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1. (WO2017039930) BRISTLE FOR LIQUID-DISPENSING HAIRBRUSH
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WHAT IS CLAIMED IS:

1. A bristle of a liquid-dispensing hairbrush designed to deliver liquids to a user's scalp during hair-brushing only by gravity, and not by capillary action, comprising:

a tube with a tube wall and an outer surface, and with an internal channel, wherein the internal channel has a maximum diameter and a length; and

a roller-ball nozzle, wherein the roller-ball nozzle has a ball with a ball diameter, and a ball seat into which the ball movably fits, and wherein the ball seat has a plurality of radially spaced apart inwardly directed protrusion portions with protrusion portion spaces therebetween and a ball space, and wherein the protrusion portions have apexes, wherein a central hole is defined by an imaginary circle which contacts the apexes of the protrusion portions, and wherein the central hole has a diameter, and wherein the ball seat has a minimum cross-sectional area which is free for liquid flow;

wherein the protrusion portion spaces and the ball space are large enough so that liquid can flow through the protrusion portion spaces and through the central hole, and through the ball space in the direction from the liquid reservoir to the ball only by gravity, and not by capillary action; and wherein the protrusion portion spaces and the ball space are large enough so that external air can enter the roller-ball nozzle and travel up through the ball space and through the protrusion portion spaces, and through the central hole, and then through the internal channel of the tube even if the roller-ball does not contact a user's scalp;

and wherein a ratio of 8<L/VS<25 is satisfied, where L is the length of the internal channel and S is a minimum cross-sectional area of the ball seat which is free for liquid flow;

and wherein the ratio of L/M>8 is satisfied, where L is the length of the internal channel and M is the maximum diameter of the internal channel;

and wherein the ratio of M/B<1.3 is satisfied, where M is the maximum diameter of the internal channel and B is the diameter of the ball.

2. The bristle of the claim 1, wherein the protrusion portions are formed by pressing the outer surface of the tube at in least three points so that the tube wall extends inwardly.

3. The bristle of claim 1, wherein there is a space between the ball and the inwardly directed protrusion portions that is large enough so liquid will flow around the ball and out of the roller-ball nozzle only by gravity and not by capillary action.

4. The bristle of claim 2, wherein there is a space between the ball and the inwardly directed protrusion portions that is large enough so liquid will flow around the ball and out of the roller-ball nozzle only by gravity and not by capillary action.

5. The bristle of claim 1, wherein the liquid has a viscosity of less than about 0.035 Pa- s at a temperature of about 25 degree Celsius.

6. The bristle of claim 1, wherein the liquid has a viscosity of between about 0.0009 and 0.005 Pa- s at a temperature of about 25 degree Celsius.

7. The bristle of claim 2, wherein the liquid has a viscosity of less than about 0.035 Pa- s at a temperature of about 25 degree Celsius.

8. The bristle of claim 2, wherein the liquid has a viscosity of between about 0.0009 and 0.005 Pa- s at a temperature of about 25 degree Celsius.

9. The bristle of the claim 1, wherein the ratio of 1.33<M/H<3.8 is satisfied, where M is the maximum diameter of the internal channel and H is the diameter of the central hole.

10. The bristle of the claim 2, wherein the ratio of 1.33<M/H<3.8 is satisfied, where M is the maximum diameter of the internal channel and H is the diameter of the central hole.

11. The bristle of the claim 1, wherein the ball is made from stainless steel and the ball diameter ranges in size between 1.2 mm and 2.0 mm.

12. The bristle of the claim 2, wherein the ball is made from stainless steel and the ball diameter ranges in size between 1.2 mm and 2.0 mm.

13. A liquid-dispensing hairbrush comprising:

an internal liquid reservoir;

a flexible membrane connected to the internal liquid reservoir; and

a plurality of bristles of claim 1, wherein the balls of at least some of the plurality of bristles are moveable in the ball spaces to allow external air to enter the roller-ball nozzles and travel up through the internal channel of the tubes and into the internal liquid reservoir of the handle to equalize air pressure in internal liquid reservoir with an external air pressure even if the roller-balls do not contact a user's scalp so that liquid can flow outwardly through the bristles that are in contact with the user's scalp.

14. The liquid-dispensing hairbrush of claim 13, further comprising a flexible membrane connected to the internal liquid reservoir to which are connected the plurality of bristles.