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Scaling Laws of an Exploding Liquid Column under an Intense Ultrashort X-Ray Pulse

Alfonso M. Gañán-Calvo
Phys. Rev. Lett. 123, 064501 – Published 7 August 2019
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Abstract

A general formulation of the partial destruction of a liquid object in vacuum after the sudden deposition of a very large amount of energy is proposed. That energy instantaneously raises the pressure of a portion of the liquid to extreme values and changes its state, which causes its explosive expansion into vacuum and against the rest of the liquid object. When the deformable object is a liquid capillary column, the model reduces to a universal equation for the evolution of the expanding gap between the two sides of the exploding liquid column. The theoretical analysis contemplates two asymptotic stages for small and large times from the initiation of the blast, whose asymptotic solutions are fitted to available experimental data. A universal approximate analytical solution is obtained. A complete dimensional analysis of the problem and an optimal collapse of experimental data reveal that the proposed solution is in remarkable agreement with experiments of a jet exploding after being irradiated by an ultrashort and intense x-ray pulse from an x-ray free electron laser.

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  • Received 25 November 2018

DOI:https://doi.org/10.1103/PhysRevLett.123.064501

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsFluid Dynamics

Authors & Affiliations

Alfonso M. Gañán-Calvo

  • Departamento de Ingeniería Aerospacial y Mecánica de Fluidos, ETSI, Universidad de Sevilla, Camino de los Descubrimientos s/n 41092, Sevilla, Spain

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Issue

Vol. 123, Iss. 6 — 9 August 2019

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