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Interface dynamics and flow fields’ structure under thermal heat flux, thermal conductivity, destabilizing acceleration and inertial stabilization

Ilyin, Dan V. and Abarzhi, Snezhana I. (2022) Interface dynamics and flow fields’ structure under thermal heat flux, thermal conductivity, destabilizing acceleration and inertial stabilization. SN Applied Sciences, 4 (7). Art. No. 197. ISSN 2523-3963. doi:10.1007/s42452-022-05000-4. https://resolver.caltech.edu/CaltechAUTHORS:20220715-744449000

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Abstract

Interfaces and interfacial mixing are omnipresent in fluids, plasmas, materials in vastly different environments. A thorough understanding of their fundamentals is essential in many areas of science, mathematics, and technology. This work focuses on the classical problem of stability of a phase boundary that is a subject to fluxes of heat and mass across it for non-ideal thermally conducting fluids. We develop a rigorous theory resolving challenges not addressed before, including boundary conditions for thermal heat flux, structure of perturbation waves, and dependence of waves coupling on system parameters in a broad range of conditions. We discover the novel class of fluid instabilities in the three regimes—advection, diffusion, and low Mach—with properties that were never earlier discussed and that are defined by the interplay of the thermal heat flux, thermal conductivity and destabilizing acceleration with the inertial stabilization. We reveal the parameter controlling transitions between the regimes through varying the initial conditions. We find that the interface stability is set primarily by the macroscopic inertial mechanism balancing the destabilizing acceleration. The thermal heat flux and the microscopic thermodynamics create vortical fields in the bulk. By linking micro to macro scales, the interface is the place where balances are achieved.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/s42452-022-05000-4DOIArticle
ORCID:
AuthorORCID
Ilyin, Dan V.0000-0003-3534-771X
Abarzhi, Snezhana I.0000-0002-8466-3084
Additional Information:© The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. Received 17 July 2021. Accepted 01 March 2022. Published 18 June 2022. Authors thank for the in-kind support the National Science Foundation, USA (Award 1404449), the University of Western Australia, AUS (Project Grant 10101047), and the Australian Research Council, AUS (Award LE220100132). The authors have not disclosed any funding. Contributions. DVI—developed methods, performed research, analyzed results, wrote the paper; SIA—designed research, developed methods, performed research, analyzed results, wrote the paper. Data availability. The methods, the results and the data presented in this work are available to the readers in the paper. The authors declare no conflict of interest.
Funders:
Funding AgencyGrant Number
NSFPHY-1404449
University of Western Australia10101047
Australian Research CouncilLE220100132
Issue or Number:7
DOI:10.1007/s42452-022-05000-4
Record Number:CaltechAUTHORS:20220715-744449000
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220715-744449000
Official Citation:Ilyin, D.V., Abarzhi, S.I. Interface dynamics and flow fields’ structure under thermal heat flux, thermal conductivity, destabilizing acceleration and inertial stabilization. SN Appl. Sci. 4, 197 (2022). https://doi.org/10.1007/s42452-022-05000-4
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115655
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:18 Jul 2022 17:43
Last Modified:18 Jul 2022 17:43

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