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      Aerodynamics-assisted, efficient and scalable kirigami fog collectors

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          Abstract

          To address the global water shortage crisis, one of the promising solutions is to collect freshwater from the environmental resources such as fog. However, the efficiency of conventional fog collectors remains low due to the viscous drag of fog-laden wind deflected around the collecting surface. Here, we show that the three-dimensional and centimetric kirigami structures can control the wind flow, forming quasi-stable counter-rotating vortices. The vortices regulate the trajectories of incoming fog clusters and eject extensive droplets to the substrate. As the characteristic structural length is increased to the size of vortices, we greatly reduce the dependence of fog collection on the structural delicacy. Together with gravity-directed gathering by the folds, the kirigami fog collector yields a collection efficiency of 16.1% at a low wind speed of 0.8 m/s and is robust against surface characteristics. The collection efficiency is maintained even on a 1 m 2 collector in an outdoor setting.

          Abstract

          Water shortage not only occurs in arid regions, but also in humid area with little precipitation, despite abundant fog. Authors develop robust and scalable 3D centimetric kirigami structures to control wind flow and regulate the trajectories of incoming fog, yielding high fog collection efficiency.

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          A multi-structural and multi-functional integrated fog collection system in cactus

          Many plants and animals have evolved intriguing wetting properties; these special abilities result from the unique micro- and nano-scale structural features on their surfaces1 2 3 4 5 6. For example, certain beetles living in the Namib Desert can collect water from the fog on their backs4. Spider silks can also harvest water from humid air using the periodic spindle-knots and joints5. The gradient of surface-free energy7 8 and gradient of Laplace pressure9 10 11 are believed to be the primary driving forces behind these phenomena. Many members of the Cactaceae family can survive in highly arid deserts12. In addition to the adaptive characteristics that minimise water loss13 14, some species appear to use fog as an additional water supply by using spines15 16 17 that fulfil multiple functions14 15 18. Despite the considerable amount of research that has been performed on the Cactaceae family, the process of fog harvesting using spines is still poorly understood. Here we demonstrate that the cactus O. microdasys, which originates from the Chihuahua Desert, has an integrated multi-functional system that facilitates efficient fog collection. This unique fog collection system can be attributed to the integration of its multi-level surface structures. Results Appearance and surface structures The optical images of a representative O. microdasys stem in Fig. 1a–c illustrate the structural characteristics of this plant. Clusters of needle-like spines and trichomes grow as a well-distributed array on the stem's surface with distances ranging from ∼7 to 23 mm (Fig. 1a). Together, the top-view image in Fig. 1b and the side-view image in Fig. 1c illustrate a single cluster containing ∼100 spines. These spines grow in arbitrary directions with an average angle of 18.1±5.3° between the nearest two spines, forming a hemispherical structure. The spines range from ∼800 to 2,500 μm in length and ∼30 to 65 μm in diameter in the middle portion. The dotted line in Fig. 1c shows the trichomes at the base of the spines; these trichomes also form a hemispherical structure (see also Supplementary Fig. S1). To investigate these structures in detail, we used a scanning electron microscope (SEM) to observe an individual spine (see Fig. 1d–h, Supplementary Fig. S2, and Supplementary Fig. S3). Figure 1d shows that the spine is composed of three parts with different structural features, the tip contains oriented barbs, the middle contains gradient grooves and the base contains belt-structured trichomes. The spine has a conical shape with an apex angle (2α) of 12.3±1.6° (Fig. 1e). The magnified image of the barb in Fig. 1h also reveals a conical shape (apex angle 2β: 19.5±3.3°) with aligned grooves. The magnified images of the middle portion of the spine reveal multi-level grooves. The first-level grooves (the epidermal cells of the cactus spines)19 20 are microgrooves and have a gradient in width along the spine, from an average of ∼6.8 μm near the base to an average of ∼4.3 μm near the tip (Fig. 1f–g and Supplementary Fig. S2a,b). The second-level grooves (the folding sculptures of the epidermal cell)19 are primarily submicrogrooves lacking an obvious gradient in width and are characterized with a constant value of ∼0.6 μm over the entire length of the spine (Supplementary Fig. S3). The subtle integration of these structures (that is, conical spines and barbs, oriented barbs, gradient grooves and belt-structured trichomes) may contribute to the superior ability of these structures to collect fog. Fog collection ability The fog collection ability of the cactus O. microdasys was investigated using a saturated fog flow with a velocity of ∼20 to 30 cm s−1 (see Methods); the movement of the water drops was recorded by a charge-coupled device camera in time-lapse mode5. We placed a single spine at multiple tilt angles (90°, 45°, −45°, −90° and 0°) to determine the effects of the spine's growing direction on the directional movement behaviour of the water drops (Fig. 2). For each case, even when the spine was vertically fixed with the tip pointing down (Fig. 2d), the water drops were directionally driven from the tip to the base side of the spine (black arrows in Fig. 2 and Supplementary Movie 1). These results indicate that the gravitational force of the water drop has little effect on the directional water collection performance. The spines' directions of growth from the cactus stem were not apparently a key factor in the directional movement of the water drops. Water collection process To determine the function of the barbs, spines and trichomes in the water collection process, we utilized a horizontal spine for our investigations (Fig. 3). By focusing on the behaviour of the water drops on the tip side of a spine covered with several oriented barbs, we observed the initial, simultaneous deposition of tiny water drops on the barbs (drop 1) and the spine (drop 2) (see Fig. 3a). As the deposition proceeded, growing drop 1 moved towards the base of the barb and coalesced with drop 2, forming the larger drop 1+2 (arrows in Fig. 3a). With a continuous deposition, drop 1+2 further coalesced with drop 3, which had been deposited on the adjacent barb. After water drop 1 moved away from the barb, a new cycle of water deposition and directional collection began. This process can be seen in Fig. 3a, with additional water drop 1′ depositing in the same location as the original drop 1. During this process, the gradient of the Laplace pressure between the two sides causes the water drops on the barbs to continuously move towards the base of the barbs. After the initial stage, the drops that were collected from the barbs or deposited directly from the fog could be observed on the tip side of the spine (identified by numbers 1–5 in Fig. 3b). As the water deposition continued, the drops increased in size; the tip-side drops coalesced and moved directionally along the spine (black arrows in Fig. 3b). For example, drops 1 to 2, 1+2 to 3, 1+2+3 to 4, ultimately forming a large drop 1+2+3+4+5 (see Supplementary Movie 2). These observations demonstrated that the water drops could move from the tip to the base of the spine with the driving forces attributed to the gradient of the surface-free energy and the gradient of the Laplace pressure. In addition, the oriented barbs on the tip side engendered an asymmetrical surface structure, similar to the butterfly wings2, which enabled the unidirectional rolling and spreading of the water drops21 22, further aiding the directional movement of the water drops towards the base of the spine. Figure 3c shows this directional movement in detail (see also Supplementary Figs S4 and S5 and Supplementary Movie 3). The individual drops that were collected on adjacent spines both moved to the base side that was covered with trichomes. The trichomes and the spines formed conical internal surfaces, similar to shorebird's beaks23, which can generate a strong capillary force. When the water drops contacted the trichomes, the drops were rapidly absorbed (Fig. 3c). Compared with the time-consuming transportation process (∼27 s), the absorption process was rapid (within a half second). The drops on adjacent spines also coalesced into one large drop that was absorbed by the trichomes (Supplementary Fig. S5). Another cycle of water collection began as drop 3 appeared on the upper spine and moved towards the trichomes. The rapid absorption process (that is, the rapid departure of the water drops) guaranteed the rapid regeneration of the fog collection process. As described in previous studies on various species, water drops can be absorbed into the stem14 16 18 19, especially in foggy areas; from there, they can be reserved in the mucilage cells