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Viscous Rayleigh-Taylor instability with and without diffusion effect

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Abstract

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 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. Furthermore, this solution is expanded for viscous RTI including the concentration-diffusion effect.

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Authors and Affiliations

  1. 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

    Chenyue Xie & Jianjun Tao

  2. Department of Engineering, University of Cambridge, Cambridge, CB2 1PZ, UK

    Ji Li

Authors
  1. Chenyue Xie
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  2. Jianjun Tao
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  3. Ji Li
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Correspondence to Jianjun Tao.

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Project supported by the National Natural Science Foundation of China (Nos. 11225209, 11490553, and 11221062)

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Xie, C., Tao, J. & Li, J. Viscous Rayleigh-Taylor instability with and without diffusion effect. Appl. Math. Mech.-Engl. Ed. 38, 263–270 (2017). https://doi.org/10.1007/s10483-017-2169-9

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  • DOI: https://doi.org/10.1007/s10483-017-2169-9

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