U.S. patent application number 15/200923 was filed with the patent office on 2017-06-01 for articles for manipulating impinging liquids and methods of manufacturing same.
This patent application is currently assigned to Massachusetts Institute of Technology. The applicant listed for this patent is Massachusetts Institute of Technology. Invention is credited to James C. Bird, Rajeev Dhiman, Hyukmin Kwon, Kripa K. Varanasi.
Application Number | 20170151575 15/200923 |
Document ID | / |
Family ID | 45418765 |
Filed Date | 2017-06-01 |
United States Patent
Application |
20170151575 |
Kind Code |
A1 |
Dhiman; Rajeev ; et
al. |
June 1, 2017 |
ARTICLES FOR MANIPULATING IMPINGING LIQUIDS AND METHODS OF
MANUFACTURING SAME
Abstract
This invention relates generally to an article that includes a
non-wetting surface having a dynamic contact angle of at least
about 90.degree.. The surface is patterned with macro-scale
features configured to induce controlled asymmetry in a liquid film
produced by impingement of a droplet onto the surface, thereby
reducing time of contact between the droplet and the surface.
Inventors: |
Dhiman; Rajeev;
(Glastonbury, CT) ; Bird; James C.; (Cambridge,
MA) ; Kwon; Hyukmin; (Cambridge, MA) ;
Varanasi; Kripa K.; (Lexington, MA) |
|
Applicant: |
Name |
City |
State |
Country |
Type |
Massachusetts Institute of Technology |
Cambridge |
MA |
US |
|
|
Assignee: |
Massachusetts Institute of
Technology
Cambridge
MA
|
Family ID: |
45418765 |
Appl. No.: |
15/200923 |
Filed: |
July 1, 2016 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
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14302112 |
Jun 11, 2014 |
9381528 |
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15200923 |
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13300022 |
Nov 18, 2011 |
9254496 |
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14302112 |
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61514794 |
Aug 3, 2011 |
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Current U.S.
Class: |
1/1 |
Current CPC
Class: |
B05D 5/083 20130101;
C08J 2300/102 20130101; C08J 7/123 20130101; F01D 5/288 20130101;
F01D 25/02 20130101; B08B 17/065 20130101; C04B 35/00 20130101;
F03D 80/40 20160501; B82Y 30/00 20130101; B05D 5/02 20130101; C04B
2235/945 20130101; B05B 1/26 20130101; Y10T 428/24355 20150115;
Y02E 10/72 20130101; B05D 1/185 20130101; C23C 18/32 20130101; F05D
2300/512 20130101; B82Y 40/00 20130101 |
International
Class: |
B05B 1/26 20060101
B05B001/26; C08J 7/12 20060101 C08J007/12; C23C 18/32 20060101
C23C018/32; F01D 5/28 20060101 F01D005/28; F01D 25/02 20060101
F01D025/02; F03D 80/40 20060101 F03D080/40; C04B 35/00 20060101
C04B035/00; B08B 17/06 20060101 B08B017/06 |
Claims
1. An article comprising a non-wetting surface having a dynamic
contact angle of at least about 90.degree., said surface patterned
with macro-scale features configured to induce controlled asymmetry
in a liquid film produced by impingement of a droplet onto the
surface, thereby reducing time of contact between the droplet and
the surface.
2. The article of claim 1, wherein the non-wetting surface is
superhydrophobic.
3. The article of claim 1, wherein the non-wetting surface is
superoleophobic.
4. The article of claim 1, wherein the non-wetting surface is
supermetallophobic.
5. The article of claim 1, wherein the surface comprises a
non-wetting material.
6. The article of claim 1, wherein the surface comprises
non-wetting features.
7. The article of claim 6, wherein the non-wetting features are
nanoscale pores.
8. The article of claim 1, wherein the surface is heated above its
Leidenfrost temperature.
9. The article of claim 1, wherein the macro-scale features
comprise ridges having height A.sub.r and spacing .lamda..sub.r,
with A.sub.r/h greater than about 0.01 and .lamda..sub.r/A.sub.r
greater than or equal to about 1, wherein h is lamella thickness
upon droplet impingement onto the surface.
10-19.
20. The article of claim 1, wherein the macro-scale features are
hemispherical protrusions.
21-25. (canceled)
26. The article of claim 1, wherein the macro-scale features
comprise a sinusoidal profile having amplitude A.sub.c and period
.lamda..sub.c, with A.sub.c/h>0.01 and
.lamda..sub.c/A.sub.c.gtoreq.2, wherein h is lamella thickness upon
droplet impingement onto the surface.
27-33. (canceled)
34. The article of claim 1, wherein the surface comprises an
alkane.
35. The article of claim 1, wherein the surface comprises a
fluoropolymer.
36. The article of claim 1, wherein the surface comprises at least
one member selected from the group consisting of teflon,
trichloro(1H,1H,2H,2H-perfluorooctyl)silane (TCS),
octadecyltrichlorosilane (OTS),
heptadecafluoro-1,1,2,2-tetrahydrodecyltrichlorosilane, fluoroPOSS,
a ceramic material, a polymeric material, a fluorinated material,
an intermetallic compound, and a composite material.
37. The article of claim 1, wherein the surface comprises a
polymeric material, the polymeric material comprising at least one
of polytetrafluoroethylene, fluoroacrylate, fluoroeurathane,
fluorosilicone, fluorosilane, modified carbonate, chlorosilanes,
and silicone.
38. The article of claim 1, wherein the surface comprises a ceramic
material, the ceramic material comprising at least one of titanium
carbide, titanium nitride, chromium nitride, boron nitride,
chromium carbide, molybdenum carbide, titanium carbonitride,
electroless nickel, zirconium nitride, fluorinated silicon dioxide,
titanium dioxide, tantalum oxide, tantalum nitride, diamond-like
carbon, and fluorinated diamond-like carbon.
39. The article of claim 1, wherein the surface comprises an
intermetallic compound, the intermetallic compound comprising at
least one of nickel aluminide and titanium aluminide.
40-42. (canceled)
43. An atomizer comprising a non-wetting surface having a dynamic
contact angle of at least about 90.degree., said surface patterned
with macro-scale features configured to induce controlled asymmetry
in a liquid film produced by impingement of a droplet onto the
surface, thereby promoting breakup of the droplet on the
surface.
44. The atomizer of claim 43, wherein the non-wetting surface is
supermetallophobic.
45. The atomizer of claim 43, wherein the droplet comprises a
molten metal.
Description
CROSS-REFERENCE TO RELATED APPLICATION
[0001] This application claims priority to and the benefit of, and
incorporates herein by reference in its entirety U.S. Provisional
Patent Application No. 61/514,794, which was filed on Aug. 3,
2011.
FIELD OF THE INVENTION
[0002] This invention relates generally to surfaces that manipulate
impinging liquids. More particularly, in certain embodiments, the
invention relates to macro-scale features on a surface that reduce
the contact time between an impinging liquid and the surface.
BACKGROUND OF THE INVENTION
[0003] Superhydrophobicity, a property of a surface when it resists
contact with water, has been a topic of intense research during the
last decade due to its potential in a wide variety of applications,
such as self-cleaning, liquid-solid drag reduction, and water
repellency. Water repellency of superhydrophobic surfaces is often
studied by droplet impingement experiments in which millimetric
drops of water are impacted onto these surfaces and photographed.
With appropriate surface design, droplets can be made to bounce off
completely. However, the time taken to bounce off--hereafter
referred to as the contact time--is critically important as mass,
momentum, and/or energetic interactions take place between the
droplet and the surface during the time of contact. For example,
the energy required to deice an airplane wing can be reduced if a
water drop rebounds off the wing before it freezes.
