DOI QR코드

DOI QR Code

A Study on the Nonlinear Motion of a Vertical Liquid Jet

수직하방 분사된 주의 비선형 거동에 관한 연구

  • Published : 2002.01.01

Abstract

The breakup phenomena of a vertical laminar jet issuing from capillary tubes in a quiescent ambient air are investigated using a forced vibration analysis of the surface wave. Using a linear approach to the transient jet velocity, an approximate solution fur the longitudinal motion of a vertical liquid jet is theoretically derived, thus performing an instability analysis by a vibration method. The damping term of this equation is nonlinear as it depends on dimensionless parameters, a Weber number, and an Ohnesorge number. The instability condition is determined based on whether the coefficient of the damping term is less than zero or not. Uniform drop formation is dependent on the vibration frequency fur the forced vibration case.

Keywords

References

  1. No, S. Y. and Kim, J. I., 2000, 'Assessment of Prediction Ability of Atomization and Droplet Breakup Model on Diesel Spray Dynamic,' Journal of ILASS-KOREA, Vol. 5, No.2, pp. 35-42
  2. Yoon, Youngbin, Park, J. H. and Hwang, S. S., 2000, 'Aerodynamical Progressed Taylor Analogy Breakup(APTAB) Model for Accurate Prediction of Spray Droplet Deformation and Breakup,' Journal of ILASS-KOREA, Vol. 5, No.2, pp. 53-60
  3. Lefebvre, H., 1989, Atomization and Sprays, Hemisphere Pub. Co., USA, pp. 37-59
  4. Load Rayleigh, 1879, 'On the Instability of Jets,' Proc. Lond. Math. Soc., Vol. 10, pp. 4-13 https://doi.org/10.1112/plms/s1-10.1.4
  5. Weber, C., 1931, 'Zum Zerfall Eines Flussigkeitslrahles,' Z. Angew. Math, Mech., Vol, 11, pp. 136-159 https://doi.org/10.1002/zamm.19310110207
  6. Tomotika, S., 1935, 'On the Instability of a Cylinderical Thread of a Viscous Liquid Surrounded by Another Viscous Fluid,' Proc. Roy. Soc. London Ser. A, Vol. 150, pp. 322-337 https://doi.org/10.1098/rspa.1935.0104
  7. Lee, H. C., 1974, 'Drop Formation in a Liquid Jet,' IBM J. Res. Dev. 18, 364 https://doi.org/10.1147/rd.184.0364
  8. Inamura, T., Takagi, Y., Arai, T. and Maruyama, S. 1999, 'Instability of Liquid Jet in Microgravity,' Proceeding of the ILASS-Asia 99, 4th Annual Conference on Liquid Atomization and Spray Systems, Yongin, Korea, 1-2 Oct, pp. 67-72
  9. Amagai, K., and Arai, M., 1997, 'Frequency Analysis of Disintegrating Liquid Column,' ICLASS-97, pp. 361-368
  10. Middlemann, S., 1995, 'Modeling Axisymmetric Flows,' Applied Mech. California, Academic press, USA, pp. 93-170
  11. Hilbing, J. H., Heister, S. D. and Spangler, C. A., 1995, 'A Boundary Element Method for Atomization of a Finite Liquid Jet,' Atomization and Sprays, Vol .5, pp. 621-638 https://doi.org/10.1615/AtomizSpr.v5.i6.60
  12. Wang, G. and Yan, J., 2000, 'On Existence of Periodic Solutions of the Rayleigh Equation of Retarded Type,' Interna. J. Math. & Math. Sci. Vol. 23, No.1, pp. 65-68 https://doi.org/10.1155/S0161171200001836