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The Rayleigh-Taylor instability
American Journal of Physics, 2006A new approach to the Rayleigh-Taylor instability is presented that yields exact solutions for the simplest cases and provides approximate but still very accurate analytical expressions for important and more complex cases involving nonideal fluids.
A R Píriz, O D Cortazar, J J Lopez Cela
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Vortex simulations of the Rayleigh–Taylor instability [PDF]
Physics of Fluids, 1980 A vortex technique capable of calculating the Rayleigh–Taylor instability to large amplitudes in inviscid, incompressible, layered flows is introduced. The results show the formation of a steady-state bubble at large times, whose velocity is in agreement with the theory of Birkhoff and Carter.
Gregory R Baker +2 more
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On Nonlinear Rayleigh–Taylor Instabilities
Acta Mathematica Sinica, English Series, 2006The authors study the stability of interface between two incompressible inviscid immiscible fluids with different densities in the presence of a constant gravity field. The linearly unstable modes for Rayleigh-Taylor instability are shown to become nonlinearly unstable for the full nonlinear system, with explicit growth estimates. The proof is based on
Desjardins, B., Grenier, E.
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Model of Rayleigh-Taylor Instability
Physical Review Letters, 1989Using concentrations of vorticity along the interface, a new model is proposed for the development of the Rayleigh-Taylor instability in the Boussinesq limit. The accuracy of the model is assessed by comparison with full numerical simulations.
, Aref, , Tryggvason
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On the Dynamical Rayleigh-Taylor Instability
Archive for Rational Mechanics and Analysis, 2003The authors consider density-dependent Euler equations for an incompressible fluid. Exponentially growing solutions exist for the linearized perturbation equations. The main purpose of the current work is to demonstrate the Rayleigh-Taylor instability for the fully nonlinear dynamical setting. The main difficulties in such a setting are the presence of
Hwang, HJ, Guo, Y
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Rayleigh–Taylor instability in dielectric fluids
Physics of Fluids, 2010Force on dielectric fluids in the presence of a nonuniform electric field is shown to reduce their specific weights. An appropriately chosen field gradient makes the specific weights of superposed fluids equal and prevents Rayleigh–Taylor instability.
Joshi, A. +2 more
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Compressible Rayleigh–Taylor instability
The Physics of Fluids, 1983The role of compressibility in modifying the growth rate of Rayleigh–Taylor instability is discussed. Compressibility can either enhance or decrease the growth rate. If the sound speeds in the two media are the same, compressibility can still have an effect, in contrast to ‘‘first-order’’ theory.
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On the three-dimensional Rayleigh–Taylor instability
Physics of Fluids, 1999The three-dimensional Rayleigh–Taylor instability is studied using a lattice Boltzmann scheme for multiphase flow in the nearly incompressible limit. This study focuses on the evolution of the three-dimensional structure of the interface. In addition to the bubble and spike fronts, a saddle point is found to be another important landmark on the ...
He, Xiaoyi +3 more
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Rotational suppression of Rayleigh–Taylor instability
Journal of Fluid Mechanics, 2002It is demonstrated that the growth of the mixing zone generated by Rayleigh–Taylor instability can be greatly retarded by the application of rotation, at least for low Atwood number flows for which the Boussinesq approximation is valid. This result is analysed in terms of the effect of the Coriolis force on the vortex rings that propel the bubbles ...
CARNEVALE G. F. +3 more
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Effect of compressibility on the Rayleigh–Taylor instability
The Physics of Fluids, 1983Eigenfrequencies are calculated for infinitesimal perturbations of the system consisting of two semi-infinite regions, each filled with a constant-temperature ideal polytrope stratified exponentially against gravity. The linear growth rate for the Rayleigh–Taylor instability which occurs when the density above the interface exceeds that below it is ...
Bernstein, Ira B., Book, David L.
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