Claims
- 1. A set of articles for submersion in a carbonated beverage, each of the articles being formed in a recognizable shape selected from the group consisting of shapes of human figures, animal figures, marine-related shapes, fantasy characters, cartoon characters and vehicles and having a specific gravity β, a volume V, and a surface area A, such that0<(β−1)V/A h(∞)<1 where h(∞) is a steady-state volume per unit area occupied by carbonation bubbles attached to said surface area A when the articles are submerged in said carbonated beverage, each of the articles sinking in said carbonated beverage when none of said carbonation bubbles are attached thereto, and each of the articles floating in said carbonated beverage when said carbonation bubbles attach thereto.
- 2. The set of the articles of claim 1 wherein said recognizable shapes of said articles are associated with movement.
- 3. The set of the articles of claim 1 wherein said recognizable shapes are recognizable marine-related shapes.
- 4. The set of the articles of claim 3 wherein said recognizable marine-related shapes are selected from a group consisting of mermaids, scuba divers, deep-sea divers, submarines, sharks, octopuses, squid, whales, swordfish, turtles, and crabs.
- 5. The set of the articles of claim 1 wherein said recognizable shapes of said articles are silhouettes.
- 6. A set of articles of cardinality N for submersion in a carbonated beverage, each of the articles having a specific gravity β and being substantially thin with a thickness T across a first direction, a width W1 across a second direction, a length W2 across a third direction, said first, said second and said third directions being orthogonal, such that0<(β−1)T/h(∞)<1, where h(∞) is a steady-state volume per unit area occupied by carbonation bubbles attached to the articles when submerged in said carbonated beverage, said each of the articles sinking in said carbonated beverage when none of said carbonation bubbles are attached thereto, and said each of the articles floating in said carbonated beverage when said carbonation bubbles attach thereto.
- 7. The set of the articles of claim 6 wherein said cardinality N is one, and said thickness T is bounded byT<H(W1×W2)/(W1+W2), where 0<H<½.
- 8. The set of the articles of claim 7 wherein 0<H<⅓.
- 9. The set of the articles of claim 6 wherein the articles have shapes of silhouettes of recognizable objects.
- 10. The set of the articles of claim 6 wherein said thicknesses T are between 45% and 100% of a maximum thickness Tmax which the articles can have and still be able to ascend, whereTmax=2 h(∞)/(β−1).
- 11. The set of the articles of claim 10 wherein said thicknesses T are between 75% and 95% of said maximum thickness Tmax.
- 12. The set of the articles of claim 6 wherein said cardinality N is greater than one, and, for substantially all of the set of the articles, said thickness T is bounded byT<H(W1×W2)/(W1+W2), where 0<H<½.
- 13. The set of the articles of claim 12 wherein said each of the articles has an impact area given by2 W1W2[1+{2+(W1/W2)+(W2/W1)}/π], the set of the articles has an average impact area Z, and said cardinality N of the set isN=96.25 cm2/Z.
- 14. The set of the articles of claim 12 where said cardinality N of the set is 18.
- 15. The set of the articles of claim 12 wherein substantially all articles for said submersion in said carbonated beverage are in the set.
- 16. A set of articles for submersion in a carbonated beverage, each of the articles having a specific gravity β, and being substantially flat with a thickness T across a first direction, a width W1 across a second direction, and a length W2 across a third direction, a volume V, a surface area A, and a steady-state volume per unit area h(∞) occupied by attached carbonation bubbles when submerged in said carbonated beverage, said first, said second and said third directions being orthogonal, such that0<(β−1)V/A h(∞)<1, said each of the articles sinking in said carbonated beverage when none of sid carbonation bubbles are attached thereto, and said each of the articles floating in said carbonated beverage when said carbonation bubbles attach thereto.
- 17. The set of the articles of claim 16 wherein the set has a cardinality of at least one, andT<W1[1−(1−F)G(W2−W1)/W1], where 0≦F≦¼ and ¾≦G≦1.
