Effect of compressibility on ablative Rayleigh-Taylor instability

In this study, a nonlinear theoretical model has been proposed to describe the effect of compressibility on two-dimensional ablative Rayleigh-Taylor instability. The model is based on the Layzer's potential flow model with the vorticity generation inside the bubble. The analytic expression of curvature and asymptotic velocity of the tip of the bubble are obtained, and the growth of the bubble tip is described by a second-order nonlinear differential equation. It is observed that growth and asymptotic velocity are affected by the compression or decompression of both the fluids, together with the unperturbed static pressure at the interface of two fluids and adiabatic indices of both fluids. The obtained results are compared with the earlier linear and nonlinear results.