Location of Repository

A study of the characteristics of oscillatory surface instabilities leading to droplet formation

By 

Abstract

Graduation date: 2001The characteristics of the free surface in an orifice driven by a periodic\ud forcing function have been studied both theoretically and experimentally. In the\ud theoretical study, two wall boundary condition cases were examined: 1) the radial\ud velocity at the wall of the orifice is zero; and 2) the axial velocity at the wall of the\ud orifice is zero. The result for both boundary conditions is a modal solution where\ud the predicted surface shape as a function of orifice radius and frequency are Bessel\ud functions. The modal frequencies and annular peak locations are also predicted, as\ud a function of orifice radius, for both boundary condition cases. The modal\ud frequencies and annular peak locations differ between the boundary condition\ud cases. The experimental results show: i) the axial velocity boundary condition\ud matches the general behavior of the surface at the wall better than the radial\ud velocity boundary condition case; ii) that the surface shapes generated have the\ud same characteristics as the Bessel function; and iii) near the centerline, the surface\ud shape is well modeled by the Bessel function. The experimental results also show\ud there is a significant shift downward of the observed modal frequencies from the\ud predicted frequencies. A correlation was developed to predict the measured modal\ud frequencies for the axial velocity boundary condition case based on the theoretical\ud predicted frequencies

Year: 2001
OAI identifier: oai:ir.library.oregonstate.edu:1957/32969
Provided by: ScholarsArchive@OSU

Suggested articles

Preview

Citations

  1. (1972). A class of exact, time-dependent, free surface flows," doi
  2. (1982). A numerical study of drop-on-demand ink jets,"
  3. (1986). A, One-Dimensional Numerical Model of a Drop-onDemand Ink Jet," doi
  4. (1962). An Experimental Note on Finite-Amplitude Standing Gravity Waves," doi
  5. (1953). An Experimental Study of Standing Waves,"
  6. (1983). Bubbles, breaking waves and hyperbolic jets at a free surface," doi
  7. (1981). Design of an Impulse Ink Jet,"
  8. (1987). Drop formation by DOD ink-jet nozzles: A comparison of experiment and numerical simulation," doi
  9. (1979). Drop Formation in a Circular Liquid Jet," Annual Review of Fluid Mechanics, doi
  10. (1991). Drop Formation in a Drop-on-Demand Ink Jet,"
  11. (1974). Drop Formation in a Liquid Jet,"
  12. (1994). Drop formation in a one-dimensional approximation of the Navier-Stokes equation," doi
  13. (1984). Experimental and Theoretical Study of Wave Propagation Phenomena in Drop-on-Demand Ink Jet Devices," doi
  14. (1984). Experimental Methods for Engineers, McGraw-Hill mc,
  15. (1963). Experiments on the Frequency of FiniteAmplitude Axisymmetric Gravity Waves in a Circular Cylinder," doi
  16. (1981). Finite Difference Computation of the Capillary Jet, Free Surface Problem," doi
  17. Further Observations upon Liquid Jets,"
  18. (1981). Growth and collapse of a vapour cavity near a free surface," doi
  19. (1972). Ink Jet Printing," doi
  20. (1997). Ink Manifold Design of Phase Change Piezoelectric Ink Jets,"
  21. (1965). Liquid Surface Oscillations in Longitudinally Excited Rigid Cylindrical Containers," doi
  22. (1977). Model for Fluid Ejection and Refill in an Impulse Drive Jet,"
  23. (1996). Multiple Dot Size Fluidics for Phase Change Piezoelectric Ink Jets,"
  24. (1984). Numerical Calculation of the Fluid Dynamics of Drop-OnDemand Jets," doi
  25. (1883). On the Crispations of Fluid resting upon a Vibrating Support," doi
  26. (1996). Overview of Phase Change Piezoelectric Ink Jet Fluids Modeling and Design,"
  27. (1952). Part II Finite Periodic Stationary Gravity Waves in a Perfect Liquid," doi
  28. (1962). Periodic, Finite-Amplitude, Axisymmetric Gravity Waves," doi
  29. (1996). Photorealistic Ink-Jet Printing Through Dynamic Spot Size Control,"
  30. (1989). Physicochemical hydrodynamics an introduction, Butterworth publishers, doi
  31. (1976). Self-Similar, Time-Dependent Flows with a Free Surface," doi
  32. (1996). Significance of Inertance and Resistance in Fluidics of Thermal Ink-Jet Transducers," doi
  33. (1960). Standing surface waves of finite amplitude," doi
  34. (1964). The Period of Standing Gravity Waves of Largest Amplitude on Water," doi
  35. (1996). The Printing Technology of the Tektronix Phaser® 340,"
  36. (1954). The Stability of the Plane Free Surface of a Liquid in Vertical Periodic Motion," doi
  37. (1985). Thermodynamics and Hydrodynamics of Thermal Ink Jets," Hewlett-Packard Journal,
  38. (1992). Three-Dimensional Calculation of Bubble Growth and Drop Ejection in a Bubble Jet Printer," doi
  39. (1981). Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries," doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.