Low Mach dynamics of interface and flow fields in thermally conducting fluids
Unstable interfaces govern many processes in fluids, plasmas, materials, in nature and technology. In distinct physical environments, the interface dynamics exhibit similar characteristics and couple micro to macro scales. Our work establishes the rigorous theory examining the classical problem of t...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2025-01-01
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| Series: | Frontiers in Applied Mathematics and Statistics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fams.2024.1517619/full |
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| author | Snezhana I. Abarzhi Snezhana I. Abarzhi |
| author_facet | Snezhana I. Abarzhi Snezhana I. Abarzhi |
| author_sort | Snezhana I. Abarzhi |
| collection | DOAJ |
| description | Unstable interfaces govern many processes in fluids, plasmas, materials, in nature and technology. In distinct physical environments, the interface dynamics exhibit similar characteristics and couple micro to macro scales. Our work establishes the rigorous theory examining the classical problem of the dynamics of an interface with mass and energy fluxes under destabilizing accelerations. We consider thermally conducting fluids in the low Mach regime with weak compressibility prevailing over thermal transport. We find the attributes of perturbation waves, solve the boundary value problem, and identify the flow field structure, the interface perturbations growth, and the interface velocity. The interface dynamics is stabilized primarily by the inertial mechanism and is unstable when the acceleration exceeds a threshold. The thermal heat flux provides extra stabilizations, seeds energy perturbations, creates the vortical field in the bulk, and rescales the interface velocity. Our results agree with experiments in plasmas and complex fluids and with contained turbulence experiments. We outline extensive benchmarks for experiments and simulations and chart future research directions. |
| format | Article |
| id | doaj-art-705a63b371864405a487cda32470d14d |
| institution | Kabale University |
| issn | 2297-4687 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Applied Mathematics and Statistics |
| spelling | doaj-art-705a63b371864405a487cda32470d14d2025-01-08T06:11:43ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872025-01-011010.3389/fams.2024.15176191517619Low Mach dynamics of interface and flow fields in thermally conducting fluidsSnezhana I. Abarzhi0Snezhana I. Abarzhi1Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA, United StatesDepartment of Mathematics and Statistics, The University of Western Australia, Perth, WA, AustraliaUnstable interfaces govern many processes in fluids, plasmas, materials, in nature and technology. In distinct physical environments, the interface dynamics exhibit similar characteristics and couple micro to macro scales. Our work establishes the rigorous theory examining the classical problem of the dynamics of an interface with mass and energy fluxes under destabilizing accelerations. We consider thermally conducting fluids in the low Mach regime with weak compressibility prevailing over thermal transport. We find the attributes of perturbation waves, solve the boundary value problem, and identify the flow field structure, the interface perturbations growth, and the interface velocity. The interface dynamics is stabilized primarily by the inertial mechanism and is unstable when the acceleration exceeds a threshold. The thermal heat flux provides extra stabilizations, seeds energy perturbations, creates the vortical field in the bulk, and rescales the interface velocity. Our results agree with experiments in plasmas and complex fluids and with contained turbulence experiments. We outline extensive benchmarks for experiments and simulations and chart future research directions.https://www.frontiersin.org/articles/10.3389/fams.2024.1517619/fullinterface dynamicsmultiphase dynamicsboundary value problemfluid instabilitiespartial differential equationsasymptotic methods |
| spellingShingle | Snezhana I. Abarzhi Snezhana I. Abarzhi Low Mach dynamics of interface and flow fields in thermally conducting fluids Frontiers in Applied Mathematics and Statistics interface dynamics multiphase dynamics boundary value problem fluid instabilities partial differential equations asymptotic methods |
| title | Low Mach dynamics of interface and flow fields in thermally conducting fluids |
| title_full | Low Mach dynamics of interface and flow fields in thermally conducting fluids |
| title_fullStr | Low Mach dynamics of interface and flow fields in thermally conducting fluids |
| title_full_unstemmed | Low Mach dynamics of interface and flow fields in thermally conducting fluids |
| title_short | Low Mach dynamics of interface and flow fields in thermally conducting fluids |
| title_sort | low mach dynamics of interface and flow fields in thermally conducting fluids |
| topic | interface dynamics multiphase dynamics boundary value problem fluid instabilities partial differential equations asymptotic methods |
| url | https://www.frontiersin.org/articles/10.3389/fams.2024.1517619/full |
| work_keys_str_mv | AT snezhanaiabarzhi lowmachdynamicsofinterfaceandflowfieldsinthermallyconductingfluids AT snezhanaiabarzhi lowmachdynamicsofinterfaceandflowfieldsinthermallyconductingfluids |