- 18. The set of the articles of claim 17 wherein the set has a cardinality greater than one, andT<W1[1−(1−F)G(W2−W1)/W1], where 0≦F≦{fraction (1/4)} and ¾≦G≦1.
- 19. The set of the articles of claim 17 wherein, for each of the articlesT>h(tc)/(β−1), where h(tc) is a volume of said carbonation bubbles per unit area after a cycle time tc required for an ascension and descension in said carbonated beverage, so that said each of the articles descends when said carbonation bubbles leave a top surface thereof.
- 20. The set of the articles of claim 16 wherein substantially all the articles in the set satisfyT<W1[1−(1−F)G(W2−W1)/W1], where 0≦F≦⅓ and ½≦G≦1, and the set has a cardinality N of at least 18.
- 21. The set of the articles of claim 16 wherein substantially all articles for said submersion in said carbonated beverage are the articles in the set, and substantially all the articles in the set satisfyT<W1[1−(1−F)G(W2−W1)/W1], where 0≦F≦⅓ and ½≦G≦1.
- 22. The set of the articles of claim 16 wherein substantially all of the articles in the set satisfyT<W1[1−(1−F)G(W2−W1)/W1], where 0≦F≦⅓ and ⅔≦G≦1, said each of the articles has an impact area given by2 W1W2[1+{2+(W1/W2)+(W2/W1)}/π], the set of the articles has an average impact area Z, and said cardinality N of the set isN=96.25 cm2/Z.
- 23. A set of articles for submersion in a carbonated beverage, the articles having an average specific gravity β, an average thickness T, and an average steady-state bubble volume per unit area h(∞) occupied by carbonation bubbles attached to the articles when submerged in said carbonated beverage, such that0<(β−1)T/h(∞)<1, the articles having thickness variations of ΔT, density variations of Δβ, and steady-state bubble volume per unit area variations of Δh(∞), an overall relative accuracy, ΔΠ, being given by{[ΔT/T]2+[Δh(∞)/h(∞)]2+[Δβ/(β−1)]2}½, and condition(β−1)T/2 h(∞) [1+ΔΠ]<1, being satisfied so that substantially all of the articles ascend in said carbonated beverage when said carbonation bubbles attach to the articles.
- 24. The set of the articles of claim 23 wherein said overall relative accuracy ΔΠ is less than 10%.
- 25. The set of the articles of claim 24 wherein said overall relative accuracy ΔΠ is less than 5%.
- 26. The set of the articles of claim 23 wherein said overall related accuracy ΔΠ is greater than approximately 18%, a maximum thickness Tmax which said each of the articles can have and still be able to ascend is given byTmax=2 h(∞)/(β−1), and said average thickness T is approximately equal to Tmax/(1+ΔΠ).
- 27. The set of the articles of claim 23 wherein substantially all articles for said submersion in said carbonated beverage are in the set.
- 28. The set of the articles of claim 24 wherein said average thickness T is approximately 85% of a maximum thickness Tmax which the articles can have and still be able to ascend given byTmax=2h(∞)/(β−1).
- 29. An article for submersion in a carbonated beverage, the article having a specific gravity β, a volume V, and a surface area A, such that0<(β−1)V/A h(∞)<1, where h(∞) is a steady-state bubble volume per unit surface area occupied by carbonation bubbles attached to said surface area A when the article is submerged in said carbonated beverage, the article floating in said carbonated beverage when said carbonation bubbles attach to the article, and the article sinking in said carbonated beverage when none of said carbonation bubbles are attached to the article, a substantial portion of said surface area A is smooth on a length scale of an upper-limit bubble dimension R of said carbonation bubbles, so that said substantial portion of said surface area A promotes a large value of said steady-state bubble volume per unit surface area h(∞) occupied by said carbonation bubbles.
