In this paper, we study the long-time evolutions of the single- and multi-mode Rayleigh–Taylor
instability with surface tension in two dimensions by using the vortex sheet model. …

… , surface tension, and the compressibility on the nonlinear growth rate of Rayleigh-Taylor
(RT) … For the incompressible case, it is seen that both viscosity and surface tension have a …

… surface tension on the growth of single and multiple bubbles in the Rayleigh–Taylor instability.
… We find the contrasting effects of surface tension: it reduces the growth of a single bubble, …

… The Weber number (We) reveals the relative magnitude of interface tension force and gravity
force. The electrical Weber number (Eb) describes the ratio of the electrical over the gravity …

… with a sharp interface (no diffusion) and no surface tension; this case is the rotational
counterpart of the classical Rayleigh–Taylor instability work of Rayleigh (1883) and Taylor (1950). …

… and development of the Rayleigh–Taylor mixing zone. The effects are studied by comparing
the response to different perturbations of the initial diffusion interface, each characterized by …

… Then the dispersion relation for the interfacial wave is obta:>:"… the interfacial wave and
to enk-wee the Rayleigh-Taylor … tension, viscosity, and magnetic field on the Rayleigh-Taylor …

… We will use the Rayleigh–Taylor instability as our test case. There are several reasons
for … choose the Rayleigh–Taylor instability as our benchmark problem. First, the Rayleigh–Taylor …

… The nonlinear evolution of interfacial waves separating liquids of different viscosity and
density (Rayleigh-Taylor instability) in a 2-D channel is studied. Using a new approach, which …

… It was first studied shortly after Rayleigh's work by Webb … Rayleigh's eigenvalue equation
is also demonstrated in the continuum limit. As special cases, the discussion includes Taylor's …