[0004] Recent literature suggests there is a theoretical minimum
contact time, t.sub.c. See M. Reyssat, D. Richard, C. Clanet, and
D. Quere, Faraday Discuss., 2010, 146, pp.19-33; and D. Quere,
Nature Letters, 2002, 417, pp. 811. Specifically, models that
estimate the effects of contact line pinning on contact time have
found that the contact time scales as
t c .apprxeq. 2.2 ( .rho. R 3 .gamma. ) 1 / 2 ( 1 + .phi. 4 ) ( 1 )
##EQU00001##
where t.sub.c is the contact time of a drop, of radius R, density
p, and surface tension .gamma., bouncing on a superhydrophobic
surface with pinning fraction .phi.. Even if one were able to
completely eliminate this surface pinning such that .phi.=0, there
would still be a minimum contact time limited by the drop
hydrodynamics.
[0005] New articles, devices, and methods are needed to decrease
the contact time between a droplet and a surface for improved
liquid repellency. Contact times less than the theoretical minimum
have heretofore been believed to be impossible.
SUMMARY OF THE INVENTION
[0006] The articles, devices, and methods presented herein
incorporate unique surface designs that can manipulate the
morphology of an impinging droplet and lead to a significant
reduction (e.g., more than 50% below the theoretical minimum
prediction of Equation 1) in the time of contact between a droplet
and its target surface. These designs are capable of improving the
performance of a wide variety of products that are negatively
affected by droplet impingement. Examples of such products include
rainproof consumer products, steam turbine blades, wind turbine
blades, aircraft wings, engine blades, gas turbine blades,
atomizers, and condensers.
[0007] The articles, devices, and methods described herein offer
several advantages over previous approaches in the field of water
repellency using superhydrophobic surfaces. For example, the
articles, devices, and methods lead to a major reduction (e.g.,
over 50%) in the contact time compared to the existing best
reported contact time in the literature (i.e., the minimum contact
time predicted by Equation 1, above). This surprising reduction in
contact time is desirable not only to control diffusion of mass,
momentum, or energy (depending upon the application), but also to
prevent droplets from getting stuck on a surface due to impact from
neighboring impinging droplets. In addition, the approach described
herein is more practical and scalable as it relies on introducing
macro-scale features that are easy to machine or fabricate with
current tools. By contrast, previous approaches focus on the use of
micron to sub-micron features that are difficult to fabricate and,
at best, provide contact times that approach but do not fall below
the minimum predicted by Equation 1. Contact times achieved using
the articles, devices, and methods described herein are lower than
those attainable with the lotus leaf (the best known
superhydrophobic surface), which is limited by Equation 1.
[0008] The articles, devices, and methods described herein may be
used in a wide variety of industries and applications where droplet
repellency is desirable. For example, textile companies that
manufacture rainproof fabrics, such as rainwear, umbrellas,
automobile covers, etc., could significantly improve fabric
waterproof performance. Likewise, energy companies that manufacture
steam turbines could reduce moisture-induced efficiency losses
caused by water droplets entrained in steam, which impinge on
turbine blades and form films, thereby reducing power output.
Condensers in power and desalination plants may utilize the devices
and methods described herein to promote dropwise shedding
condensation heat transfer. Further, in aircraft and wind turbine
applications, a reduced contact time of supercooled water droplets
impinging upon aircraft surfaces is desirable to prevent the
droplets from freezing and thereby degrading aerodynamical
performance. In atomizer applications, the ability of surfaces to
break up droplets can be used to create new atomizers for
applications in engines, agriculture, and pharmaceutical
industries. In gas turbine compressors, the devices and methods
described herein may be used to prevent oil-film formation and
reduce fouling.
[0009] In one aspect, the invention relates to an article including
a non-wetting surface having a dynamic contact angle of at least
about 90.degree., said surface patterned with macro-scale features
configured to induce controlled asymmetry in a liquid film produced
by impingement of a droplet onto the surface, thereby reducing time
of contact between the droplet and the surface. In certain
embodiments, the non-wetting surface is superhydrophobic,
superoleophobic, and/or supermetallophobic. In one embodiment, the
surface includes a non-wetting material. The surface may be heated
above its Leidenfrost temperature.
[0010] In certain embodiments, the surface includes non-wetting
features, such as nanoscale pores. In certain embodiments, the
macro-scale features include ridges having height A.sub.r and
spacing .lamda..sub.r, with A.sub.r/h greater than about 0.01 and
.lamda..sub.r/A.sub.r greater than or equal to about 1, wherein h
is lamella thickness upon droplet impingement onto the surface. In
certain embodiments, A.sub.r/h is from about 0.01 to about 100 and
.lamda..sub.r/A.sub.r is greater than or equal to about 1. In one
embodiment, A.sub.r/h is from about 0.1 to about 10 and
.lamda..sub.r/A, is greater than or equal to about 1.
[0011] In certain embodiments, the article is a wind turbine blade,
the macro-scale features include ridges having height A.sub.r and
spacing .lamda..sub.r, and wherein 0.0001 mm<A.sub.r and
.lamda..sub.r.gtoreq.0.0001 mm. In certain embodiments, the article
is a rainproof product, 0.0001 mm<A.sub.r and
.lamda..sub.r.gtoreq.0.0001 mm. In some embodiments, the article is
a steam turbine blade, 0.00001 mm<A.sub.r and
.lamda..sub.r>0.0001 mm. In one embodiment, the article is an
exterior aircraft part, 0.00001 mm<A.sub.r and
.lamda..sub.r>0.0001 mm. The article may be a gas turbine blade
with 0.00001 mm<A.sub.r and .lamda..sub.r>0.0001 mm.
[0012] In certain embodiments, the macro-scale features include
protrusions having height A.sub.p and whose centers are separated
by a distance .lamda..sub.p, with A.sub.p/h>0.01 and
.lamda..sub.p/A.sub.p>2, wherein h is lamella thickness upon
droplet impingement onto the surface. In certain embodiments,
100>A.sub.p/h>0.01 and .lamda..sub.p/A.sub.p.gtoreq.2. In one
embodiment, 10>A.sub.p/h>0.1 and
.lamda..sub.p/A.sub.p.gtoreq.2. The macro-scale features may be
hemispherical protrusions.
[0013] In certain embodiments, the article is a wind turbine blade,
the macro-scale features include protrusions having height A.sub.p
and whose centers are separated by a distance .lamda..sub.p, and
wherein 0.0001 mm<A.sub.p and .lamda.p>0.0002 mm. In certain
embodiments, the article is a rainproof product, 0.0001
mm<A.sub.p and .lamda..sub.p.gtoreq.0.0002 mm. In various
embodiments, the article is a steam turbine blade, 0.00001
mm<A.sub.p and .lamda..sub.p.gtoreq.0.00002 mm. In certain
embodiments, the article is an exterior aircraft part, 0.00001
mm<A.sub.p and .lamda..sub.p.gtoreq.0.00002 mm. The article may
be a gas turbine blade with 0.00001 mm<A.sub.p and
.lamda..sub.p.gtoreq.0.00002 mm.
