摘要
The approximate but analytical solution of the viscous Rayleigh-Taylor insta- bility （RTI） has been widely used recently in theoretical and numerical investigations due to its clarity. In this paper, a modified analytical solution of the growth rate for the viscous RTI of incompressible fluids is obtained based on an approximate method. Its accuracy is verified numerically to be significantly improved in comparison with the previous one in the whole wave number range for different viscosity ratios and Atwood numbers. Fur- thermore, this solution is expanded for viscous RTI including the concentration-diffusion effect.
The approximate but analytical solution of the viscous Rayleigh-Taylor insta- bility （RTI） has been widely used recently in theoretical and numerical investigations due to its clarity. In this paper, a modified analytical solution of the growth rate for the viscous RTI of incompressible fluids is obtained based on an approximate method. Its accuracy is verified numerically to be significantly improved in comparison with the previous one in the whole wave number range for different viscosity ratios and Atwood numbers. Fur- thermore, this solution is expanded for viscous RTI including the concentration-diffusion effect.
作者
Chenyue XIE
Jianjun TAO
Ji LI
Chenyue XIE Jianjun TAO Ji LI(Center for Applied Physics and Technology （CAPT）-MOE Key Laboratory of High Energy Density Physics Simulation （HEDPS）, State Key Laboratory for Turbulence and Complex System （SKLTCS）, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, U. K.)
基金
Project supported by the National Natural Science Foundation of China(Nos.11225209,11490553,and 11221062)
