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Influence of the tangential velocity on the compressible Kelvin-Helmholtz instability with nonequilibrium effects

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Abstract

Kelvin-Helmholtz (KH) instability is a fundamental fluid instability that widely exists in nature and engineering. To better understand the dynamic process of the KH instability, the influence of the tangential velocity on the compressible KH instability is investigated by using the discrete Boltzmann method based on the nonequilibrium statistical physics. Both hydrodynamic and thermodynamic nonequilibrium (TNE) effects are probed and analyzed. It is found that, on the whole, the global density gradients, the TNE strength and area firstly increase and decrease afterwards. Both the global density gradient and heat flux intensity in the vertical direction are almost constant in the initial stage before a vortex forms. Moreover, with the increase of the tangential velocity, the KH instability evolves faster, hence the global density gradients, the TNE strength and area increase in the initial stage and achieve their peak earlier, and their maxima are higher for a larger tangential velocity. Physically, there are several competitive mechanisms in the evolution of the KH instability. (i) The physical gradients increase and the TNE effects are strengthened as the interface is elongated. The local physical gradients decrease and the local TNE intensity is weakened on account of the dissipation and/or diffusion. (ii) The global heat flux intensity is promoted when the physical gradients increase. As the contact area expands, the heat exchange is enhanced and the global heat flux intensity increases. (iii) The global TNE intensity reduces with the decreasing of physical gradients and increase with the increasing of TNE area. (iv) The nonequilibrium area increases as the fluid interface is elongated and is widened because of the dissipation and/or diffusion.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51806116 and 11875001) and the Natural Science Foundation of Fujian Provinces (Grant Nos. 2021J01652 and 2021J01655).

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Authors and Affiliations

  1. College of Mathematics and Statistics, FJKLMAA, Center for Applied Mathematics of Fujian Province (FJNU), Fujian Normal University, Fuzhou, 350117, China

    Yaofeng Li, Huilin Lai & Demei Li

  2. Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-sen University, Zhuhai, 519082, China

    Chuandong Lin

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  1. Yaofeng Li
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Correspondence to Huilin Lai or Chuandong Lin.

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Li, Y., Lai, H., Lin, C. et al. Influence of the tangential velocity on the compressible Kelvin-Helmholtz instability with nonequilibrium effects. Front. Phys. 17, 63500 (2022). https://doi.org/10.1007/s11467-022-1200-3

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