Nature-inspired reentrant surfaces
Graphical abstract
Introduction
Reentrant structure, where a concave topographic curvature exists from the top to the bottom of the structure, has been elegantly designed into various shapes ranging from mushroom, overhang, trapezoid, undercut, spatula, taper and sphere to sharp edge in the past several decades [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17]. Relying on the rapid development of manufacturing techniques including printing, lithography, self-assembly, soft replication and microfluidics, these complex reentrant structures can be facilely constructed to engineer functional surfaces with super-repellency to virtually all fluids [1], [3], [4], [5], [6], strong and adaptive adhesion to smooth and rough surfaces [7], [8], [9], [10], [12], [13], as well as preferential fluid navigation in a desired direction [14], [15], [16], [17]. Benefiting from these superior capabilities, such reentrant-decorated surfaces have received an enormous amount of interest, from the academic research to the industrial worlds, in diverse applications including self-cleaning, anti-fouling, anti-virus, functional textiles, droplet manipulation, microfluidics, oil–water separation, Raman scattering, solar evaporation, water desalination, adhesives, bioelectronics, sensors, soft grippers and robots [1], [4], [7], [12], [13], [16], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28].
The custom design of reentrant surfaces with different functions is initially inspired by fascinating reentrant surfaces in nature, as representatively exemplified by springtail cuticle [18], [29], [30], [31], gecko toe [32], [33], [34], [35], [36], [37], and pitcher plant peristome [38], [39], [40], [41], [42], [43]. Specifically, overhang structures on the hierarchically arranged and highly textured springtail cuticle can effectively prevent outside fluids from wetting the cuticle cavities so that springtails can freely survive in various fluid environments [18]. Spatula-shaped reentrant structures at the terminal end of seta promise geckos to intimately contact with various rough surfaces, attaching adaptively and climbing freely [36]. Sharp-edge reentrant structures decorated along one side of arch-shaped cavities inside hierarchical microgrooves act as a dam to arrest the spreading of the liquid in one direction, thereby resulting in directional liquid transport from the inner side to the outer side of the peristome on the pitcher plant [39], [43]. Therefore, learning from nature to rationally design reentrant structure can provide an effective route to create surfaces with superomniphobicity (Fig. 1a), directional fluid navigation (Fig. 1b), strong adhesion (Fig. 1c) or their combinations. More importantly, these functions can help each other. For instance, due to the exceptional repellency to ultralow-surface-tension fluids, double reentrant can enable a strong adhesion in the presence of ultralow-surface-tension fluids. The unidirectional fluid transport on the peristome of pitcher plant can greatly facilitate the formation of lubricant-infused omniphobic surfaces.
Nature is so magical that a similar reentrant is able to sculpt multiple functions or surfaces. Despite such similarity, the attainment of a specific function or surface still requires the rational design of structural parameters of reentrant feature including reentrant angle, shape, spacing, diameter, thickness, sharpness and anisotropy, as well as the proper selection of materials depending on the wettability and mechanical properties. For example, superomniphobic and fluid-navigation surfaces prefer sharp reentrants, which can promise steady prevention of liquid penetration into the structures, rather than round reentrants [44], [45]. Differently, adhesive surfaces care more about the contact area, the thickness and the hierarchy of reentrant structures, which is conducive to strongly adhere to various rough surfaces [8], [12]. Thus, it is extremely necessary to distinguish the underlying association between structural parameters of nanoscale and microscale reentrants and macroscopic functions in wetting and adhesion. In turn, the clear revelation of these structure–function associations is extensively beneficial to guide either the optimization of reentrant structures to achieve an optimal desirable function, or the trade-off of reentrant parameters to gain multiple functions on a single surface. To our best knowledge, existing reviews mainly focus on a single specific function of mushroom-shaped reentrant, for example, superomniphobic surfaces inspired by springtail [18] and adhesion inspired by gecko [10]. Although some insightful reviews have shown the regulation of reentrant structures on both adhesion and wetting [2], a comprehensive and timely review on how nature-inspired reentrant structures create superomniphobic surfaces, fluid-navigation surfaces, adhesive surfaces or their combinations is still lacking. Thus, it is necessary to summarize how the optimization of reentrant feature can enable superior superomniphobicity, strong adaptive adhesion, and directional fluidic navigation.