[0014] In certain embodiments, the macro-scale features include a
sinusoidal profile having amplitude A.sub.c and period
.lamda..sub.c, with A.sub.c/h>0.01 and
.lamda..sub.c/A.sub.c.gtoreq.2, wherein h is lamella thickness upon
droplet impingement onto the surface. In certain embodiments,
100>A.sub.c/h>0.01 and
500.gtoreq..lamda..sub.c/A.sub.c.gtoreq.2. In various embodiments,
100>A.sub.c/h>0.1 and
500.gtoreq..lamda..sub.c/A.sub.c.gtoreq.2. As used herein,
"sinusoidal" encompasses any curved shape with an amplitude and
period.
[0015] In certain embodiments, the article is a rainproof product,
the macro-scale features include a sinusoidal profile having
amplitude A.sub.c and period .lamda..sub.c, and wherein 0.0001
mm<A.sub.c and .lamda..sub.c.gtoreq.0.0002 mm. In one
embodiment, the article is a wind turbine blade, 0.0001
mm<A.sub.c and .lamda..sub.c.gtoreq.0.0002 mm. The article may
be a steam turbine blade with 0.00001 mm<A.sub.c and
.lamda..sub.c.gtoreq.0.00002 mm. The article may be an exterior
aircraft part with 0.00001 mm<A.sub.c and
.lamda..sub.c.gtoreq.0.00002 mm. In certain embodiments, the
article is a gas turbine blade, 0.00001 mm<A.sub.c and
.lamda..sub.c.gtoreq.0.00002 mm.
[0016] In certain embodiments, the surface includes an alkane. In
one embodiment, the surface includes a fluoropolymer. In certain
embodiments, the surface includes at least one member selected from
the group consisting of teflon,
trichloro(1H,1H,2H,2H-perfluorooctyl)silane (TCS),
octadecyltrichlorosilane (OTS),
heptadecafluoro-1,1,2,2-tetrahydrodecyltrichlorosilane, fluoroPOSS,
a ceramic material, a polymeric material, a fluorinated material,
an intermetallic compound, and a composite material. In certain
embodiments, the surface includes a polymeric material, the
polymeric material including at least one of
polytetrafluoroethylene, fluoroacrylate, fluoroeurathane,
fluorosilicone, fluorosilane, modified carbonate, chlorosilanes,
and silicone. In certain embodiments, the surface includes a
ceramic material, the ceramic material including at least one of
titanium carbide, titanium nitride, chromium nitride, boron
nitride, chromium carbide, molybdenum carbide, titanium
carbonitride, electroless nickel, zirconium nitride, fluorinated
silicon dioxide, titanium dioxide, tantalum oxide, tantalum
nitride, diamond-like carbon, and fluorinated diamond-like carbon.
In certain embodiments, the surface includes an intermetallic
compound, the intermetallic compound including at least one of
nickel aluminide and titanium aluminide. In certain embodiments,
the article is a condenser. The article may be a drip shield for
storage of radioactive material. In certain embodiments, the
article is a self-cleaning solar panel.
[0017] In another aspect, the invention relates to an atomizer
including a non-wetting surface having a dynamic contact angle of
at least about 90.degree., said surface patterned with macro-scale
features configured to induce controlled asymmetry in a liquid film
produced by impingement of a droplet onto the surface, thereby
promoting breakup of the droplet on the surface. The description of
elements of the embodiments above can be applied to this aspect of
the invention as well. In certain embodiments, the non-wetting
surface is supermetallophobic. In certain embodiments, the droplet
includes a molten metal.
BRIEF DESCRIPTION OF THE DRAWINGS
[0018] The objects and features of the invention can be better
understood with reference to the drawings described below, and the
claims. The drawings are not necessarily to scale, emphasis instead
generally being placed upon illustrating the principles of the
invention. In the drawings, like numerals are used to indicate like
parts throughout the various views.
[0019] While the invention is particularly shown and described
herein with reference to specific examples and specific
embodiments, it should be understood by those skilled in the art
that various changes in form and detail may be made therein without
departing from the spirit and scope of the invention.
[0020] FIG. 1a is a schematic side view of a droplet resting on a
surface during a static contact angle measurement, according to an
illustrative embodiment of the invention.
[0021] FIGS. 1b and 1c are schematic side views of a liquid
spreading and receding, respectively, on a surface, according to an
illustrative embodiment of the invention.
[0022] FIG. 1d is a schematic side view of a droplet resting on an
angled surface, according to an illustrative embodiment of the
invention.
[0023] FIGS. 1e and 1f depict typical side and top views,
respectively, of a water droplet (2.7 mm in diameter) impinging a
superhydrophobic surface, according to an illustrative embodiment
of the invention.
[0024] FIG. 2a is a schematic top view of a droplet undergoing
symmetrical recoil, similar to FIG. 1b, after impingement,
according to an illustrative embodiment of the invention.
[0025] FIG. 2b is a schematic top view of a droplet undergoing
asymmetric recoil due to nucleation of holes, according to an
illustrative embodiment of the invention.
[0026] FIG. 2c is a schematic top view of a droplet undergoing
asymmetrical recoil due to development of cracks, according to an
illustrative embodiment of the invention.
[0027] FIG. 2d is a schematic side view of a droplet that has
spread onto a curved surface to form a lamella, according to an
illustrative embodiment of the invention.
[0028] FIG. 3 is a schematic side view and a detailed view of a
surface for triggering cracks in a receding liquid film, according
to an illustrative embodiment of the invention.
[0029] FIG. 4 includes schematic top and cross-sectional views of a
droplet recoiling on a flat surface, according to an illustrative
embodiment of the invention.
[0030] FIG. 5 includes schematic top and cross-sectional views of a
droplet recoiling on a ridge, according to an illustrative
embodiment of the invention.
[0031] FIGS. 6a-6c include top, cross-sectional, and
high-magnification scanning electron microscope (SEM) images of a
macro-scale ridge (height .about.150 .mu.m, width .about.200 .mu.m)
fabricated on a silicon wafer using laser-rastering, according to
an illustrative embodiment of the invention.
[0032] FIG. 6d includes high-speed photography images of droplet
impingement on the ridge of FIGS. 6a-6c, according to an
illustrative embodiment of the invention.
[0033] FIG. 7a is an SEM image of a macro-scale ridge (height
.about.100 .mu.m, width 200 .mu.m) milled on an anodized aluminum
oxide (AAO) surface, according to an illustrative embodiment of the
invention.
[0034] FIG. 7b is a high-magnification SEM image of the AAO surface
of FIG. 7a, showing nanoscale pores, according to an illustrative
embodiment of the invention.
[0035] FIG. 7c includes high-speed photography images of droplet
impingement on the ridge of FIG. 7a, according to an illustrative
embodiment of the invention.
[0036] FIG. 8 is a schematic perspective view of macro-scale
protrusions on a surface, according to an illustrative embodiment
of the invention.
[0037] FIG. 9a is an SEM image of macro-scale protrusions
(.about.50-100 .mu.m) fabricated on anodized titanium oxide (ATO)
surface, according to an illustrative embodiment of the
invention.
[0038] FIG. 9b is a high-magnification SEM image of the ATO surface
of FIG. 9a showing nanoscale features, according to an illustrative
embodiment of the invention.
[0039] FIG. 9c includes high-speed photography images of droplet
impingement on the surface of FIG. 9a, according to an illustrative
embodiment of the invention.
[0040] FIG. 10 includes a schematic cross-sectional view and a
detailed schematic cross-sectional view of a surface having a
macro-scale sinusoidal profile to trigger curvature in a receding
liquid film, according to an illustrative embodiment of the
invention.
[0041] FIG. 11a includes a photograph showing a macro-scale
sinusoidal surface fabricated on silicon and an image showing high
magnification SEM sub-micron features, according to an illustrative
embodiment of the invention.
