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Small-scale fluctuation and scaling law of mixing in three-dimensional rotating turbulent Rayleigh-Taylor instability

Wei, Yikun; Li, Yumeng; Wang, Zhengdao; Yang, Hui; Zhu, Zuchao; Qian, Yuehong; Luo, Kai H; (2022) Small-scale fluctuation and scaling law of mixing in three-dimensional rotating turbulent Rayleigh-Taylor instability. Physical Review E , 105 (1) , Article 015103. 10.1103/physreve.105.015103. Green open access

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Abstract

The effect of rotation on small-scale characteristics and scaling law in the mixing zone of the three-dimensional turbulent Rayleigh-Taylor instability (RTI) is investigated by the lattice Boltzmann method at small Atwood number. The mixing zone width h ( t ) , the root mean square of small scale fluctuation, the spectra, and the structure functions are obtained to analyze the rotating effect. We mainly focus on the process of the development of plumes and discuss the physical mechanism in the mixing zone in rotating and nonrotating systems. The variation of kinetic energy spectra E u and temperature energy spectra E θ with the dimensionless rotation Ω τ demonstrate the suppression effect of rotation. Two scaling laws between the mixing layer width h ( t ) and dimensionless time t / τ are obtained at various Coriolis forces( √ h ( t ) ≃ t 0.9 and √ h ( t ) ≃ t 0.35 ). The rotation increasingly suppresses the growth of the mixing layer width h ( t ) . The velocity and temperature fluctuations are also suppressed by the rotation effect. The relation between the Nusselt number (Nu) and the Rayleigh number (Ra) indicates that the heat transfer is suppressed by the rotation effect in the rotating RT system. The width of the inertial subrange increasingly narrows with increasing Ω τ .

Type: Article
Title: Small-scale fluctuation and scaling law of mixing in three-dimensional rotating turbulent Rayleigh-Taylor instability
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/physreve.105.015103
Publisher version: https://doi.org/10.1103/PhysRevE.105.015103
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery.ucl.ac.uk/id/eprint/10142879
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