Experiments on the Richtmyer-Meshkov instability of incompressible fluids

Persistent Link:
http://hdl.handle.net/10150/284290
Title:
Experiments on the Richtmyer-Meshkov instability of incompressible fluids
Author:
Niederhaus, Charles Edward
Issue Date:
2000
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Richtmyer-Meshkov (R-M) instability occurs when two different density fluids are impulsively accelerated in the direction normal to their nearly planar interface. The instability causes perturbations on the interface to grow and to possibly become turbulent. R-M instability is a fundamental fluid instability that is important to fields ranging from astrophysics to high-speed combustion. For example, R-M instability is currently one of the limiting factors in achieving a positive net yield in laser driven inertial confinement fusion experiments. This experimental study investigates the instability of an interface between incompressible, miscible liquids with an initial sinusoidal perturbation. After undergoing a nearly impulsive acceleration, the initial perturbation quickly inverts and then grows in amplitude. The vorticity on the interface eventually coalesces into a series of alternating signed vortices. Disturbance amplitudes are measured and compared to theoretical predictions. Linear stability theory gives excellent agreement with the measured initial perturbation growth rates, while the predicted amplitudes differ by less than 10% from experimental measurements up to a nondimensional time kȧ₀t = 0.7. Fourth order, single-mode perturbation theory extends the 1.0% amplitude agreement up to a nondimensional time kȧ₀t = 1.3. A discrete vortex model and a combined model equation are within 10% of the experimental amplitude measurements up to the maximum experimental nondimensional time kȧ₀t = 30. The effects of Reynolds number (based on circulation) on the vortex core evolution and overall growth rate of the interface are also investigated. In addition, an instability in the vortex cores is observed for the first time and criteria established for its occurrence.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Engineering, Aerospace.; Engineering, Mechanical.; Physics, Fluid and Plasma.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Aerospace and Mechanical Engineering
Degree Grantor:
University of Arizona
Advisor:
Jacobs, Jeffrey W.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleExperiments on the Richtmyer-Meshkov instability of incompressible fluidsen_US
dc.creatorNiederhaus, Charles Edwarden_US
dc.contributor.authorNiederhaus, Charles Edwarden_US
dc.date.issued2000en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractRichtmyer-Meshkov (R-M) instability occurs when two different density fluids are impulsively accelerated in the direction normal to their nearly planar interface. The instability causes perturbations on the interface to grow and to possibly become turbulent. R-M instability is a fundamental fluid instability that is important to fields ranging from astrophysics to high-speed combustion. For example, R-M instability is currently one of the limiting factors in achieving a positive net yield in laser driven inertial confinement fusion experiments. This experimental study investigates the instability of an interface between incompressible, miscible liquids with an initial sinusoidal perturbation. After undergoing a nearly impulsive acceleration, the initial perturbation quickly inverts and then grows in amplitude. The vorticity on the interface eventually coalesces into a series of alternating signed vortices. Disturbance amplitudes are measured and compared to theoretical predictions. Linear stability theory gives excellent agreement with the measured initial perturbation growth rates, while the predicted amplitudes differ by less than 10% from experimental measurements up to a nondimensional time kȧ₀t = 0.7. Fourth order, single-mode perturbation theory extends the 1.0% amplitude agreement up to a nondimensional time kȧ₀t = 1.3. A discrete vortex model and a combined model equation are within 10% of the experimental amplitude measurements up to the maximum experimental nondimensional time kȧ₀t = 30. The effects of Reynolds number (based on circulation) on the vortex core evolution and overall growth rate of the interface are also investigated. In addition, an instability in the vortex cores is observed for the first time and criteria established for its occurrence.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectEngineering, Aerospace.en_US
dc.subjectEngineering, Mechanical.en_US
dc.subjectPhysics, Fluid and Plasma.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineAerospace and Mechanical Engineeringen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorJacobs, Jeffrey W.en_US
dc.identifier.proquest9992122en_US
dc.identifier.bibrecord.b41171858en_US
All Items in UA Campus Repository are protected by copyright, with all rights reserved, unless otherwise indicated.