[0042] FIG. 11b includes high-speed photography images of droplet
impingement on the surface of FIG. 11a, according to an
illustrative embodiment of the invention.
[0043] FIG. 12a is a schematic view of droplet impingement on a
solid surface at the instant of impact, according to an
illustrative embodiment of the invention.
[0044] FIG. 12b is a schematic view of droplet impingement on a
solid surface during spreading, according to an illustrative
embodiment of the invention.
[0045] FIG. 12c is a schematic view of droplet impingement on a
solid surface at the instant when spreading comes to a rest,
according to an illustrative embodiment of the invention.
DETAILED DESCRIPTION
[0046] It is contemplated that compositions, mixtures, systems,
devices, methods, and processes of the claimed invention encompass
variations and adaptations developed using information from the
embodiments described herein. Adaptation and/or modification of the
compositions, mixtures, systems, devices, methods, and processes
described herein may be performed by those of ordinary skill in the
relevant art.
[0047] Throughout the description, where devices and systems are
described as having, including, or comprising specific components,
or where processes and methods are described as having, including,
or comprising specific steps, it is contemplated that,
additionally, there are systems of the present invention that
consist essentially of, or consist of, the recited components, and
that there are processes and methods according to the present
invention that consist essentially of, or consist of, the recited
processing steps.
[0048] Similarly, where devices, mixtures, and compositions are
described as having, including, or comprising specific compounds
and/or materials, it is contemplated that, additionally, there are
mixtures and compositions of the present invention that consist
essentially of, or consist of, the recited compounds and/or
materials.
[0049] It should be understood that the order of steps or order for
performing certain actions is immaterial so long as the invention
remains operable. Moreover, two or more steps or actions may be
conducted simultaneously.
[0050] The mention herein of any publication, for example, in the
Background section, is not an admission that the publication serves
as prior art with respect to any of the claims presented herein.
The Background section is presented for purposes of clarity and is
not meant as a description of prior art with respect to any
claim.
[0051] Referring to FIG. 1a, in certain embodiments, a static
contact angle .theta. between a liquid and solid is defined as the
angle formed by a liquid drop 12 on a solid surface 14 as measured
between a tangent at the contact line, where the three
phases--solid, liquid, and vapor--meet, and the horizontal. The
term "contact angle" usually implies the static contact angle
.theta. since the liquid is merely resting on the solid without any
movement.
[0052] As used herein, dynamic contact angle, .theta..sub.d, is a
contact angle made by a moving liquid 16 on a solid surface 18. In
the context of droplet impingement, .theta..sub.d may exist during
either advancing or receding movement, as shown in FIGS. 1b and 1c,
respectively.
[0053] As used herein, a surface is "non-wetting" if it has a
dynamic contact angle with a liquid of at least 90 degrees.
Examples of non-wetting surfaces include, for example,
superhydrophobic surfaces and superoleophobic surfaces.
[0054] As used herein, contact angle hysteresis (CAH) is
CAH=.theta..sub.a-.theta..sub.r (2)
where .theta..sub.a and .theta..sub.r are advancing and receding
contact angles, respectively, formed by a liquid 20 on a solid
surface 22. Referring to FIG. 1d, the advancing contact angle
.theta..sub.a is the contact angle formed at the instant when a
contact line is about to advance, whereas the receding contact
angle .theta..sub.r is the contact angle formed when a contact line
is about to recede.
[0055] As used herein, "non-wetting features" are physical textures
(e.g., random, including fractal, or patterned surface roughness)
on a surface that, together with the surface chemistry, make the
surface non-wetting. In certain embodiments, non-wetting features
result from chemical, electrical, and/or mechanical treatment of a
surface. In certain embodiments, an intrinsically hydrophobic
surface may become superhydrophobic when non-wetting features are
introduced to the intrinsically hydrophobic surface. Similarly, an
intrinsically oleophobic surface may become superoleophobic when
non-wetting features are introduced to the intrinsically oleophobic
surface. Likewise, an intrinsically metallophobic surface may
become supermetallophobic when non-wetting features are introduced
to the intrinsically metallophobic surface.
[0056] In certain embodiments, non-wetting features are micro-scale
or nano-scale features. For example, the non-wetting features may
have a length scale L.sub.n (e.g., an average pore diameter, or an
average protrusion height) that is less than about 100 microns,
less than about 10 microns, less than about 1 micron, less than
about 0.1 microns, or less than about 0.01 microns. Compared to a
length scale L.sub.m associated with macro-scale features,
described herein, the length scales for the non-wetting features
are typically at least an order of magnitude smaller. For example,
when a surface includes a macro-scale feature that has a length
scale L.sub.m of 1 micron, the non-wetting features on the surface
have a length scale L.sub.n that is less than 0.1 microns. In
certain embodiments a ratio of the length scale for the macro-scale
features to the length scale for the non-wetting features (i.e.,
L.sub.m /L.sub.n) is greater than about 10, greater than about 100,
greater than about 1000, or greater than about 10,000.
[0057] As used herein, a "superhydrophobic" surface is a surface
having a static contact angle with water of at least 120 degrees
and a CAH of less than 30 degrees. In certain embodiments, an
intrinsically hydrophobic material (i.e., a material having an
intrinsic contact angle with water of at least 90 degrees) exhibits
superhydrophobic properties when it includes non-wetting features.
For superhydrophobicity, typically nano-scale non-wetting features
are preferred. Examples of intrinsically hydrophobic materials that
exhibit superhydrophobic properties when given non-wetting features
include: hydrocarbons, such as alkanes, and fluoropolymers, such as
teflon, trichloro(1H,1H,2H,2H-perfluorooctyl)silane (TCS),
octadecyltrichlorosilane (OTS),
heptadecafluoro-1,1,2,2-tetrahydrodecyltrichlorosilane, and
fluoroPOSS.
[0058] As used herein, a "superoleophobic" surface is a surface
having a static contact angle with oil of at least 120 degrees and
a CAH with oil of less than 30 degrees. The oil may be, for
example, a variety of liquid materials with a surface tension much
lower than the surface tension of water. Examples of such oils
include alkanes (e.g., decane, hexadecane, octane), silicone oils,
and fluorocarbons. In certain embodiments, an intrinsically
oleophobic material (i.e., a material having an intrinsic contact
angle with oil of at least 90 degrees) exhibits superoleophobic
properties when it includes non-wetting features. The non-wetting
features may be random or patterned. Examples of intrinsically
oleophobic materials that exhibit superoleophobic properties when
given non-wetting features include: teflon,
trichloro(1H,1H,2H,2H-perfluorooctyl)silane (TCS),
octadecyltrichlorosilane (OTS),
heptadecafluoro-1,1,2,2-tetrahydrodecyltrichlorosilane, fluoroPOSS,
and other fluoropolymers.
[0059] As used herein, a "supermetallophobic" surface is a surface
having a static contact angle with a liquid metal of at least 120
degrees and a CAH with liquid metal of less than 30 degrees. In
certain embodiments, an intrinsically metallophobic material (i.e.,
a material having an intrinsic contact angle with liquid metal of
at least 90 degrees) exhibits supermetallophobic properties when it
includes non-wetting features. The non-wetting features may be
random or patterned. Examples of intrinsically metallophobic
materials that exhibit supermetallophobic properties when given
non-wetting features include: teflon,
trichloro(1H,1H,2H,2H-perfluorooctyl)silane (TCS),
octadecyltrichlorosilane (OTS),
heptadecafluoro-1,1,2,2-tetrahydrodecyltrichlorosilane, fluoroPOSS,
and other fluoropolymers. Examples of metallophobic materials
include molten tin on stainless steel, silica, and molten copper on
niobium.
