Liquid drop contact angle solving method under given surface second-level nano-micro structure

A technology of micro-nano structure and contact angle, applied in special data processing applications, complex mathematical operations, instruments, etc., can solve problems such as large influence of human operation factors and complicated measuring devices

CN105912502AActive Publication Date: 2016-08-31ZHEJIANG UNIV OF TECH
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Patent Information

Authority / Receiving Office
CN · China
Current Assignee / Owner
Publication Date
2016-08-31

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Abstract

The invention discloses a liquid drop contact angle calculation method under a given surface second-level nano-micro structure. The calculation method comprises the following steps: adopting a nano-micro geometric measuring instrument to measure the structure size of the given second-level nano-micro structure to obtain the side length, the space and the height of the nano-micro structure; adopting general assumptions in Young equation, Wenzel equation and CB equation deduction, and calculating a roughness factor and an area fraction under micrometer and nanometer size under the assumptions; according to different infiltration states under a micrometer structure and a nanometer structure, dividing the infiltration states of the second-level nano-micro structure into four situations, and inducing and simplifying the system free energy calculated modes of four given surface second-level nano-micro structures; and in virtue of a C++program compiling module in Visual Studio2012 software, applying a Soushan method to calculate the system free energy under different infiltration states, finding interface minimum free energy under a stable state, and obtaining a contact angle corresponding to the interface minimum free energy.
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Description

technical field

[0001] The invention relates to a method for obtaining the contact angle of a droplet under a given surface secondary micro-nano structure by using free energy calculation and mountain search method. Background technique

[0002] The contact angle refers to the angle between the tangent of the gas-liquid interface at the intersection of the solid-liquid-gas triple point and the solid-liquid boundary line. It is an important parameter that characterizes the wettability of a liquid to a solid. Through the study of contact angle, many information about the interaction of solid, liquid and gas molecules can be obtained, such as surface wettability, surface roughness, solid-liquid interfacial tension, etc. Therefore, accurate acquisition of contact angle is very important for the study of superhydrophobic materials, research The condensation process of droplets and the development of water collection equipment are of great significance. At present, the contact an...

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Embodiment Construction

[0033] Below in conjunction with accompanying drawing, the present invention will be further described.

[0034] A method for calculating the droplet contact angle under a given surface secondary micro-nano structure according to the present invention comprises the following steps:

[0035] (1) Measure the structural size of the given secondary micro-nano structure, which can be measured by a micro-nano geometric measuring instrument to measure the relevant size parameters, h 1 ,a 1 ,b 1 ,h 2 ,a 2 ,b 2 . where a 1 (a 2 ),b 1 (b 2 ) and h 1 (h 2 ) are the side length, spacing and height of the microstructure (nanostructure), respectively, and the given secondary micronanostructure such as figure 1 shown.

[0036] Such as figure 1 Shown; It can be seen from the geometric relationship:

[0037]

[0038] ②S ext = 2πR 2 (1-cosθ)⑵

[0039] ③S base = πR 2 sin 2 θ⑶

[0040]

[0041] Among them, S ext is the outer surface area of ​​the spherical cap droplet...