containing polysaccharides with a high affinity to water that can reduce the evaporative loss13. The integration of the multiple functions within the spines and the trichomes, including water deposition, collection, transportation and absorption in the cactus, facilitated an efficient fog collection system. Discussion The unique structural features of the cactus, such as the spines and the barbs with aligned gradient grooves and the cooperation between the spines and the trichomes, contributed to this system's excellent functioning. To characterize the structure–function relationship in this efficient fog collection process, we propose a potential mechanism. Figure 4a shows an overview of the entire process of fog collection. ‘Deposition' initially occurs on the barb and the spine, with the water drops moving directionally along them. As the deposition proceeds and the water drops coalesce, these drops increase in size, leaving from the tip side of the spine (‘Collection'). The bigger drops are then further transported along the gradient grooves (‘Transportation') and absorbed through the trichomes at the base of the spines (‘Absorption'). The gradient of the Laplace pressure arising from the conical shape of the spine and the gradient of the surface-free energy arising from the gradient of the surface roughness along the spine are the two forces that drive the directional movement of the water drops. A water drop can be driven by chemical7 8, thermal24 25 and shape9 26 gradients. Specifically, a drop on a conical-shaped surface is often driven to the side with the larger radius due to the gradient of the Laplace pressure9. As illustrated in Fig. 4b, a cactus spine can be considered as a conical object with aligned grooves. This type of conical shape generates a Laplace pressure difference (ΔP curvature) between the two opposite sides of the drop5 9 as follows: where R is the local radius of the spine (R 1 and R 2 are the local radii of the spine at the two opposite sides of the drop), γ is the surface tension of water, R 0 is the drop radius, α is the half-apex angle of the conical spine, and dz is the incremental radius of the spine (Fig. 4b). The Laplace pressure on the region near the spine's tip (small radius R 1) is larger than that near the base (large radius R 2). This difference (ΔP curvature) within the water drop initiates a driving force that makes the drop move from the tip to the base side along the cactus spine. In addition to the gradient of the Laplace pressure, the gradient of the surface-free energy is another driving force. Specifically, the microgrooves on the cactus spines have a gradient in width. The microgrooves are sparser near the base (less rough) than near the tip (rougher) of the spine (Fig. 4c and Supplementary Fig. S2). This roughness can be described using Wenzel's equation27 as follows: where r is the roughness factor defined as the ratio of the actual surface area to the geometric projected area of a rough surface, and θ and θ w are the intrinsic and apparent contact angles, respectively. The gradient of roughness generates a gradient of wettability, (that is, a gradient of surface-free energy)28 29 30. For the surface of the cactus spines covered with vegetable wax19, the tip is rougher and more hydrophobic; whereas the base is less rough and less hydrophobic (see Supplementary Fig. S6). In other words, the tip of the spine has a lower surface-free energy than the base. This gradient of the surface-free energy produces a driving force F, driving the water drops collected on the tip directionally towards the base5 as described as follows: where θ A and θ R are the advancing and receding contact angles of water drops on the middle of the spine, respectively, and dl is the integral variable along the length of the middle of the spine from the region near the tip (l tip) to the region near the base (l base). The roughness arising from the microgrooves on the cactus spine enhances the gradient of the Laplace pressure (see Supplementary Fig. S7), contributing to the movement of the water drops along the cactus spines. The aligned grooves can also generate an anisotropic contact angle hysteresis (CAH)31 32 in the direction parallel or perpendicular to the grooves, enhancing the directional movement of the water drops along the grooves on the barbs and spines (See Supplementary Fig. S8). Specifically, a water drop moves more readily in the direction that is parallel to the aligned structures than in other directions33. The drop has a continuous, three-phase contact line along the grooves that reduces the energy barrier and therefore facilitates the spreading and moving of the drop34. Without a gradient in width along the cactus spine, the submicrogrooves further enhance this anisotropic CAH (Supplementary Fig. S3), facilitating the directional movement of the water drops along the barbs and the spines. In addition to the aligned grooves, the oriented barbs reduce the drop's ability to spread or move towards the tip side with the barbs, facilitating movement towards the base side lacking barbs. With an anisotropic CAH35, a water drop on a surface with asymmetrical structures has a preferred direction to spread or move2 21 22. Because the barbs orient in the direction towards the spine's base (Fig. 1e), the water drops prefer to spread and move along the oriented direction of the barbs. This CAH difference further aids the growth and movement of the water drops to the base side of the spine under deposition. These fog collection abilities have been examined using the mechanisms of a single spine. To extend this approach to a more complete system with tens of spines and trichomes in a single cluster (Fig. 1b), the cooperation among spines-trichomes, multiple spines and multiple trichomes in the collection process (Fig. 4d) must also be considered. In addition, the array of multiple clusters on the stem surface (Fig. 1a) may further enhance the fog collection ability. The integration of the multi-level structures and the consequent integration of the multi-functional abilities, including the deposition, collection, transportation and absorption of the water drops, may provide O. microdasys with an efficient fog collection system. The investigation into the structure–function relationship within this system may offer systematic opinions that can be used to design novel materials and devices to efficiently collect fog. By mimicking the primary characters of the areole system of O. microdasys and considering the existing artificial fog collectors36 37 38, an artificial system with similar mechanisms to cactus is currently being developed, as shown in Supplementary Fig. S9 and Supplementary Note 1. Owing to its high efficiency and portability, this artificial system may find applications in the self water supply for plants and human beings that live in arid areas (Supplementary Fig. S9). Methods Materials The cactus (Opuntia microdasys) was purchased from the Chinese Academy of Agricultural Sciences, Beijing, China. The clusters of the spines and trichomes, and the single spine were carefully selected and fixed on the sample frame. Characterization of the microstructures The optical images of the cactus were recorded by a digital camera (Canon Powershot A1100IS). The microstructures of the spines, the barbs and the trichomes were observed by a field-emission scanning electron microscope (JEOL, JSM-6700 F, Japan) at an accelerating voltage of ∼3.0 KV. Fog collection experiment and observation The cactus spine was carefully fixed on a frame and investigated under a saturated fog flow with a velocity of ∼20–30 cm s−1 (by an ultrasonic humidifier using Milli-Q water). The behaviour of the water drops was recorded by the optical contact angle meter system with charge-coupled device components. (OCA 40, Dataphysics Instruments GmbH, Germany). Author contributions J.J., T.Z. and R.F. performed the experiments. J.J., H.B., Y.Z. and L.J. collected and analysed the data and proposed the mechanism of the multi-structure and the multi-function integrated fog collection system of cactus. H.B., J.J., Y.Z. wrote the text. L.J. conceived the project and designed the experiments. Additional information How to cite this article: Ju, J. et al. A multi-structural and multi-functional integrated fog collection system in cactus. Nat. Commun. 3:1247 doi: 10.1038/ncomms2253 (2012). Supplementary Material Supplementary Figures, Supplementary Note and Supplementary References Supplementary Figures S1-S9, Supplementary Note and Supplementary References Supplementary Movie 1 In situ observation of directional water collection on a vertically placed spine of the cactus (Opuntia microdasys) with the tip pointing down. The water drops collected at the tip move against gravitational force toward the base of the spine. Supplementary Movie 2 In situ observation of directional water collection on a horizontal spine of the cactus (Opuntia microdasys). The water drops move from the tip to the base side of the spine. Supplementary Movie 3 In situ observation of fog collection on two adjacent spines of the cactus (Opuntia microdasys). The water drops are collected on single spines at first and are quickly absorbed once they contact with the trichomes surrounding the base of the spines.
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            Directional water collection on wetted spider silk.