[0060] In certain embodiments, intrinsically hydrophobic materials
and/or intrinsically oleophobic materials include ceramics,
polymeric materials, fluorinated materials, intermetallic
compounds, and composite materials. Polymeric materials may
include, for example, polytetrafluoroethylene, fluoroacrylate,
fluoroeurathane, fluorosilicone, fluorosilane, modified carbonate,
chlorosilanes, silicone, and/or combinations thereof. Ceramics may
include, for example, titanium carbide, titanium nitride, chromium
nitride, boron nitride, chromium carbide, molybdenum carbide,
titanium carbonitride, electroless nickel, zirconium nitride,
fluorinated silicon dioxide, titanium dioxide, tantalum oxide,
tantalum nitride, diamond-like carbon, fluorinated diamond-like
carbon, and/or combinations thereof. Intermetallic compounds may
include, for example, nickel aluminide, titanium aluminide, and/or
combinations thereof.
[0061] As used herein, an intrinsic contact angle is a static
contact angle formed between a liquid and a perfectly flat, ideal
surface. This angle is typically measured with a goniometer. The
following publications, which are hereby incorporated by reference
herein in their entireties, describe additional methods for
measuring the intrinsic contact angle: C. Allain, D. Aussere, and
F. Rondelez, J. Colloid Interface Sci., 107, 5 (1985); R.
Fondecave, and F. Brochard-Wyart, Macromolecules, 31, 9305 (1998);
and A. W. Adamson, Physical Chemistry of Surfaces (New York: John
Wiley & Sons, 1976).
[0062] When a liquid droplet impacts a non-wetting surface, the
droplet will spread out on the surface and then begin to recoil.
For highly non-wetting surfaces, the droplet can completely rebound
from the surface. Through the impact dynamics, the shape of the
droplet is generally axisymmetric so that, at any point in time
during recoil, the wetted area is substantially circular. By
patterning the surface, however, this symmetry may be disrupted and
the impact dynamics may be altered or controlled. For example, by
controlling or defining macro-scale features on the surface, the
contact time of the droplet may be increased or decreased,
instabilities may be created that cause the droplet to break-up
into smaller droplets, and spatial control may be gained over how
long a particular drop, or part of that drop, is in contact with
the surface.
[0063] During the time of contact between a droplet and a surface,
heat, mass, and momentum diffuse between the droplet and the
surface. By controlling the time that a droplet contacts a
particular location on the surface, this diffusion may be optimized
both temporally and spatially. In certain embodiments, surface
patterns or features are developed that influence the recoil of
droplets in two distinct ways: (1) patterns that introduce
concavity to the receding boundary, and (2) patterns that introduce
surface curvature to the film in such a way that capillary pressure
delaminates the spread-out droplet from the surface.
[0064] The speed at which a spread-out droplet recedes depends not
only on the material properties of the droplet, but also the
properties of the surface the droplet contacts. On non-wetting
surfaces, the drop recoiling speed is reduced by the dissipation or
contact angle hysteresis from the surface. Variations in
dissipation may be achieved by changing the structure and/or
chemistry of the surface patterns that form the non-wetting
surface. For example, the density of patterns such as posts can
influence the recoiling speed of drops. Dissipation in the system
may be added using a variety of tools, such as flexible structures
at various length scales. In addition, while a pattern of posts can
break the symmetry of receding films, the drops may remain
convex.
[0065] In certain embodiments, surfaces are designed that introduce
concavity into the receding film. Using these designs, the surfaces
are tailored so that the exposure to droplets in certain regions is
longer than it is in other regions. In one embodiment, concavity
breaks the film into separate drops, and the concavity is augmented
by natural capillary instabilities. For example, the surface may be
patterned so the recoil of the drop in one direction is
significantly slower than in a perpendicular direction. The
resulting recoil forms a cylinder which quickly becomes concave and
breaks up into droplets via a Rayleigh-Plateau type
instability.
[0066] A limitation in the surface pinning approach is that it may
slow down the drop dynamics. The minimum contact time a drop makes
with a surface is believed to be minimized when that surface
approaches a 180 degree contact angle with no contact angle
hysteresis, the equivalent of impacting on a thin air layer. As
described herein, however, a shorter contact time is possible using
patterned surfaces. Specifically, if during the recoiling stage,
the contact line increases while the surface area decreases, there
are more fronts on which the droplet can recoil. It is therefore
possible for the drop to recede more quickly than if the drop were
receding symmetrically, so that the total contact time for the drop
is reduced. As described below, in certain embodiments, concavity
is introduced by speeding up the recoil of portions of the receding
film.
[0067] FIGS. 1a and 1b depict side and top views, respectively, of
a water droplet 100 bouncing on a superhydrophobic surface 102. The
surface 102 includes an array of 10 .mu.m square posts of silicon
spaced 3 .mu.m apart. The contact time in this case, measured from
the leftmost image to the rightmost in these figures, is about 19
ms. The scale bar 104 in the leftmost image of FIG. 1a is 3 mm.
FIG. 1b shows that the droplet spreads and recedes with a largely
symmetrical (circular) edge 106.
[0068] In certain embodiments, the devices and methods presented
herein reduce the contact time between an impinging droplet and a
surface by modifying surface textures associated with the surface.
Surprisingly, these devices and methods reduce the contact time to
below the theoretical limit indicated by Equation 1, above. In one
embodiment, by appropriately designing the superhydrophobic
surface, contact times are further decreased to about one half of
this theoretical limit.
[0069] In certain embodiments, the devices and methods described
herein incorporate macro-scale features (e.g., ridges, sinusoids,
protrusions) into a superhydrophobic surface to trigger controlled
asymmetry in the liquid film produced by droplet impingement. The
macro-scale features may have, for example, a height greater than
about 0.00001 mm, greater than about 0.0001 mm, greater than about
0.001 mm, greater than about 0.01 mm, greater than about 0.1 mm, or
greater than about 1 mm. Additionally, the macro-scale features may
have, for example, a spacing (e.g., a spacing between ridges,
peaks, or valleys) greater than about 0.00001 mm, greater than
about 0.0001 mm, greater than about 0.001 mm, greater than about
0.01 mm, greater than about 0.1 mm, or greater than about 1 mm.
[0070] Referring to FIGS. 2a-2d, the asymmetry in a liquid film
200, in the form of cracks 204, holes 202, and curvature,
introduced by the macro-scale features, leads to droplet recoiling
at multiple fronts and, hence, produces a significant reduction in
the contact time. This idea is distinctly different from previous
approaches which typically included smaller features (e.g., 100 nm)
and, more importantly, attempted to minimize the contact line
pinning between the drop and these features.
[0071] In one embodiment, a superhydrophobic surface 300 includes
macro-scale ridges 302 that trigger cracks in a liquid film upon
impingement of a droplet having radius R. As depicted in FIG. 3,
the ridges 302 have a ridge height A.sub.r and a ridge spacing
.lamda..sub.r. The ridges 302 may have any cross-sectional shape,
including curved and pointed (as shown in FIG. 3), triangular,
hemispherical, and/or rectangular. Typically, each ridge 302 has a
ridge length (along the surface 300) that is much greater than the
ridge height A.sub.r and/or ridge spacing .lamda..sub.r. For
example, a ridge 302 may have a ridge height A.sub.r of about 0.1
mm and a ridge length (e.g., along a ridge longitudinal axis) of
about 100 mm or more. To achieve or maintain superhydrophobicity,
the surface 300 includes non-wetting features 304 having a length
scale L.sub.n (e.g., an average diameter or cross-dimension). In
certain embodiments, the non-wetting features 304 are chosen so
that .theta..sub.d is greater than 90 degrees and CAH is less than
about 30 degrees, less than about 20 degrees, or less than about 10
degrees. As depicted, the non-wetting features may include smaller
features 306, if necessary, to facilitate non-wetting.
