Noncircular inkjet nozzle
An inkjet nozzle includes an aperture with a noncircular opening substantially defined by a polynomial equation. A droplet generator is also described which includes a firing chamber fluidically coupled to a fluid reservoir, a heating resistor and a nozzle. The nozzle includes an aperture forming a passage from the firing chamber to the exterior of the droplet generator through a top hat layer. The nozzle is defined by a closed polynomial and has a mathematically smooth and mathematically continuous shape around aperture's perimeter wall, with two protrusions extending into the center of the aperture.
1. An inkjet nozzle comprising an aperture with a noncircular shape defined by a polynomial equation comprising a general form of: (DX 2 +CY 2 +A 2 ) 2 −4A 2 X 2 =B 4 , where A, B, C and D are constants.
2. The nozzle of claim 1 , in which constants in the polynomial equation comprise: C having a range of approximately 0.001 to 1; and D having a range of approximately 0.5 to 2.
3. The nozzle of claim 1 , in which constants in the polynomial equation comprise: A having a range of approximately 12.0 to 12.5 microns; B having a range of approximately 12.0 to 13.0 microns; C having a range of approximately 0.001 to 0.5; and D having a range of approximately 1 to 2.
4. The nozzle of claim 1 , in which the shape of the aperture is mathematically continuous and mathematically smooth.
5. The nozzle of claim 1 , in which the aperture has two protrusions extending inward to form a throat, the throat being configured to restrict fluid flow through a central portion of the aperture.
6. The nozzle of claim 5 , in which the throat has a pinch of between 3 and 14 microns and the nozzle envelope is within 20 microns by 20 microns.
7. The nozzle of claim 1 , in which the nozzle is configured to generate a droplet having a mass between 4 nanograms and 15 nanograms.
8. The nozzle of claim 1 , in which a major axis of the nozzle bisects elliptical lobes of the aperture, the major axis of the nozzle being parallel to a major axis of a feed slot.
9. The nozzle of claim 1 , further comprising a counter bore.
10. The nozzle of claim 1 , in which the aperture's perimeter wall comprises a taper between 5 and 12 degrees.
11. A droplet generator comprising:
a firing chamber fluidically coupled to a fluid reservoir;
a heating resistor; and
a nozzle comprising an aperture forming a passage from the firing chamber to the exterior of the droplet generator through a top hat layer, a shape of the aperture's perimeter wall being defined by a mathematically smooth and mathematically continuous closed polynomial, the aperture having two protrusions extending into the center of the aperture.
12. The droplet generator of claim 11 , in which the nozzle further comprises:
a counter bore, the counter bore being formed in an exterior surface of the top hat layer; and
a taper, the taper being formed in the aperture's perimeter wall such that the width of the nozzle is greater at an interior surface of the top hat layer and narrows before entering the counter bore on the exterior surface of the top hat layer; the taper being between 5 and 15 degrees.
13. The droplet generator of claim 12 , in which the two protrusions extending to the center portion of the aperture form a throat configured to restrict fluid flow in the central portion of the aperture such that the velocity difference between a head portion of an ejected droplet and a tail portion of an ejected droplet is reduced; the throat being further configured to such that during ejection of an ink droplet from the nozzle, a tail of the ink droplet is centered over the throat when the droplet separates from the droplet generator.
14. The droplet generator of claim 13 , in which the throat has a pinch of between 3 and 14 microns.
15. The droplet generator of claim 13 , in which a major axis of the nozzle bisects elliptical lobes of the aperture, the major axis of the nozzle being parallel to a major axis of a feed slot.
16. The droplet generator of claim 11 , wherein the mathematically smooth and mathematically continuous closed polynomial is of a general form of: (DX 2 +CY 2 +A 2 ) 2 −4A 2 X 2 =B 4 , where A, B, C and D are constants.
17. The droplet generator of claim 16 , in which constants in the polynomial equation comprise: C having a range of approximately 0.001 to 1; and D having a range of approximately 0.5 to 2.
18. The droplet generator of claim 16 , in which constants in the polynomial equation comprise: A having a range of approximately 12.0 to 12.5 microns; B having a range of approximately 12.0 to 13.0 microns; C having a range of approximately 0.001 to 0.5; and D having a range of approximately 1 to 2.