            Many biological surfaces in both the plant and animal kingdom possess unusual structural features at the micro- and nanometre-scale that control their interaction with water and hence wettability. An intriguing example is provided by desert beetles, which use micrometre-sized patterns of hydrophobic and hydrophilic regions on their backs to capture water from humid air. As anyone who has admired spider webs adorned with dew drops will appreciate, spider silk is also capable of efficiently collecting water from air. Here we show that the water-collecting ability of the capture silk of the cribellate spider Uloborus walckenaerius is the result of a unique fibre structure that forms after wetting, with the 'wet-rebuilt' fibres characterized by periodic spindle-knots made of random nanofibrils and separated by joints made of aligned nanofibrils. These structural features result in a surface energy gradient between the spindle-knots and the joints and also in a difference in Laplace pressure, with both factors acting together to achieve continuous condensation and directional collection of water drops around spindle-knots. Submillimetre-sized liquid drops have been driven by surface energy gradients or a difference in Laplace pressure, but until now neither force on its own has been used to overcome the larger hysteresis effects that make the movement of micrometre-sized drops more difficult. By tapping into both driving forces, spider silk achieves this task. Inspired by this finding, we designed artificial fibres that mimic the structural features of silk and exhibit its directional water-collecting ability.
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              Methods of Digital Video Microscopy for Colloidal Studies

