Reflective roof coating having reduced titanium dioxide
US-2024368423-A1 · Nov 7, 2024 · US
US12564859B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-12564859-B2 |
| Application number | US-202418599941-A |
| Country | US |
| Kind code | B2 |
| Filing date | Mar 8, 2024 |
| Priority date | Mar 8, 2023 |
| Publication date | Mar 3, 2026 |
| Grant date | Mar 3, 2026 |
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A method is disclosed of three-dimensional (3D) free-form printing for coating free-form objects, the method including: arranging a free-form object in a Langmuir-Blodgett (LB) trough filed with a liquid, the LB trough designed based on a shape of the free-form object; arranging an LB film comprising a plurality of colloidal nanospheres on a surface of the liquid within the LB trough; and draining the liquid from the LB trough to form a self-assemble film of the colloidal nanoparticles on a surface of the free-form object.
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What is claimed is: 1 . A method of three-dimensional (3D) free-form printing for coating free-form objects, the method comprising: arranging a free-form object in a Langmuir-Blodgett (LB) trough filled with a liquid, the LB trough designed based on a shape of the free-form object; arranging an LB film comprising a plurality of colloidal particles on a surface of the liquid within the LB trough, and wherein a size of the plurality of colloidal particles includes nanoparticles and/or microparticles; and draining the liquid from the LB trough to form a self-assemble film of the colloidal particles on a surface of the free-form object through a drip below the free-form object and on a bottom of the LB trough. 2 . The method according to claim 1 , further comprising: draining the LB trough through the drip, which is centered in the bottom of the LB trough. 3 . The method according to claim 1 , wherein the LB trough is a drainage basin having a radius R′(z)=r(z)+R(z), wherein r(z) is a radius of an outer surface of the free-form object to be coated and R(z) is a radial distance between the outer surface of the free-form object to be coated and an inner surface of the drainage basin, and wherein the radial distance between the outer surface of the free-form object and the inner surface of the drainage basin continuously decreases towards the bottom of the LB trough. 4 . The method according to claim 3 , wherein the drainage basin is designed so that a change in a surface area of the LB film is a change in a surface area of the self-assembled film, and wherein if r(z) is the radius of the object as a function of z, and wherein the surface area of the coating at z for thickness dz is a change in an area of the LB film in the drainage basin as follows: dSA ( z ) dz = 2 π r ( z ) . 5 . The method according to claim 4 , wherein, if R(z) is the inner radius of the drainage basin as a function of z, then the area of the film layer at a location z is: A ( z ) = π [ r ( z ) + R ( z ) ] 2 - π [ r ( z ) ] 2 ; the change in the surface area of the object is the derivative of: d [ A ( z ) ] dz = 2 π [ r ( z ) + R ( z ) ] [ dr dz + dR dz ] - 2 π r ( z ) dr dz ; wherein the change in object surface area would be equal to the negative change in drainage area, wherein R′=r+R, and - r ( z ) ( 1 - dr dz ) = R ′ ( z ) dR ′ dz ; and if one integrates both sides - ∫ r (
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