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March 1, 1976IBM Journal of Research and Development75 citations

Drop Formation from a Liquid Jet: A Linear One-dimensional Analysis Considered as a Boundary Value Problem

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WPW. T. Pimbley

Key Points

  • This study aims to analyze drop formation from a liquid jet using a linear one-dimensional boundary value model.
  • Utilized a one-dimensional model to study drop formation characteristics.
  • Applied boundary value perturbation instead of a spatially periodic approach.
  • Analyzed momentum balance and flow rate conservation for drop formation from a stream.
  • Demonstrated that drop formation at lower jet velocities shows characteristics significantly different from Rayleigh's predictions.
  • Identified a dispersive medium at lower velocities impacting drop formation.
  • Established that the Rayleigh solution applies as an approximation at high jet velocities.

Abstract

Using a one-dimensional model, the author studied drop formation using a boundary value perturbation, rather than a spatially periodic one as considered by Rayleigh. The Rayleigh solution becomes the high jet velocity approximation to this linear analysis. At lower velocities the analysis shows that the medium becomes dispersive, and drop formation characteristics are quite different from that predicted by Rayleigh. In an appendix, the gross momentum balance and flow rate conservation are used to consider drop formation from a stream.

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Cite This Study

W. T. Pimbley (1976) studied this question.

synapsesocial.com/papers/6a214809d96c1a33c45ad507https://doi.org/10.1147/rd.202.0148
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