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Updated: Oct 9, 2025

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Scaling law of mixing layer in cylindrical Rayleigh-Taylor turbulence
Zhiye Zhao1,2, Pei Wang2, Nan-Sheng Liu1
1Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China.
Abstract:
The nonlinear evolution of mixing layer in cylindrical Rayleigh-Taylor (RT) turbulence is studied theoretically and numerically. The scaling laws including the hyperbolic cosine growth for outward mixing layer and the cosine growth for inward mixing layer of the cylindrical RT turbulence are proposed for the first time and verified reliably by direct numerical simulation of the Navier-Stokes equations. It is identified that the scaling laws for the cylindrical RT turbulence transcend the classical power law for the planar RT turbulence and can be recovered to the quadratic growth as cylindrical geometry effect vanishes. Further, characteristic time- and length scales are reasonably obtained based on the scaling laws to reveal the self-similar evolution features for the cylindrical RT turbulence.
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