In the Review, we first introduce the fundamentals in wetting and adhesion, and inspired principles on natural reentrant surfaces from springtail, gecko, and pitcher plant. Relying on these principles and relevant functions, superior capabilities of diverse reentrant structures in the attainment of superomniphobicity, adhesion, and fluid navigation are elucidated and compared by their individual criteria. Finally, we provide manufacturing technologies to create reentrant surfaces, potential applications, as well as scientific and technological challenges and opportunities.
Section snippets
Wetting
The design of reentrant surfaces requires the fundamental understanding of interfacial wetting dynamics, a classical phenomenon between a liquid and a solid or liquid-infused surface. When a droplet deposits on a smooth solid surface (Fig. 2a), it quickly reaches an equilibrium state, which can be quantified by the intrinsic contact angle (θ0) proposed by Thomas Young [46] in 1805. Based on the specific value of θ0 for water, a flat surface can be classified into hydrophilic and hydrophobic.
Natural reentrant surfaces
Reentrant feature widely exists on the biological surfaces ranging from beetle, fly, spider, and gecko to pitcher plant. On these surfaces, reentrant element exhibits diverse shapes, such as spatula, mushroom, overhang, and sharp edge, endowing exceptional functions including adhesion, omniphobicity and fluid navigation. In spite of diversity and complexity, the evolutionary principles that underpin these natural reentrant surfaces are universal, that is, hierarchical structures with reentrant
Design principles
Generally, designing a superomniphobic surface against various fluids requires to delicately tailor either surface chemical or physical properties. The chemical pathway is to decorate the surfaces with the low-surface-tension materials, especially the fluorinated materials including fluoroalkanes, fluorosurfactants, fluoropolymers, and fluorine-containing plasma [82]. But the chemical pathway cannot achieve superomniphobicity on smooth surfaces without the coupling of structural roughness. For
Design principles
A droplet prefers to spread around uniformly on a homogeneous hydrophilic surface [57]. When parallel patterns or structures are decorated on a homogeneous surface, a droplet is guided to propagate in two directions along these features [185], [186], [187]. Further, when asymmetric pillars or pattens are introduced (Fig. 8a), a droplet preferentially propagates in one direction and pins in all others, which is intrinsically determined by heterogeneous energy barriers triggered by asymmetric
Design principles
Inspired by gecko toes, a wide diversity of symmetric or asymmetric fibrillar structures have been initially designed to strength adhesion with superior adaptability to smooth and rough surfaces, intelligent controllability between adhesion and friction, and steady self-cleaning to liquid and solid foulants [7], [8], [12], [36]. In the design of fibrillar adhesive surfaces, an optimal adhesion can be achieved by carefully designing the geometry of the fibrils, including fibril size, fibril
Manufacturing technology
Owing to the complexity and hierarchy of reentrant structures, the realization of these reentrant surfaces extensively benefits from the rapid development of cutting-edge manufacturing technologies involving 3D printing, lithography, microfluidics, self-assembly, hot embossing, femtosecond laser, electrodeposition, capillary stamping, and template-assisted soft replication (Fig. 16 and Table 1). These techniques are applicable for the construction of different shaped reentrants due to their own
Potential applications
As discussed above, by designing desirable reentrant shapes with nature-inspired principles, engineered reentrant surfaces have shown extraordinary abilities in the liquid repellency, fluid navigation and strong adaptive adhesion. Due to these advanced functions, reentrant surfaces have broadly received an enormous amount of attention in diverse fields, ranging from liquid-related applications such as self-cleaning, anti-icing, anti-condensation, anti-corrosion, functional textiles, droplet
Perspectives and conclusions
Learning from nature has broadly inspired the scientists and engineers to design a diversity of shaped reentrant surfaces that enable superior functions of extreme liquid repellency, directional fluid navigation and strong adaptive adhesion. This review comprehensively summarizes how the introduction of reentrant structures collectively regulates fluid wetting, contact line motion and solid adhesion, and provides the quantitative relationship maps between reentrant structures and macroscopic
Declaration of Competing Interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Acknowledgments
The financial support from the Research Grants Council, University Grants Committee of Hong Kong (GRF 17205421, 17204420, 17210319, 17204718, and CRF C1006-20WF) is gratefully acknowledged. This work is also supported by the Qilu Youth Scholar Funding of Shandong University (31380082263065).
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These authors contributed equally to this work.