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                Author and article information

                Contributors
                shuyang@seas.upenn.edu
                Journal
                Nat Commun
                Nat Commun
                Nature Communications
                Nature Publishing Group UK (London )
                2041-1723
                16 September 2021
                16 September 2021
                2021
                : 12
                : 5484
                Affiliations
                [1 ]GRID grid.25879.31, ISNI 0000 0004 1936 8972, Department of Materials Science and Engineering, , University of Pennsylvania, ; Philadelphia, PA 19104 USA
                [2 ]GRID grid.25879.31, ISNI 0000 0004 1936 8972, Department of Mechanical Engineering and Applied Mechanics, , University of Pennsylvania, ; Philadelphia, PA 19104 USA
                [3 ]GRID grid.64924.3d, ISNI 0000 0004 1760 5735, Key Laboratory of Bionic Engineering, Ministry of Education, , Jilin University, ; Changchun, 130022 China
                Author information
                http://orcid.org/0000-0001-5810-1312
                http://orcid.org/0000-0002-6710-6710
                http://orcid.org/0000-0003-0208-9996
                http://orcid.org/0000-0002-2566-2663
                http://orcid.org/0000-0001-8834-3320
                Article
                25764
                10.1038/s41467-021-25764-4
                8445985
                34531392
                967a1f9e-db31-4071-ab93-845d3e2eab3f
                © The Author(s) 2021

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 25 July 2021
                : 13 August 2021
                Funding
                Funded by: FundRef https://doi.org/10.13039/501100001809, National Natural Science Foundation of China (National Science Foundation of China);
                Award ID: 51875244
                Award ID: U19A20103
                Award Recipient :
                Funded by: FundRef https://doi.org/10.13039/100000001, National Science Foundation (NSF);
                Award ID: DMR-1709763
                Award ID: CMMI-1745912
                Award Recipient :
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                energy harvesting,materials for energy and catalysis
                Uncategorized
                energy harvesting, materials for energy and catalysis

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