Richtmyer-Meshkov Instability In Reactive Mixtures.

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Title: Richtmyer-Meshkov Instability In Reactive Mixtures.
Author: Ungarala, Madhuri
Abstract: This research analyzes the effect of reactivity on the Richtmyer -Meshkov instability with particular emphasis on the velocity and wave number scaling and on the effect of free detonation instability modes on the interface corrugation rate . This analysis is performed by solving numerically for the first order perturbation generated by the shock -induced acceleration of an initially corrugated interface . The objective of this research is to analyze the effect of mixture reactivity on the process supported by a shock sweeping across a corrugated interface from high density to low density fluid . This scenario is antithetical to the classical Richtmyer analysis where transmitted and reflected shock waves are generated by shock transit from low to high density mixture . A linear stability analysis of the Richtmyer -Meshkov instability supporting the detonation initiation is presented . The analysis focuses on scaling of the interface growth rate with the perturbation wave number under combustion conditions , and on the coupling between detonation front and interface instabilities . This research documents the method , numerical convergence of the solution , and results obtained assuming finite rate kinetics . The results show a profound effect of the reactivity on both the short time growth and the long time linear regime .
URI: http : / /hdl .handle .net /10106 /4913
Date: 2010-07-19

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Richtmyer-Meshkov Instability In Reactive Mixtures.. Available electronically from http : / /hdl .handle .net /10106 /4913 .

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