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Stability and flow fields structure for interfacial dynamics with interfacial mass flux

Ilyin, Daniil V. and Fukumoto, Yasuhide and Anisimov, Sergei I. and Goddard, William A., III and Abarzhi, Snezhana I. (2019) Stability and flow fields structure for interfacial dynamics with interfacial mass flux. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20190522-205136353

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Abstract

We analyze from a far field the evolution of an interface that separates ideal incompressible fluids of different densities and has an interfacial mass flux. We develop and apply the general matrix method to rigorously solve the boundary value problem involving the governing equations in the fluid bulk and the boundary conditions at the interface and at the outside boundaries of the domain. We find the fundamental solutions for the linearized system of equations, and analyze the interplay of interface stability with flow fields structure, by directly linking rigorous mathematical attributes to physical observables. New mechanisms are identified of the interface stabilization and destabilization. We find that interfacial dynamics is stable when it conserves the fluxes of mass, momentum and energy. The stabilization is due to inertial effects causing small oscillations of the interface velocity. In the classic Landau dynamics, the postulate of perfect constancy of the interface velocity leads to the development of the Landau-Darrieus instability. This destabilization is also associated with the imbalance of the perturbed energy at the interface, in full consistency with the classic results. We identify extreme sensitivity of the interface dynamics to the interfacial boundary conditions, including formal properties of fundamental solutions and qualitative and quantitative properties of the flow fields. This provides new opportunities for studies, diagnostics, and control of multiphase flows in a broad range of processes in nature and technology.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1901.04575arXivArticle
ORCID:
AuthorORCID
Goddard, William A., III0000-0003-0097-5716
Additional Information:© The Authors, 2019. Submitted Monday January 14, 2019. The authors thank for support the University of Western Australia in the AUS, the National Science Foundation in the USA, the Summer Undergraduate Research Fellowship Program at California Institute of Technology in the USA, and the Japan Society for the Promotion of Science in Japan. SIA expresses her deep gratitude to Prof Leo P Kadanoff for comments and remarks and for discussions on singularities and similarities.
Funders:
Funding AgencyGrant Number
University of Western AustraliaUNSPECIFIED
NSFUNSPECIFIED
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)UNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
WAG1338
Record Number:CaltechAUTHORS:20190522-205136353
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190522-205136353
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95722
Collection:CaltechAUTHORS
Deposited By: Donna Wrublewski
Deposited On:23 May 2019 17:31
Last Modified:03 Oct 2019 21:16

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