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Hydrodynamic Instabilities in Condensed Matter at High Pressures
Hydrodynamic Instabilities in Condensed Matter at High Pressures
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152952
- ISBN
- 9798384041993
- DDC
- 621
- 저자명
- Dick, Sonya C.
- 서명/저자
- Hydrodynamic Instabilities in Condensed Matter at High Pressures
- 발행사항
- [Sl] : University of Michigan, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 135 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-03, Section: B.
- 주기사항
- Advisor: Johnsen, Eric.
- 학위논문주기
- Thesis (Ph.D.)--University of Michigan, 2024.
- 초록/해제
- 요약The convection of the mantle of Earth and super-Earths is important for many terrestrial phenomena, from plate tectonics to outgassing. Rheological properties, such as viscosity, regulate the transport of thermal energy and mass. However, the viscosity of mantle-relevant materials, such as MgO, at relevant pressures has not been well constrained. The goal of this dissertation is to study hydrodynamic instabilities in condensed matter at high pressures and leverage this understanding to provide a means to measure viscosity at high pressures (100s GPa). Interfacial hydrodynamic instabilities have been widely studied in classical fluid dynamics. Such instabilities occur when perturbations along a material interface are subjected to various processes, including accelerations. The Richtmyer-Meshkov (RM) instability specifically arises when the acceleration is caused by a shock wave. This thesis primarily focuses on the RM instability in condensed matter, which includes solids and liquids subjected to high pressures, i.e., \uD835\uDCAA(106) Pa or greater. Unlike in gases and plasmas, the behavior of the RM instability in condensed matter is highly dependent on viscosity, given the relatively low Reynolds number. As a result, the evolution of the perturbations in such a regime is quite different from that in gases. We are motivated by recent experiments that use hydrodynamic instabilities to infer material properties, such as viscosity, under conditions relevant to planetary interiors and high-pressure environments. There lacks extensive knowledge on the behavior of the Richtmyer-Meshkov instability in condensed matter. We focus on analytically and numerically studying a shocked epoxy-MgO interface, represented by a stiffened equation of state. This thesis presents a comprehensive study of the behavior of condensed matter at shocked interfaces, focusing on both analytical and computational approaches.We first develop an analytical method to determine equation of state parameters in shocked condensed matter for a given interface pressure. By solving an appropriate Riemann problem for the desired pressure, we are able to fit parameters for a stiffened equation of state to experimental data with high accuracy for a number of materials.Next, we explore the Richtmyer-Meshkov instability in condensed matter. The key differences with existing studies RM in gases are that the shocks are far stronger, the sound speeds are larger, and the viscosities are higher. The evolution of a single-mode epoxy-MgO interface is simulated for increasing interface pressures ranging from 50 to 400 GPa. The observed behavior includes dynamic growth rate oscillations and deviations from different growth rate magnitude predictions. The effect of viscosity on this behavior is also probed, and found to decrease the growth rate. The behavior observed in this study is intended to inform the design of experiments in this regime.Finally, we present a numerical investigation of a laser-driven Richtmyer-Meshkov instability accompanying innovative experiments aimed at constraining MgO viscosity. This work establishes a robust platform that incorporates the dynamic OMEGA-EP laser, the experimentally relevant equations of state for each material, and the constitutive relations of shocked condensed matter. Simulations are performed for a variety of different MgO viscosities in order to constrain the experimental data. The early-time evolution of the simulations, when compared to the experimental data, suggest the viscosity of MgO at these conditions is within an order of magnitude of 5000 Pa·s. These multi-physics simulations are necessary and critical to constrain the viscosity in this campaign. We further investigate the strain rate dependence of viscosity. By accounting for the expected decrease in viscosity at the shock front and rarefaction, better agreement between the simulations and the experimental data is achieved, thus providing a characterization of the rate dependence of viscosity.
- 일반주제명
- Mechanical engineering
- 일반주제명
- Condensed matter physics
- 일반주제명
- Thermodynamics
- 일반주제명
- Fluid mechanics
- 일반주제명
- Plasma physics
- 키워드
- Shocks
- 기타저자
- University of Michigan Mechanical Engineering
- 기본자료저록
- Dissertations Abstracts International. 86-03B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211152952
■006m o d
■007cr#unu||||||||
■020 ▼a9798384041993
■035 ▼a(MiAaPQ)AAI31631055
■035 ▼a(MiAaPQ)umichrackham005809
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a621
■1001 ▼aDick, Sonya C.