- 30. The article of claim 29 wherein said upper-limit bubble dimension R is an upper-limit bubble radius R* for an optimally smooth surface texture is given byR*={6 σ sin2 θ/ρg[4−(1−cos θ)2 (2+cos θ)]}½, where σ is a surface tension of a bubble interface between said carbonated beverage and carbon dioxide, θ is a contact angle between said surface portion and said bubble interface, and g is acceleration due to gravity.
- 31. The article of claim 30 wherein said substantial portion of said surface area A is smooth on length scales between R*/3 and R*.
- 32. The article of claim 29 wherein said surface texture is rough on a length scale of [2 σ cosθ/P], where σ is a surface tension of a bubble interface between said carbonated beverage and carbon dioxide, θ is a contact angle between said surface portion and said bubble interface, and P being a partial pressure of dissolved carbon dioxide in said carbonated beverage.
- 33. The article of claim 29 wherein said upper-limit bubble dimension R has a value of 1.1 mm.
- 34. The article of claim 29 wherein said upper-limit bubble dimension R has a value of 1.3 mm.
- 35. The article of claim 29 wherein said upper-limit bubble dimension R has a value of 1.5 mm.
- 36. The article of claim 29 wherein said upper-limit bubble dimension R has a value of 2.5 mm.
- 37. A method for providing an amusement system for use with a carbonated beverage, comprising the steps of:confecting, using multiple ingredients, an edible confection having specific gravity β; shaping said edible confection into articles, each of said articles having a specific volume V, a surface area A, and a steady-state volume per unit area h(∞) occupied by carbonation bubbles attached to said surface area A, such that 0<(β−1)V/A h(∞)<1, said each of the articles sinking in said carbonated beverage when none of said carbonation bubbles are attached thereto, and said each of the articles floating in said carbonated beverage when said carbonation bubbles attach thereto; and providing a container containing a total number N of said articles, each of said articles in said container having a width W1, a length W2, and an impact area given by 2 W1W2[1+{2+(W1/W2)+(W2/W1)}/π], said articles in aid container having an average impact area Z, and said total number N of articles in said container being given by N=128.33 cm μ/Z, where 2.0<μ<2.5.
- 38. The method of claim 37 wherein a surface texture of said edible confection is substantially invariant during a period of submersion in said carbonated beverage, said period of submersion being at least five minutes.
- 39. The method of claim 37 wherein said steady-state bubble volume per unit area h(∞) is substantially invariant during a period of submersion in said carbonated beverage, said period of submersion being at least five minutes.
- 40. The method of claim 37 wherein said specific gravity β is substantially invariant during a period of submersion in said carbonated beverage, said period of submersion being at least five minutes.
- 41. The method of claim 37 wherein said surface area A is substantially invariant during a period of submersion in said carbonated beverage, said period of submersion being at least five minutes.
CROSS-REFERENCE TO RELATED APPLICATIONS
This patent application is a continuation-in-part of U.S. regular patent application of the same title by Laurence J. Shaw, Ser. No. 09/087,042, filed May 29, 1998, now abandoned, which is a continuation-in-part of U.S. regular patent application of the same title by Laurence J. Shaw, Ser. No. 08/756,725, filed Nov. 26, 1998, now abandoned, which is a continuation-in-part of the U.S. provisional patent application of the same title by Laurence J. Shaw, Ser. No. 60/010,736, filed Jan. 29, 1996, which is a continuation-in-part of the U.S. provisional patent application of the same title by Laurence J. Shaw, Ser. No. 60/007,655, filed Nov. 28, 1995.
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|
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Provisional Applications (2)
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Number |
Date |
Country |
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60/010736 |
Jan 1996 |
US |
|
60/007655 |
Nov 1995 |
US |
Continuation in Parts (2)
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Number |
Date |
Country |
Parent |
09/087042 |
May 1998 |
US |
Child |
09/429195 |
|
US |
Parent |
08/756725 |
Nov 1998 |
US |
Child |
09/087042 |
|
US |