The surface tension effect on viscous liquid spreading along a superhydrophobic surface

Aksenov, A. V.; Sudarikova, A.; Chicherin, I.

doi:10.1088/1742-6596/788/1/012003

Cited by 3 publications

(3 citation statements)

References 7 publications

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“…For long rod-shaped E. coli of about 2 μm in length, it is more difficult for flagella to be perpendicular to the interface and generate attractive radial fluid flow that leads to cluster formation, 43−47 giving rise to a more significant improvement which can resist the adhesion of 88% E. coli. For the lasertextured superhydrophobic surface under the stationary state, the driving force of the bacterial cluster cannot break through the air−liquid interface because of the surface tension 48 created by the trapped air layer on the superhydrophobic surface, which lead to hardly any bacterial adhesion is achieved as shown in Figure 7b. While under the oscillation state, the oscillating motion gives the opportunity for exposing the surface area and making bacteria to contact and colonize.…”

Section: ■ Results and Discussionmentioning

confidence: 99%

“…coli. For the laser-textured superhydrophobic surface under the stationary state, the driving force of the bacterial cluster cannot break through the air–liquid interface because of the surface tension created by the trapped air layer on the superhydrophobic surface, which lead to hardly any bacterial adhesion is achieved as shown in Figure b. While under the oscillation state, the oscillating motion gives the opportunity for exposing the surface area and making bacteria to contact and colonize.…”

Section: Resultsmentioning

confidence: 99%

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Picosecond Laser-Textured Stainless Steel Superhydrophobic Surface with an Antibacterial Adhesion Property

et al. 2019

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The pursuit of antibacterial properties on the surfaces of food container, medical equipment, and pharmaceutical tanks has been a compelling challenge for decades. Inspired by the biomimetic superhydrophobic surfaces that have self-cleaning, antifog, antisnow, and reduced bacterial adhesion properties, we use a simple and effective technology of a picosecond laser texturing for the fabrication of a superhydrophobic antibacterial surface on AISI 420 martensitic stainless steel plates. The laser-textured surface with micropapillae patterns with superimposed nanostructures exhibits outstanding in-air superhydrophobic and superaerophilicity underwater, which under the oscillation state resists an adhesion of 99% Escherichia coli and 93% Staphylococcus aureus and has hardly any bacterial adhesion under a stationary state. The comparative experiments verify that the robust air layer and hierarchical micro–nanostructures have come together to comprise the antibacterial mechanism. The laser-textured superhydrophobic surface also exhibits superior anticorrosion and antidestructive abilities with excellent antibacterial durability especially if deep cleaning is carried out after each dipping time in the bacterial suspension, promoting its leading-edge applications in medical, food, and pharmaceutical fields.

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Section: ■ Results and Discussionmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Picosecond Laser-Textured Stainless Steel Superhydrophobic Surface with an Antibacterial Adhesion Property

et al. 2019

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“…Example 16. From expressions (47) and (48) it follows that the Guderley equation 17has two solutions of the same type u 1 = ϕy 3/2 +ψ and u 2 = ϕy 3 +ψ, which differ from each other by the exponent y. This circumstance suggests an attempt to construct a more general solution of equation (17), that includes both terms with different exponents at once.…”

Section: Construction Of Compound Solutions (Nonlinear Superposition mentioning

confidence: 99%

Methods for Constructing Complex Solutions of Nonlinear PDEs Using Simpler Solutions

Aksenov

Polyanin

2021

Mathematics

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This paper describes a number of simple but quite effective methods for constructing exact solutions of nonlinear partial differential equations that involve a relatively small amount of intermediate calculations. The methods employ two main ideas: (i) simple exact solutions can serve to construct more complex solutions of the equations under consideration and (ii) exact solutions of some equations can serve to construct solutions of other, more complex equations. In particular, we propose a method for constructing complex solutions from simple solutions using translation and scaling. We show that in some cases, rather complex solutions can be obtained by adding one or more terms to simpler solutions. There are situations where nonlinear superposition allows us to construct a complex composite solution using similar simple solutions. We also propose a few methods for constructing complex exact solutions to linear and nonlinear PDEs by introducing complex-valued parameters into simpler solutions. The effectiveness of the methods is illustrated by a large number of specific examples (over 30 in total). These include nonlinear heat equations, reaction–diffusion equations, wave type equations, Klein–Gordon type equations, equations of motion through porous media, hydrodynamic boundary layer equations, equations of motion of a liquid film, equations of gas dynamics, Navier–Stokes equations, and some other PDEs. Apart from exact solutions to `ordinary’ partial differential equations, we also describe some exact solutions to more complex nonlinear delay PDEs. Along with the unknown function at the current time, u=u(x,t), these equations contain the same function at a past time, w=u(x,t−τ), where τ>0 is the delay time. Furthermore, we look at nonlinear partial functional-differential equations of the pantograph type, which, in addition to the unknown u=u(x,t), also contain the same functions with dilated or contracted arguments, w=u(px,qt), where p and q are scaling parameters. We propose an efficient approach to construct exact solutions to such functional-differential equations. Some new exact solutions of nonlinear pantograph-type PDEs are presented. The methods and examples in this paper are presented according to the principle “from simple to complex”.

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Unsteady flow of thin slender rivulets of a Newtonian fluid with strong surface-tension effect

Redwan¹,

Yatim²

2019

AIP Conference Proceedings

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The surface tension effect on viscous liquid spreading along a superhydrophobic surface

Cited by 3 publications

References 7 publications

Picosecond Laser-Textured Stainless Steel Superhydrophobic Surface with an Antibacterial Adhesion Property

Picosecond Laser-Textured Stainless Steel Superhydrophobic Surface with an Antibacterial Adhesion Property

Methods for Constructing Complex Solutions of Nonlinear PDEs Using Simpler Solutions

Unsteady flow of thin slender rivulets of a Newtonian fluid with strong surface-tension effect

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