■24510▼aHydrodynamic Instabilities in Condensed Matter at High Pressures
■260 ▼a[Sl]▼bUniversity of Michigan▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a135 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-03, Section: B.
■500 ▼aAdvisor: Johnsen, Eric.
■5021 ▼aThesis (Ph.D.)--University of Michigan, 2024.
■520 ▼aThe convection of the mantle of Earth and super-Earths is important for many terrestrial phenomena, from plate tectonics to outgassing. Rheological properties, such as viscosity, regulate the transport of thermal energy and mass. However, the viscosity of mantle-relevant materials, such as MgO, at relevant pressures has not been well constrained. The goal of this dissertation is to study hydrodynamic instabilities in condensed matter at high pressures and leverage this understanding to provide a means to measure viscosity at high pressures (100s GPa). Interfacial hydrodynamic instabilities have been widely studied in classical fluid dynamics. Such instabilities occur when perturbations along a material interface are subjected to various processes, including accelerations. The Richtmyer-Meshkov (RM) instability specifically arises when the acceleration is caused by a shock wave. This thesis primarily focuses on the RM instability in condensed matter, which includes solids and liquids subjected to high pressures, i.e., \uD835\uDCAA(106) Pa or greater. Unlike in gases and plasmas, the behavior of the RM instability in condensed matter is highly dependent on viscosity, given the relatively low Reynolds number. As a result, the evolution of the perturbations in such a regime is quite different from that in gases. We are motivated by recent experiments that use hydrodynamic instabilities to infer material properties, such as viscosity, under conditions relevant to planetary interiors and high-pressure environments. There lacks extensive knowledge on the behavior of the Richtmyer-Meshkov instability in condensed matter. We focus on analytically and numerically studying a shocked epoxy-MgO interface, represented by a stiffened equation of state. This thesis presents a comprehensive study of the behavior of condensed matter at shocked interfaces, focusing on both analytical and computational approaches.We first develop an analytical method to determine equation of state parameters in shocked condensed matter for a given interface pressure. By solving an appropriate Riemann problem for the desired pressure, we are able to fit parameters for a stiffened equation of state to experimental data with high accuracy for a number of materials.Next, we explore the Richtmyer-Meshkov instability in condensed matter. The key differences with existing studies RM in gases are that the shocks are far stronger, the sound speeds are larger, and the viscosities are higher. The evolution of a single-mode epoxy-MgO interface is simulated for increasing interface pressures ranging from 50 to 400 GPa. The observed behavior includes dynamic growth rate oscillations and deviations from different growth rate magnitude predictions. The effect of viscosity on this behavior is also probed, and found to decrease the growth rate. The behavior observed in this study is intended to inform the design of experiments in this regime.Finally, we present a numerical investigation of a laser-driven Richtmyer-Meshkov instability accompanying innovative experiments aimed at constraining MgO viscosity. This work establishes a robust platform that incorporates the dynamic OMEGA-EP laser, the experimentally relevant equations of state for each material, and the constitutive relations of shocked condensed matter. Simulations are performed for a variety of different MgO viscosities in order to constrain the experimental data. The early-time evolution of the simulations, when compared to the experimental data, suggest the viscosity of MgO at these conditions is within an order of magnitude of 5000 Pa·s. These multi-physics simulations are necessary and critical to constrain the viscosity in this campaign. We further investigate the strain rate dependence of viscosity. By accounting for the expected decrease in viscosity at the shock front and rarefaction, better agreement between the simulations and the experimental data is achieved, thus providing a characterization of the rate dependence of viscosity.
■590 ▼aSchool code: 0127.
■650 4▼aMechanical engineering
■650 4▼aCondensed matter physics
■650 4▼aThermodynamics
■650 4▼aFluid mechanics
■650 4▼aPlasma physics
■653 ▼aHigh-energy-density physics
■653 ▼aComputational fluid dynamics
■653 ▼aHydrodynamic instabilities
■653 ▼aRichtmyer-Meshkov instability
■653 ▼aShocks
■690 ▼a0548
■690 ▼a0204
■690 ▼a0611
■690 ▼a0348
■690 ▼a0759
■71020▼aUniversity of Michigan▼bMechanical Engineering.
■7730 ▼tDissertations Abstracts International▼g86-03B.
■790 ▼a0127
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17164356▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
