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On interplay of surface tension and inertial stabilization mechanisms in the stable and unstable interface dynamics with the interfacial mass flux

Ilyin, D.V. and Goddard, W. A., III and Abarzhi, I. I. and Abarzhi, S. I. (2021) On interplay of surface tension and inertial stabilization mechanisms in the stable and unstable interface dynamics with the interfacial mass flux. Physica Scripta, 96 (8). Art. No. 084001. ISSN 0031-8949. doi:10.1088/1402-4896/abf57e. https://resolver.caltech.edu/CaltechAUTHORS:20210513-075458655

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Abstract

Non-equilibrium dynamics of interfaces and mixing are omnipresent in fluids, plasmas and materials, in nature and technology, at astrophysical and at molecular scales. This work investigates dynamics of an interface separating fluids of different densities and having interfacial mass flux, and being influenced by the acceleration and the surface tension. We derive solutions for the interface dynamics conserving mass, momentum and energy, find the critical acceleration values separating stable and unstable regimes, and reveal the macroscopic inertial mechanism as primary mechanism of the interface stabilization. We show that while the surface tension influences only the interface, its presence leads to formation of vortical structures in the bulk. For large accelerations the conservative dynamics is unstable, leading to the growth of interface perturbations and the growth of the interface velocity. This new instability can be unambiguously discerned from other instabilities; for strong accelerations it has the fastest growth-rate and the largest stabilizing surface tension value when compared to Landau-Darrieus and Rayleigh-Taylor instabilities. We further find the values of initial perturbation wavelengths at which the conservative dynamics can be stabilized and at which it has the fastest growth. Our results agree with existing observations, identify extensive theory benchmarks for future experiments and simulations, and outline perspectives for application problems in nature and technology.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1402-4896/abf57eDOIArticle
https://arxiv.org/abs/2006.11064arXivDiscussion Paper
ORCID:
AuthorORCID
Ilyin, D.V.0000-0003-3534-771X
Goddard, W. A., III0000-0003-0097-5716
Abarzhi, S. I.0000-0002-8466-3084
Additional Information:© 2021 IOP Publishing Ltd. Received 17 December 2020; Revised 26 March 2021; Accepted 7 April 2021; Published 12 May 2021. The authors thank for support the University of Western Australia, AUS (project grant 10101047); and the National Science Foundation, USA (award 1404449). Data availability: The methods, the results and the data presented in this work are freely available to the readers in the paper and on the request from the authors. Author’s contributions: The authors contributed to the work as follows: SIA designed research; DVI, SIA performed research; DVI, SIA analyzed data; DVI, SIA discussed results; DVI, SIA wrote the paper.
Funders:
Funding AgencyGrant Number
University of Western Australia10101047
Office of Naval Research (ONR)N00014-19-1-2081
NSFPHY-1404449
Other Numbering System:
Other Numbering System NameOther Numbering System ID
WAG1425
Issue or Number:8
DOI:10.1088/1402-4896/abf57e
Record Number:CaltechAUTHORS:20210513-075458655
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210513-075458655
Official Citation:D V Ilyin et al 2021 Phys. Scr. 96 084001
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109108
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 May 2021 16:05
Last Modified:06 Jun 2021 04:24

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