Rayleigh–Taylor instability of spherical material interfaces

MR Mankbadi, S Balachandar - Shock Waves, 2013 - Springer
The viscous and conductivity effects on the instability of a rapidly expanding material
interface produced by a spherical shock tube are investigated through the employment of a …

An analytical model for the Kelvin–Helmholtz instability in solids

JN Gou, YB Sun, RH Zeng - International Journal of Mechanical Sciences, 2022 - Elsevier
Abstract Although Rayleigh–Taylor (RT) and Richtmyer–Meshkov (RM) instabilities in solids
have long been confirmed to play a significant role in high-energy-density physics and to …

Viscous Rayleigh-Taylor and Richtmyer-Meshkov instabilities in the presence of a horizontal magnetic field

YB Sun, C Wang - Physical Review E, 2020 - APS
We first derive the exact dispersion relation for viscous Rayleigh-Taylor instability in the
presence of a horizontal magnetic field using a decomposition method, and we find that the …

A decoupled mechanism of interface growth in single-mode hydrodynamic instabilities

C Liu, H Wu-Wang, Y Zhang, Z Xiao - Journal of Fluid Mechanics, 2023 - cambridge.org
One of the most significant issues in hydrodynamic interfacial instabilities is the growth rate
of the interfacial perturbations, which plays an important role in both scientific research (eg …

Rayleigh–Taylor instability in a visco-plastic fluid

AY Demianov, AN Doludenko, NA Inogamov… - Physica …, 2010 - iopscience.iop.org
Abstract The Rayleigh–Taylor and Richtmyer–Meshkov instabilities of a visco-plastic fluid
are discussed. The Bingham model is used as an effective rheological model which takes …

Nonlinear theory of classical cylindrical Richtmyer-Meshkov instability for arbitrary Atwood numbers

WH Liu, C Ping Yu, W Hua Ye, L Feng Wang… - Physics of …, 2014 - pubs.aip.org
A nonlinear theory is developed to describe the cylindrical Richtmyer-Meshkov instability
(RMI) of an impulsively accelerated interface between incompressible fluids, which is based …

Harmonic growth of spherical Rayleigh-Taylor instability in weakly nonlinear regime

W Liu, Y Chen, C Yu, X Li - Physics of Plasmas, 2015 - pubs.aip.org
Harmonic growth in classical Rayleigh-Taylor instability (RTI) on a spherical interface is
analytically investigated using the method of the parameter expansion up to the third order …