Combined Effect Of Surface Tension And Viscosity On Single Mode Rayleigh-taylor Instability Bubble Growth

Based on theoretical Layzer’s model and Zu?ria’s model,we generalize two theoretical models to non-ideal ?uid.and we take the e?ect of viscosity and surface tension on the growth rate of Rayleigh-Taylor instability on two models into account.Then,using the velocity potentials in Goncharov to obtain analytically the asymptotic velocity on the late time growth rate of RTI which is based on Layzer’s model.In the same way,taking the asymptotic velocity potentials in Goncharov to get analytically the asymptotic velocity and curvature of the bubble on Zu?ria’s model.Adopting the control variate method into analyzing the in?uence of viscosity and surface tension on Zu?ria’s model and mutual e?ect between them.In this way,the di?erence of two models is researched.The following, we will analyze the probable causes.We ?nd that both viscosity and surface tension decrease the asymptotic bubble velocity, but don’t a?ect the curvature of the bubble.The results based on Zu?ria’s model is in better agreement with experimental data than the results based on Layzer’s model. And the results based on Zu?ria’s model is smaller than the results based on Layzer’s model throughout. Both models lie within the measured velocity and are in correspondence with experimental data.