Viscous Rayleigh-Taylor instability with and without the diffusion effect

Abstract eng:
The approximate but analytical solution of the viscous Rayleigh-Taylor instability (RTI) has been widely used recently in theoretical and numerical investigations due to its concept clarity. In this letter, a modified analytical solution of the growth rate for the viscous RTI of incompressible fluids is obtained based on an approximate method. It is confirmed numerically that its accuracy is significantly improved in comparison to the previous ones in the whole wave number range for different viscosity ratios and Atwood numbers. Furthermore, this solution is expanded for viscous RTI including the concentration-diffusion effect.

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