Title:
Richtmyer-Meshkov instability with reshock and particle interactions

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dc.contributor.advisor Menon, Suresh
dc.contributor.author Ukai, Satoshi en_US
dc.contributor.committeeMember Sankar, Lakshmi N.
dc.contributor.committeeMember Yang, Vigor
dc.contributor.department Aerospace Engineering en_US
dc.date.accessioned 2010-09-15T18:48:51Z
dc.date.available 2010-09-15T18:48:51Z
dc.date.issued 2010-07-08 en_US
dc.description.abstract Richtmyer-Meshkov instability (RMI) occurs when an interface of two fluids with different densities is impulsively accelerated. The main interest in RMI is to understand the growth of perturbations, and numerous theoretical models have been developed and validated against experimental/numerical studies. However, most of the studies assume very simple initial conditions. Recently, more complex RMI has been studied, and this study focuses on two cases: reshocked RMI and multiphase RMI. It is well known that reshock to the species interface causes rapid growth of interface perturbation amplitude. However, the growth rates after reshock are not well understood, and there are no practical theoretical models yet due to its complex interface conditions at reshock. A couple of empirical expressions have been derived from experimental and numerical studies, but these models are limited to certain interface conditions. This study performs parametric numerical studies on various interface conditions, and the empirical models on the reshocked RMI are derived for each case. It is shown that the empirical models can be applied to a wide range of initial conditions by choosing appropriate values of the coefficient. The second part of the study analyzes the flow physics of multiphase RMI. The linear growth model for multiphase RMI is derived, and it is shown that the growth rates depend on two nondimensional parameters: the mass loading of the particles and the Stokes number. The model is compared to the numerical predictions under two types of conditions: a shock wave hitting (1) a perturbed species interface surrounded by particles, and (2) a perturbed particle cloud. In the first type of the problem, the growth rates obtained by the numerical simulations are in agreement with the multiphase RMI growth model when Stokes number is small. However, when the Stokes number is very large, the RMI motion follows the single-phase RMI growth model since the particle do not rapidly respond while the RMI instability grows. The second type of study also shows that the multiphase RMI model is applicable if Stokes number is small. Since the particles themselves characterize the interface, the range of applicable Stokes number is smaller than the first study. If the Stokes number is in the order of one or larger, the interface experiences continuous acceleration and shows the growth profile similar to a Rayleigh-Taylor instability. en_US
dc.description.degree M.S. en_US
dc.identifier.uri http://hdl.handle.net/1853/34724
dc.publisher Georgia Institute of Technology en_US
dc.subject Multiphase flow en_US
dc.subject Shock en_US
dc.subject Instability en_US
dc.subject Richtmyer-Meshkov instability en_US
dc.subject.lcsh Navier-Stokes equations
dc.subject.lcsh Fluid dynamics
dc.title Richtmyer-Meshkov instability with reshock and particle interactions en_US
dc.type Text
dc.type.genre Thesis
dspace.entity.type Publication
local.contributor.advisor Menon, Suresh
local.contributor.corporatename College of Engineering
local.contributor.corporatename Daniel Guggenheim School of Aerospace Engineering
local.relation.ispartofseries Master of Science in Aerospace Engineering
relation.isAdvisorOfPublication 67d13e49-1e1d-4ce9-ac87-8f1a49266904
relation.isOrgUnitOfPublication 7c022d60-21d5-497c-b552-95e489a06569
relation.isOrgUnitOfPublication a348b767-ea7e-4789-af1f-1f1d5925fb65
relation.isSeriesOfPublication 09844fbb-b7d9-45e2-95de-849e434a6abc
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