Interfaces and mixing, and beyond

Abarzhi, Snezhana I.

doi:10.1063/5.0119659

Physics of Fluids

2022

DOI: 10.1063/5.0119659

|View full text |Cite

Interfaces and mixing, and beyond

Snezhana I. Abarzhi

Abstract: Interfaces and mixing, and their non-equilibrium dynamics, govern a broad range of phenomena in nature and technology, from astrophysical to molecular scales. Supernovae and planetary convection, turbulence and turbulent mixing, combustion and chemistry-driven fluids, purification of water and nanofabrication are just a few examples. Addressing the societal challenges posed by alternative energy sources and the efficient use of non-renewable resources requires an improved understanding of interfaces and mixing… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2023

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Fluctuations spectra of specific kinetic energy, density, and mass flux in Rayleigh–Taylor mixing

Williams

Abarzhi

2022

Physics of Fluids

View full text Add to dashboard Cite

Rayleigh–Taylor (RT) interfacial mixing is critically important in a broad range of processes in nature and technology. To understand self-similar RT dynamics, a bias free interpretation of data is in need. This work yields the physics properties and the anomalous scaling of Rayleigh–Taylor mixing based on the analysis of experimental data. Fluctuations spectra are analyzed of the specific kinetic energy of the velocity component in the acceleration direction, the density, and the mass flux. Theoretical foundations and statistical method are developed, under group theory guidance, to investigate unprocessed data, and identify with statistical confidence their spectral shapes. These include the mean values of the spectral shape's parameters, their relative errors, and the goodness of fit. The Anderson–Darling test is employed to inspect the residuals. The intervals of mode numbers are found, where the relative errors of the spectral shape parameters are small and the goodness of fit is excellent. We reveal that spectral shapes of fluctuations in RT mixing experiments can be well described by compound functions, represented by a product of a power law and an exponential. The data analysis based properties unambiguously identifies the dynamic specificity and heterogeneity of RT mixing.

show abstract

Fluctuations spectra of specific kinetic energy, density, and mass flux in Rayleigh–Taylor mixing

Williams

Abarzhi

2022

Physics of Fluids

View full text Add to dashboard Cite

show abstract

Fluid dynamic mathematical aspects of supernova remnants

et al. 2023

View full text Add to dashboard Cite

Supernovae - explosions of stars - are a central problem in astrophysics since they encapsulate the entire process of stellar evolution and nucleosynthesis. Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities, developing during the supernova blast, lead to intense interfacial RT/RM mixing of the star's materials and couple astrophysical to atomic scales. This work analyzes some fluid dynamic mathematical aspects of the titanic task of supernova's blast. We handle mathematical challenges of RT/RM dynamics in supernova relevant conditions by directly linking the conservation laws governing RT/RM dynamics to symmetry-based momentum model, by exactly deriving the model parameters in the scale-dependent and scale-invariant regimes, and by exploring the special self-similar class for RT/RM interfacial mixing with variable accelerations. We reveal that RT/RM dynamics is strongly influenced by deterministic (the initial and the flow) conditions in the scale-dependent linear and nonlinear regimes and in the self-similar mixing regime. The theory outcomes are consistent with the observations of supernova remnants, explain the results of the scaled laboratory experiments in high energy density plasmas, and yield the design of future experiments for accurate quantification of RT/RM dynamics in supernova relevant conditions. We find that from fluid dynamic mathematical perspectives supernovae can be regarded as an astrophysical initial value problem. Along with the guidance of what explodes at microscopic scales, supernova remnants encapsulate information on the explosion hydrodynamics and the associated deterministic conditions at macroscopic scales. We urge such effects be considered in interpretations of the observational data.

show abstract

Theory and simulations of linear and nonlinear two-dimensional Rayleigh–Taylor dynamics with variable acceleration

et al. 2023

View full text Add to dashboard Cite

Interfacial Rayleigh-Taylor mixing is crucial to describing important natural and engineering processes such as exploding supernovae, laser micro-machining, hot spots in inertial confinement fusion, and optical telecommunications. These require the characterization of the time dependence of the driving acceleration. We compare our theoretical formulation based on group theory foundations with interface-capturing numerical simulations for linear and nonlinear two-dimensional Rayleigh-Taylor instabilities in a finite-sized domain with time-varying acceleration over broad ranges of Atwood numbers and acceleration exponents. Detailed corroboration between theory and simulations is provided for this foundational case. Both demonstrate the strong interfacial nature of Rayleigh-Taylor instabilities, which suggests that practical flow fields can be reconstructed from the derived fluid potential using the proposed theory. Robust agreement is also obtained for the early- and late-time evolution of the amplitudes of the bubble and spike, which demonstrate that the Rayleigh-Taylor flow can transition to the mixing regime even for a single-mode initial perturbation. Corroboration with experiments in high energy density plasmas motivated by studies of supernovae is also achieved. In addition, a long-standing puzzle in Rayleigh-Taylor dynamics on the interplay between shear and curvature in theory and simulations is resolved by accounting for finite viscosity in the latter. The characterization of Rayleigh-Taylor instabilities as a highly interfacial phenomenon provides valuable insights into its multi-scale nature, which enhances the design and understanding of numerous processes of practical interest.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Interfaces and mixing, and beyond

Cited by 3 publications

References 51 publications

Fluctuations spectra of specific kinetic energy, density, and mass flux in Rayleigh–Taylor mixing

Fluctuations spectra of specific kinetic energy, density, and mass flux in Rayleigh–Taylor mixing

Fluid dynamic mathematical aspects of supernova remnants

Theory and simulations of linear and nonlinear two-dimensional Rayleigh–Taylor dynamics with variable acceleration

Contact Info

Product

Resources

About