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Perturbation dynamics and analytical scalings of linear Richtmyer-Meshkov like flows

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dc.contributor.author Cobos Campos, Francisco
dc.date.accessioned 2018-12-17T13:29:27Z
dc.date.available 2018-12-17T13:29:27Z
dc.date.issued 2018
dc.identifier.uri http://hdl.handle.net/10578/19475
dc.description.abstract The hydrodynamic flow generated by corrugated shocks and rarefactions (Richtmyer–Meshkov like flows) is presented. When a corrugated shock or rarefaction travels inside a homogeneous fluid, it leaves pressure, density and velocity perturbations in the compressed fluid. Additionally, rippled shocks also generate vorticity and entropy perturbations so that the downstream velocity fields are inherently rotational. The asymptotic velocity field is calculated at both sides of the contact surface. The contact surface ripple growth is neatly followed up to the asymptotic stage inside the linear regime. A linear asymptotic behavior for the contact surface ripple growth is observed, where the slope of the straight line is the asymptotic normal velocity, and its asymptotic ordinate to the origin is different from the initial post-shock amplitude due to compressibility. Both quantities are analytically calculated, and it has been shown that the vorticity generated by the shock corrugation should be taken into account in order to accurately determine both magnitudes. Explicit and exact analytic Taylor expansions of the asymptotic normal velocity are presented for both cases in which a shock and a rarefaction wave is reflected back. The expansions are derived from the conservation equations and they take into account the whole perturbation history between the transmitted and reflected fronts. The important physical limits of weak and strong shocks and the high and low pre-shock density ratio at the contact surface are shown. An approximate expression for the asymptotic velocities, valid even for high compression regimes, is given. A comparison with recent experiments has been done showing good agreement between theory and experiments done in a wide range of regimes, for the cases in which the initial ripple amplitude is small enough.
dc.format text/plain es_ES
dc.language.iso en es_ES
dc.publisher Universidad de Castilla-La Mancha es_ES
dc.rights info:eu-repo/semantics/openAccess es_ES
dc.subject Industria es_ES
dc.subject Tecnología es_ES
dc.title Perturbation dynamics and analytical scalings of linear Richtmyer-Meshkov like flows es_ES
dc.type info:eu-repo/semantics/doctoralThesis es_ES

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