It is shown how the variable density model that governs the Rayleigh-Taylor instability for the miscible mixing of two incompressible fluids can be transformed into a diffusive version of the inhomogeneous, incompressible Navier-Stokes equations forced by gradients of the composition density $\rho$ of the mixing layer. This demonstrates how buoyancy-driven flows drive and enhance Navier-Stokes turbulence. The role of the potential vorticity $q=\mathit{\omega }·\nabla \rho$ is also discussed.

中文翻译：

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Rayleigh-Taylor 不稳定性的变密度模型及其向扩散、非均匀、不可压缩 Navier-Stokes 方程的转换

显示了如何将控制两种不可压缩流体混相混合的瑞利-泰勒不稳定性的可变密度模型转换为非均匀、不可压缩的 Navier-Stokes 方程的扩散版本，该方程受成分密度梯度的影响 $\rho$的混合层。这展示了浮力驱动的流动如何驱动和增强 Navier-Stokes 湍流。位涡的作用$q=\mathit{\omega }·\nabla \rho$ 也在讨论中。