Finite-thickness effect of the fluids on bubbles and spikes in Richtmyer–Meshkov instability for arbitrary Atwood numbers

Wanhai LIU (刘万海); Changping YU (于长平); Pei WANG (王裴); Zheng FU (付峥); Lili WANG (王丽丽); Yulian CHEN (陈玉莲)

doi:10.1088/2058-6272/aaee0c

Plasma Science and Technology > 2019 > 21(2): 25001-025001. > DOI: 10.1088/2058-6272/aaee0c

Wanhai LIU (刘万海), Changping YU (于长平), Pei WANG (王裴), Zheng FU (付峥), Lili WANG (王丽丽), Yulian CHEN (陈玉莲). Finite-thickness effect of the fluids on bubbles and spikes in Richtmyer–Meshkov instability for arbitrary Atwood numbers[J]. Plasma Science and Technology, 2019, 21(2): 25001-025001. DOI: 10.1088/2058-6272/aaee0c

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Finite-thickness effect of the fluids on bubbles and spikes in Richtmyer–Meshkov instability for arbitrary Atwood numbers

¹ Research Center of Computational Physics, Mianyang Normal University, Mianyang 621000, People's Republic of China
² LHD, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
³ Institute of Applied Physics and Computational Mathematics, Beijing 100190, People's Republic of China
⁴ Mechanical and Electrical Engineering Department, Lanzhou Resources and Environment Voc-Tech College, Lanzhou 730021, People's Republic of China

Funds: This work was supported by National Natural Science Foundation of China (Nos. U1530261, 91852203, and 11472278), the Innovation Fund of Fundamental Technology Institute of All Value In Creation (No. JCY2015A005), the Natural Science Foundation of Sichuan Province (Nos. 18ZA0260, and 2018JY0454), the Natural Science Foundation of Mianyang Normal University (Nos. HX2017007, MYSY2017JC06 and MYSY2018T004), and the National High-Tech Inertial Confinement Fusion Committee.

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Received Date: July 20, 2018

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Abstract

Abstract

This paper investigates the finite-thickness effect of two superimposed fluids on bubbles and spikes in Richtmyer–Meshkov instability (RMI) for arbitrary Atwood numbers by using the method of the small parameter expansion up to the second order. When the thickness of the two fluids tends to be infinity, our results can reproduce the classical results where RMI happens at the interface separating two semi-infinity-thickness fluids of different densities. It is found that the thickness has a large influence on the amplitude evolution of bubbles and spikes compared with those in classical RMI. Based on the thickness relationship of the two fluids, the thickness effect on bubbles and spikes for four cases is discussed. The thickness encourages (or reduces) the growth of bubbles or spikes, depending on not only Atwood number, but also the relationship of the thickness ratio of the heavy and light fluids, which is explicitly determined in this paper.
- Richtmyer–Meshkov instability,
- bubbles and spikes,
- finite-thickness

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References

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Finite-thickness effect of the fluids on bubbles and spikes in Richtmyer–Meshkov instability for arbitrary Atwood numbers