Onset of kinetic effects on Rayleigh–Taylor instability: Advective–diffusive asymmetry

Majumder, Swapnil; Livescu, Daniel; Girimaji, Sharath S.

doi:10.1063/5.0240103

Onset of kinetic effects on Rayleigh–Taylor instability: Advective–diffusive asymmetry

Journal Article · Thu Dec 05 04:00:00 EST 2024 · Physics of Fluids

DOI:https://doi.org/10.1063/5.0240103· OSTI ID:2558024

^[1]; ^[2]; Girimaji, Sharath S. ^[1]

Texas A & M University, College Station, TX (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

In nature and engineering applications, the Rayleigh–Taylor instability (RTI) occurs over a wide range of Atwood, Reynolds, Mach, and Knudsen numbers. At low Atwood, Mach, and Knudsen numbers, the classic advective instability causes quasi-symmetric bubble and spike growth on the two sides of the interface. However, recent findings suggest that at high degrees of rarefaction, advective effects are suppressed and molecular diffusion leads to planar growth of the density fronts on either side of the interface. This study aims to investigate the flow physics of the transition from advective to diffusive behavior, focusing on the onset of the kinetic effects. Using the gas kinetic methodology, RTI is simulated over a range of Knudsen and Mach numbers in the transition regime. The simulation results reveal the various stages of transformation from advective instability to diffusive transport. For the first time, the study demonstrates the existence of a Knudsen–Mach parameter regime where the bubble side exhibits advective instability, while the other side shows a planar density front due to molecular diffusion, rather than the canonical advective spike shape. The dominance of different mechanisms on the two sides of the interface leads to the advective–diffusive asymmetry. In conclusion, the findings of this study can lead to a more comprehensive understanding of RTI over a wide range of Mach and Knudsen numbers.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); Triad award

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2558024

Report Number(s):: LA-UR--24-28041

Journal Information:: Physics of Fluids, Journal Name: Physics of Fluids Journal Issue: 12 Vol. 36; ISSN 1070-6631

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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