Journal Article PUBDB-2021-03558

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The Natural Breakup Length of a Steady Capillary Jet: Application to Serial Femtosecond Crystallography

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2021
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Crystals 11(8), 990 () [10.3390/cryst11080990] special issue: "Time-resolved crystallography"
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Abstract: One of the most successful ways to introduce samples in Serial Femtosecond Crystallography has been the use of microscopic capillary liquid jets produced by gas flow focusing, whose length-to-diameter ratio and velocity are essential to fulfill the requirements of the high pulse rates of current XFELs. In this work, we demonstrate the validity of a classical scaling law with two universal constants to calculate that length as a function of the liquid properties and operating conditions. These constants are determined by fitting the scaling law to a large set of experimental and numerical measurements, including previously published data. Both the experimental and numerical jet lengths conform remarkably well to the proposed scaling law. We show that, while a capillary jet is a globally unstable system to linear perturbations above a critical length, its actual and shorter long-term average intact length is determined by the nonlinear perturbations coming from the jet breakup itself. Therefore, this length is determined solely by the properties of the liquid, the average velocity of the liquid and the flow rate expelled. This confirms the very early observations from Smith and Moss 1917, Proc R Soc Lond A Math Phys Eng, 93, 373, to McCarthy and Molloy 1974, Chem Eng J, 7, 1, among others, while it contrasts with the classical conception of temporal stability that attributes the natural breakup length to the jet birth conditions in the ejector or small interactions with the environment.

Classification:

Contributing Institute(s):
  1. CFEL-Coherent X-Ray Imaging (FS-CFEL-1)
  2. FS-ML (CFEL-XOM)
Research Program(s):
  1. 633 - Life Sciences – Building Blocks of Life: Structure and Function (POF4-633) (POF4-633)
  2. Leibniz Preis - Leibiz Programm 2015: Prof. Dr. Henry N. Chapman (DFG-Leibniz-2015-Chapman) (DFG-Leibniz-2015-Chapman)
  3. DFG project 390715994 - EXC 2056: CUI: Advanced Imaging of Matter (390715994) (390715994)
  4. DFG project 194651731 - EXC 1074: Hamburger Zentrum für ultraschnelle Beobachtung (CUI): Struktur, Dynamik und Kontrolle von Materie auf atomarer Skala (194651731) (194651731)
Experiment(s):
  1. Experiments at CFEL

Appears in the scientific report 2021
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Medline ; Creative Commons Attribution CC BY 4.0 ; DOAJ ; OpenAccess ; Article Processing Charges ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Essential Science Indicators ; Fees ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection
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Private Collections > >CFEL > >FS-CFEL > CFEL-XOM
Private Collections > >DESY > >FS > FS-CFEL-1
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 Record created 2021-08-27, last modified 2025-07-16


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