[0072] Referring again to FIGS. 1b and 1c, when a liquid droplet
impinges a solid surface, the droplet spreads into a thin lamella
or film having a thickness h. In certain embodiments, a ratio of
the ridge height A.sub.r to the thickness h (i.e., A.sub.r/h) is
greater than about 0.01. For example, A.sub.r/h may be from about
0.01 to about 100, from about 0.1 to about 10, or from about 0.1 to
about 5. In certain embodiments, a ratio of the ridge spacing
.lamda..sub.r to the ridge height A.sub.r is greater than or equal
to about 1.
[0073] FIGS. 4 and 5 are schematic diagrams showing a droplet 400
recoiling on a flat surface 402 and a droplet 500 recoiling on a
ridge 502, respectively. As depicted, on the flat surface 402 of
FIG. 4, droplet recoil is typically symmetric, with the droplet 400
remaining substantially circular over time. By comparison, on the
ridge 502 of FIG. 5, droplet recoil is asymmetric, with thinner
portions 504 (having thickness h.sub.1) at the ridge 502 recoiling
faster than thicker portions 506 (having thickness h.sub.2)
adjacent to the ridge 502. The thinner portions 504 may be referred
to as cracks. As depicted, the ridges 502 create cracks or pathways
that promote droplet fracture. These pathways cause the contact
line to penetrate into the droplet 500 along the ridge 502, thereby
increasing the contact line length during droplet recoil and
reducing contact time.
[0074] FIGS. 6a-6d and 7a-7c depict experimental examples of
surfaces for triggering cracks in a liquid film upon droplet
impingement, in accordance with certain embodiments of the
invention. FIGS. 6a-6d show photographs of droplet impingement on a
ridge 600 fabricated on a silicon surface 602 using
laser-rastering. FIGS. 7a-7c show droplet impingement on a ridge
700, of similar dimensions, milled on an aluminum surface 702,
followed by anodization to create nano-scale pores. Both surfaces
602, 702 were made superhydrophobic by depositing
trichloro(1H,1H,2H,2H-perfluorooctyl)silane. The diameter of the
droplet before impingement was 2.6 mm (i.e., R=1.3 mm) and the
impact velocity was 1.8 m/s.
[0075] FIGS. 6a-6c show the details of the silicon surface 602 with
the help of SEM images of the ridge 600, which had a ridge height
A.sub.r of about 150 .mu.m and width W of about 200 .mu.m. These
figures also show the non-wetting features achieved to maintain
superhydrophobicity. The dynamics of droplet impingement are shown
in FIG. 6d, which reveals that a droplet 604 deforms asymmetrically
and develops a crack 606 along the ridge 600. The crack 606 creates
additional recoiling fronts which propagate rapidly along the ridge
600 until the film is split into multiple drops 608. The contact
time in this case was only 7 ms--almost one-third of the contact
time for the example shown in FIG. 1, and about 50% less than the
theoretical prediction from Equation 1 (i.e., 13.5 ms) with
.phi.=0.
[0076] As mentioned above, the ridges may have any cross-sectional
shape, including the approximately rectangular cross-section
depicted in FIG. 6a. Additionally, a ratio of the ridge height
A.sub.r to the width W (i.e., A.sub.r/W) may be, for example, from
about 0.1 to about 10.
[0077] FIGS. 7a-7c show similar contact time reduction achieved on
the anodized aluminum oxide (AAO) surface 702. The contact time in
this case was about 6.3 ms, which is over 50% smaller than the
theoretical prediction of Equation 1 (i.e., 13.5 ms). The details
of the surface 702 are shown in FIGS. 7a and 7b with the help of
SEM images revealing the ridge texture and the nanoporous
structure. The scale bars 704, 706 in FIGS. 7a and 7b are 100 .mu.m
and 1 .mu.m, respectively. Referring to FIG. 7c, the dynamics of
droplet impingement show behavior similar to that seen on the
laser-rastered silicon surface. For example, a droplet 708 deforms
asymmetrically with a crack 710 developing along the ridge 700,
thereby causing the liquid film to recoil rapidly along the ridge
700 and split into multiple drops 712.
[0078] In certain embodiments, the reduction of contact time, as
shown in the examples in FIGS. 6a-6d through 7a-7c, is more a
result of surface design or structure, rather than the surface
material or other surface property. For example, although the
surfaces in these examples were produced by completely different
methods (i.e., laser-rastering in FIG. 6a-6d, and milling and
anodizing in FIGS. 7a-7c), the similar macro-scale features (e.g.,
ridge size and shape) of the two surfaces resulted in similar drop
impingement dynamics.
[0079] In another embodiment, a superhydrophobic surface 800
includes macro-scale protrusions 802 that nucleate holes in a
liquid film upon impingement of a droplet having radius R. The
protrusions 802 may have any shape, including spherical,
hemispherical, dome-shaped, pyramidal, cube-shaped, and
combinations thereof. For example, in the embodiment depicted in
FIG. 8, the protrusions 802 are substantially dome-shaped with a
protrusion height A.sub.p and are spaced in grid with a protrusion
spacing .lamda..sub.p. To achieve or maintain superhydrophobicity,
the surface 800 includes non-wetting features having a length scale
L.sub.n. As mentioned above, the non-wetting features are chosen so
that .theta..sub.d is greater than 90 degrees and CAH is less than
about 30 degrees, less than about 20 degrees, or less than about 10
degrees.
[0080] In certain embodiments, a ratio of the protrusion height
A.sub.p to the lamella or film thickness h (i.e., A.sub.p/h) is
greater than or equal to about 0.01. For example, A.sub.p/h may be
from about 0.01 to about 100, or from about 0.1 to about 10, or
from about 0.1 to about 3. In certain embodiments, a ratio of the
protrusion spacing .lamda..sub.p to the protrusion height A.sub.p,
(i.e., .lamda..sub.p/A.sub.p) is greater than or equal to about
2.
[0081] FIGS. 9a-9c depict an example surface 900 that includes
macro-scale protrusions 902 for nucleating a droplet upon
impingement. The surface 900 in this example is made of anodized
titanium oxide (ATO). Details of the surface 900 are shown in the
SEM images. The scale bars 904, 906 in FIGS. 9a and 9b are 100
.mu.m and 4 .mu.m, respectively. As depicted, the surface includes
macro-scale protrusions 902, of about 20-100 .mu.m, which further
contain non-wetting features to maintain superhydrophobicity.
Referring to the highspeed photography images in FIG. 9c, after a
droplet 908 impinges the ATO surface (at t=0), the droplet 908
spreads into a thin film (at t=2 ms) that destablizes internally
and nucleates into several holes 910 (at t=4 ms). The holes 910
grow until their boundaries meet or collide, thereby causing
fragmentation of the entire film. Each hole 910 creates additional
fronts where the film may recoil, thus resulting in a significant
reduction in contact time. The contact time in this example was
about 8.2 ms, which is again much smaller than the theoretical
prediction (i.e., 13.5 ms) from Equation 1 with .phi.=0.
[0082] In the depicted embodiments, the protrusions increase the
contact line of the droplet by introducing holes in the droplet.
