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- W2020776504 abstract "It is postulated that the plates produced on a liquid jet by finite amplitude pressure fluctuations at the orifice are associated with the phenomenon of vortex-ring formation in the jet. An experimental determination of the pressure profile, using a specially designed pressure probe, in the presence of such pressure fluctuations, produced results consistent with the presence of vortex rings. For weak rings (small pressure fluctuation amplitude) the transverse pressure force produced by the vortex is small and can only trigger the capillary instability. With strong rings the force can overcome the restraining surface tension force, thus producing a plate on the jet. The low pressure produced inside the vortex ring causes fluid to flow in from adjoining parts of the jet and so mass modulation occurs. The author has already shown that the injector vibration produces a pressure variation upstream of the orifice. This in turn results in mass modulation which can trigger combustion instability in liquid fuel rocket engines. The vortex-ring theory provides considerable insight into the coupling between injector vibration (or any source of upstream pressure fluctuation) and the combustion process. Nomenclature AR = cross-sectional area of the vortex ring [Eq. (13)] a = radius of the vortex core E = energy of the vortex ring [Eq. (11)] g = gravity constant H = depth of the fluid I = impulse of the vortex ring [Eq. (8)] PC = pressure in the neighborhood of the vortex core po = pressure in the center of the liquid jet TO = radius of the vortex ring [Eq. (11)]; original jet radius" @default.
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- W2020776504 date "1969-04-01" @default.
- W2020776504 modified "2023-09-26" @default.
- W2020776504 title "Vortex rings and the plate jet." @default.
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- W2020776504 doi "https://doi.org/10.2514/3.5182" @default.
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