Directional motion of resonant drops on a hydrophobic ratchet with gradient inclination
Introduction
The manipulation of drop motion on solid surface is of great significance in the fields of biology analysis [1], microfluidics [2,3], resistance reducing [4,5] and droplet collection [6], and it has attracted increasing attention. A large number of methods, including thermal stimuli [[7], [8], [9]], electrical [10,11], photochemical [12] and acoustic methods [13], have been applied in the manipulation of drops.
The control of drop motion usually involves a variety of microstructured gradient surfaces, and numerous surface microstructures, like radial tension gradient surfaces [14], micro-ridged hydrophobic surfaces [15], wedge-shaped gradient surfaces [16], and gradually increased structural roughness surfaces [17], have been designed and tested. However, drops move very slowly on these surfaces due to the lack of external stimuli.
In recent years, ratchets have been introduced to control drop motion as a novel manipulation approach. For instance, Linke et al. [35] designed a ratchet with even teeth and found that a Leidenfrost drop was able to self-propel on the ratchet. From then on, a number of studies have been carried out focusing on this kind of ratchet. To improve the drop mobility on the gradient surfaces, vibration is applied to manipulate the liquid drops. Moreover, the vibration modes of drops are investigated at various frequencies and movement modes of the three-phase contact lines, which has laid solid foundation for subsequent studies [[18], [19], [20]]. Thereafter, the Wenzel–Cassie and Cassie–Wenzel wetting transitions are analyzed in plenty of works [[21], [22], [23]]. Furthermore, the dynamical behaviors of vibrated drops are analyzed [[24], [25], [26], [27], [28], [29], [30], [31]], the influencing factors are discussed [31], the motion mechanism of vibrated drops is illustrated [[32], [33], [34], [35], [36], [37], [38], [39], [40]], and the friction properties between the drop and the solid surface are explored [4,5,42].
This paper aimed to manipulate drops by mechanical vertical vibration combined with a hydrophobic ratchet with gradient inclination. To this end, a gradient ratchet was prepared, and its wettability was changed by chemical modification. Then, the drop motion was realized by adjusting the characteristic parameters of mechanical vibration. In addition, the mechanism of motion was modeled and the effects of drop size, initial position and vibration energy on the motion characteristics were also discussed.
Section snippets
Material and method
In this work, a ratchet with gradient inclination was prepared from the aluminum sheet by using the wiring cutting technology with the cutting accuracy of 150 μm. The structure of the ratchet is shown in Fig. 1. As observed, all teeth were right triangles, with the height (h) of 1 mm. The width of teeth (d) was tunable by gradually changing the inclination angle β (range, 15°–60°), and the inclination degree between the adjacent teeth was 1°. The superhydrophobic surface was achieved by drawing
Modes of a resonant drop
A drop of deionized water (50 μL, rocking mode, fn≈35 Hz from the Eq. (2)) was placed gently on the ratchet, which covered two teeth of 20° and 21°, respectively. The vibration frequency of the ratchet was the natural frequency of the drop. During the vibration process, the drop underwent the compression, restoration and elongation processes in succession. As the vibration went by, the drop deformation in situ was observed, and the wetting contact diameter between the drop and the ratchet
Summary and conclusions
This work discusses the dynamic behaviors of resonant drops on a hydrophobic ratchet with gradient inclination. As suggested by our results, when a drop is placed at a certain position of the ratchet, it behaves in four modes in turn with the increase in amplitude, including deformation in situ, wriggling, jumping and breaking up. At critical drop size, vibration frequency and initial position (ΣF >0, Eq. (8)), the drop can move directionally. Moreover, the motion mechanism is presented based
Declaration of Competing Interest
The authors declare that there are no competing interests regarding the publication of this paper.
Acknowledgment
This study was funded by the National Natural Science Foundation of China (Grant Nos. 51776128 and 51676130).
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