The holes increase or open during recoil, thereby reducing the
contact time.
[0083] In another embodiment, a superhydrophobic surface 1000
includes macro-scale curved profiles 1002 that introduce curvature
in a liquid film upon impingement of a droplet having radius R. The
curved profiles 1002 may have any shape, including sinusoidal
and/or parabolic (e.g., piece-wise). Compared to the ridges 302 and
protrusions 802, described above, the curved profiles 1002 are
generally smoother, with less abrupt variations in surface height.
For example, in the embodiment depicted in FIG. 10, the curved
profiles 1002 define a sinusoidal pattern of peaks and valleys on
the surface. The sinusoidal pattern has a wave amplitude A.sub.c
and a wave spacing .lamda..sub.c (i.e., the distance from a peak to
a valley). The wave spacing .lamda..sub.c may also be referred to
as half the period of the sinusoidal pattern.
[0084] In certain embodiments, the surface 1000 includes curvature
along more than one direction. For example, a height of surface
1000 may vary sinusoidally along one direction and sinusoidally
along another, orthogonal direction.
[0085] To achieve or maintain superhydrophobicity, the surface 1000
includes non-wetting features having a length scale L.sub.n. As
mentioned above, the non-wetting features are chosen so that
.theta..sub.d is greater than 90 degrees and CAH is less than about
30 degrees, less than about 20 degrees, or less than about 10
degrees.
[0086] In certain embodiments, a ratio of the wave amplitude
A.sub.c to the thickness h (i.e., A.sub.c/h) is greater than or
equal to about 0.01. For example, A.sub.c/h may be from about 0.01
to about 100, or from about 0.1 to about 100, or from about 0.1 to
about 50, or from about 0.1 to about 9. In certain embodiments, a
ratio of the wave spacing .lamda..sub.c to the wave amplitude
A.sub.c (i.e., .lamda..sub.c/A.sub.c) is greater than or equal to
about 2. For example, .lamda..sub.c/A.sub.c may be from about 2 to
about 500, or from about 2 to about 100.
[0087] FIG. 11a depicts an example of a sinusoidal curved surface
1100 fabricated on silicon using laser rastering. The details of
the surface 1100 are shown with the help of SEM images. The wave
amplitude A.sub.c of the sinusoidal pattern was about 350 .mu.m
while its period (i.e., twice the wave spacing .lamda..sub.c) was 2
mm. The surface 1100 was made superhydrophobic by depositing
trichloro(1H,1H,2H,2Hperfluorooctyl)silane. Referring to FIG. 11b,
the dynamics of droplet impingement on the surface 1100 reveal that
a droplet 1102 adopts the curved profile of the surface 1100 while
spreading and becomes a thin film of varying thickness. The film
thickness is smallest at a crest or peak 1104 of the sinusoidal
surface 1100 where the film recedes fastest, thereby causing the
film to split across the crest 1104 and break into multiple drops
1106. The contact time in this example was only about 6 ms, which
is again well over 50% smaller than the theoretical prediction of
Equation 1 (i.e., 13.5 ms).
[0088] As described above with respect to FIGS. 10, 11a, and 11b,
in certain embodiments, the contact time of the drop is reduced by
controlling the local curvature of the surface. If the surface is
curved so that part of the film covers a concave region, one of two
scenarios may occur--both of which decrease the total contact time
of the film on the surface. In one scenario, the film spreads over
the concavity so that the thickness is nearly uniform. If the film
is making contact with the curved surface, then the film is also
curved, in which case the film curvature, along with surface
tension, causes a pressure gradient that lifts the film off of the
surface as quickly as the edges recoil. In the other scenario, the
film spreads over the concavity in a way that the film surface is
flat (i.e., not curved). In this case the film thickness is not
uniform and, along contours where the film is thinner, the drop
recoils more quickly than along areas where the film is thicker. As
discussed above, by forming a hybrid surface of linked concave
cusps, the contact time may be reduced below the theoretical limit
defined by Equation 1.
[0089] When a liquid droplet 1200 of diameter D.sub.o impinges a
solid surface 1202 with velocity V.sub.c, the droplet 1200 spreads
into a thin lamella (film) 1204 of thickness h, eventually reaching
a maximum diameter D.sub.max, as shown in FIGS. 12a, 12b, and 12c.
h can be estimated by applying mass conservation at the spherical
droplet state, shown in FIG. 12a, and the lamella state, shown in
FIG. 12c, with the assumptions that there is negligible mass loss
(e.g., due to splashing or evaporation) during spreading and the
lamella 1204 is substantially uniform in thickness in time and
space, on average. With these assumptions, the mass of the droplet
1200 when equated at the spherical droplet state and the lamella
state yields:
.rho. .pi. 6 D o 3 = .rho. .pi. 4 D max 2 h , ( 3 )
##EQU00002##
where p is the density of droplet liquid. Solving Equation 3 for h
gives:
h = 2 D o 3 .xi. max 2 , ( 4 ) ##EQU00003##
where .zeta..sub.max=D.sub.max/D.sub.c is the maximum spread factor
of the impinging droplet. To calculate .zeta..sub.max, an energy
balance model may be used. According to this model, .zeta..sub.max
is given as:
.xi. max = We + 12 3 ( 1 - cos .theta. a ) + 4 ( We / Re ) , ( 5 )
##EQU00004##
where .theta..sub.a is the advancing contact angle formed by a
droplet of liquid on the solid surface 1202,
We=.rho.V.sub.o.sup.2D.sub.o/.gamma. is the droplet Weber number,
and Re=.rho.V.sub.oD.sub.o/.mu. is the droplet Reynolds number
before impingement. Here .gamma. and .mu. are the surface tension
and dynamic viscosity of the droplet liquid, respectively. Equation
5 can be simplified further by approximating the value of
expression 3(1-cos .theta..sub.a) to 6 as .theta..sub.a, at
maximum, can be 180.degree.. With this simplification, Equation 5
becomes:
.xi. max = We + 12 6 + 4 ( We / Re ) , ( 6 ) ##EQU00005##
Thus, once .zeta..sub.max is calculated from Equation 6, h can be
estimated using Equation 4.
[0090] The devices and methods described herein have a wide range
of applications, including rainproof products, wind turbines, steam
turbine blades, aircraft wings, and gas turbine blades. Table 1
presents typical droplet radius values for several of these
applications. As indicated, for rainproof products and wind turbine
applications, droplet radius values may be from about 0.1 mm to
about 5 mm. Similarly, for steam turbine blades, aircraft icing,
and gas turbine blade applications, droplet radius values may be
from about 0.01 mm to about 5 mm. In one embodiment, for rainproof
products and wind turbine applications, lamella thickness values
are from about 0.01 mm to about 1 mm, and .zeta..sub.max values are
from about 5 to about 100. In another embodiment, for steam turbine
blades, aircraft icing, and gas turbine blade applications, lamella
thickness values are from about 0.001 mm to about 1 mm, and
.zeta..sub.max values are from about 10 to about 500.
[0091] In certain embodiments, Table 1 is used to identify
appropriate dimensions for the features described above (i.e.,
ridges, protrusions, and curved profiles) for reducing the contact
time between an impinging droplet and a surface. For example,
referring to Table 1, if the intended application is rainproof
products and the feature type is ridges, then appropriate feature
dimensions (in mm) are 0.0001<A.sub.r and
.lamda..sub.r.gtoreq.0.0001. Likewise, if the intended application
is gas turbine blades and the feature type is protrusions, then
appropriate feature dimensions (in mm) are 0.00001<A.sub.p and
.lamda..sub.p.gtoreq.0.00002.
[0092] As indicated in Table 1, A.sub.r, A.sub.p, or A.sub.c may be
greater than 0.00001 mm, and .lamda..sub.r, .lamda..sub.p, or
.lamda..sub.c may be greater than or equal to about 0.00001 mm. In
certain embodiments, A.sub.r, A.sub.p, or A.sub.c is greater than
about 0.0001 mm, greater than about 0.001 mm, greater than about
0.01 mm, greater than about 0.1 mm, or greater than about 1 mm. In
certain embodiments, A.sub.r, A.sub.p, or A.sub.c is from about
0.00001 mm to about 0.001 mm, from about 0.0001 mm to about 0.01
mm, from about 0.001 mm to about 0.1 mm, or from about 0.01 mm to
about 1 mm. In certain embodiments, .lamda..sub.r, .lamda..sub.p,
or .lamda..sub.c is greater than about 0.0001 mm, greater than
about 0.001 mm, greater than about 0.01 mm, greater than about 0.1
mm, or greater than about 1 mm. In certain embodiments,
.lamda..sub.r, .lamda..sub.p, or .lamda..sub.c is from about
0.00001 mm to about 0.001 mm, from about 0.0001 mm to about 0.01
mm, from about 0.001 mm to about 0.1 mm, or from about 0.01 mm to
about 1 mm.
TABLE-US-00001 TABLE 1 Ranges for droplet radius and macro-scale
feature dimensions. Impact Droplet Ve- Lamella Feature Appli-
Radius, locity, Thickness, Dimensions* cation R (mm) V (m/s) h (mm)
Feature Type (mm) Rainproof 0.1-5 0.5-20 0.01-1 Type (i): 0.0001
< A.sub.r, products ridges .lamda..sub.r .gtoreq. 0.0001 &
wind Type (ii): 0.0001 < A.sub.p, turbine protrusions
.lamda..sub.p .gtoreq. 0.0002 Type (iii): 0.0001 < A.sub.c,
curvature 0.0002 .ltoreq. .lamda..sub.c Steam 0.01-5 0.5-200
0.001-1 Type (i): 0.00001 < A.sub.r, turbine ridges
.lamda..sub.r > 0.00001 blades, Type (ii): 0.00001 < A.sub.p,
Aircraft protrusions .lamda..sub.p .gtoreq. 0.00002 icing, Type
(iii): 0.00001 < A.sub.c, Gas curvature 0.00002 .ltoreq.
.lamda..sub.c turbine blades
[0093] In alternative embodiments, the devices and methods
described herein apply to droplets of oil-based liquids impinging
on an oleophobic surface or a superoleophobic surface. In this
case, the macro-scale features, such as ridges, protrusions, and
sinusoidal patterns, may produce oil droplet impingement dynamics
that are similar to those shown and described for water droplets
impinging a hydrophobic or superhydrophobic surface.
[0094] In certain embodiments, when a water droplet impinges a
surface that is hot enough to vaporize the liquid quickly and
generate sufficient pressure, the droplet can spread and rebound
without ever touching the surface, mimicking a situation seen in
superhydrophobic surfaces. This so-called Leidenfrost phenomenon is
an example of a non-wetting situation without the surface being
superhydrophobic. In one embodiment, the macro-scale features
applied to this type of surface are effective in reducing the
contact time of an impinging droplet. Specifically, the droplet
dynamics are similar to those described above for the
superhydrophobic surfaces, and the contact time reduction is of
similar magnitude (.about.50% of the theoretical limit). In one
embodiment, to achieve the desired non-wetting behavior, the
surface is heated to a temperature greater than the Leidenfrost
temperature.
[0095] Blades of steam and gas turbines are sometimes fouled by
metallic fragments that are produced due to erosion/corrosion of
intermediary equipment in the power cycle. These fragments are
carried along with the working fluid (steam or combustion gases, as
the case may be) and melt when they reach regions of high
temperatures. The melted liquid impinges upon turbine blades and
gets stuck thereby deteriorating aerodynamical performance and
hence turbine power output. Our surface designs can solve this
problem by rapidly repelling the impinging molten liquid before it
can freeze on blade surfaces.
EXPERIMENTAL EXAMPLES
[0096] As described herein, a series of experiments were conducted
to measure and visualize the impingement of droplets on surfaces
having macro-scale features. A high speed camera system (Model SA
1.1, PHOTRON USA, San Diego, Calif.) was utilized to capture a
sequence of images of the droplet impingement. Droplets of
controlled volume (10 .mu.L) were dispensed using a syringe pump
(HARVARD APPARATUS, Holliston, Mass.) using a 26 gauge stainless
steel needle. Droplet impact velocity was controlled by setting the
needle at a certain height (150 mm) above the surface. Contact
times were determined from the images by identifying the time
difference between the point of initial droplet contact with the
surface and the subsequent rebound of liquid from the surface.
[0097] Images of macro-scale ridges and droplets impinging on the
ridges are provided in FIGS. 6a-6d and 7a-7c, in accordance with
certain embodiments of the invention. FIGS. 6a-6d show photographs
of droplet impingement on a ridge 600 fabricated on a silicon
surface 602 using laser-rastering. FIGS. 7a-7c show droplet
impingement on a ridge 700, of similar dimensions, milled on an
aluminum surface 702, followed by anodization to create nano-scale
pores. Both surfaces 602, 702 were made superhydrophobic by
depositing trichloro(1H,1H,2H,2H-perfluorooctyl)silane. The
diameter of the droplet before impingement was 2.6 mm (i.e., R=1.3
mm) and the impact velocity was 1.8 m/s. As discussed in detail
above, the contact times achieved with the macro-scale ridges were
about 50% less than the theoretical prediction from Equation 1
(i.e., 13.5 ms) with .phi.=0.
[0098] Images of macro-scale protrusions and droplets impinging on
the protrusions are provided in FIGS. 9a-9c, in accordance with
certain embodiments of the invention. The surface 900 in this
example is made of anodized titanium oxide (ATO). Details of the
surface 900 are shown in the SEM images. The scale bars 904, 906 in
FIGS. 9a and 9b are 100 .mu.m and 4 .mu.m, respectively. As
depicted, the surface includes macro-scale protrusions 902, of
about 20-100 .mu.m, which further contain non-wetting features to
maintain superhydrophobicity. As discussed in detail above, the
contact times achieved with the macro-scale protrusions was about
half of the theoretical prediction (i.e., 13.5 ms) from Equation 1
with .phi.=0.
[0099] Images of macro-scale curvature and droplets impinging on
the curvature are provided in FIGS. 11a and 11b, in accordance with
certain embodiments of the present invention. As discussed above,
the sinusoidal curved surface 1100 was fabricated on silicon using
laser rastering. The details of the surface 1100 are shown with the
help of SEM images. The wave amplitude A, of the sinusoidal pattern
was about 350 .mu.m while its period (i.e., twice the wave spacing
.lamda..sub.c) was 2 mm. The surface 1100 was made superhydrophobic
by depositing trichloro(1H,1H,2H,2Hperfluorooctyl)silane. The
contact time in this example was only about 6 ms, which is again
well over 50% smaller than the theoretical prediction of Equation 1
(i.e., 13.5 ms).
Equivalents
[0100] While the invention has been particularly shown and
described with reference to specific preferred embodiments, it
should be understood by those skilled in the art that various
changes in form and detail may be made therein without departing
from the spirit and scope of the invention as defined by the
appended claims.
* * * * *