基于Young-Laplace方程的大尺寸仿猪笼草口缘区结构优化及试验研究

doi:10.3901/JME.2025.19.229

机械工程学报 ›› 2025, Vol. 61 ›› Issue (19): 229-236.doi: 10.3901/JME.2025.19.229

• 数字化设计与制造 • 上一篇

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基于Young-Laplace方程的大尺寸仿猪笼草口缘区结构优化及试验研究

姜晨, 陈飞昊, 郝宇, 许世炜

上海理工大学机械工程学院上海 200093

收稿日期:2024-09-24 修回日期:2025-04-25 发布日期:2025-11-24
作者简介:姜晨(通信作者)，男，1978年出生，教授，博士研究生导师。主要研究方向为精密加工及检测技术。E-mail：jc_bati@163.com
陈飞昊，男，2000年出生，硕士研究生。主要研究方向为精密加工技术。E-mail：chenfeihao1202@163.com
基金资助:
国家自然科学基金资助项目(51475310)。

Structural Optimization and Experimental Study of the Large-size Imitating Peristome of Nepenthes Alata Based on Young-Laplace Equation

JIANG Chen, CHEN Feihao, HAO Yu, XU Shiwei

School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093

Received:2024-09-24 Revised:2025-04-25 Published:2025-11-24

摘要/Abstract

摘要： 针对尺度小于一百微米级的仿猪笼草口缘区结构制备成本高且工艺复杂的问题，采用3D打印制备该结构的百微米级大尺寸半圆管型微流道模型并以增强液体单向铺展性为优化目标，基于Young-Laplace方程对该结构进行优化设计。依据毛细理论和反向钉扎分析大尺寸仿猪笼草口缘区结构表面的液体单向铺展机理；由Young-Laplace方程引入棱脊间隙c，提出反向回流抑制机制；结合有限元仿真，得出棱脊间隙c与结构体长l的设计规律，优化该结构的半圆管型微流道；开展液体滴定试验，观察该优化结构半圆管型微流道的液体单向铺展性，获得性能理想的大尺寸仿猪笼草口缘区结构半圆管型微流道优化模型。结果表明：c与l越大，大尺寸仿猪笼草口缘区结构半圆管型微流道的平均出口速度越小，速度衰减率较高；当l=500 μm且c=20 μm时，单向铺展性得到明显提高，铺展系数至高提升106.9%，反向铺展距离至高降低58.14%；仿真平均速度与试验计算速度变化趋势相同。该研究结果对基于3D打印工艺制备的百微米级大尺寸仿猪笼草口缘区结构半圆管型微流道液体单向铺展性的提高具有一定的指导意义，同时避免了传统制备工艺复杂且成本高的不足。

关键词: 液体单向铺展, 猪笼草口缘区, Young-Laplace方程, 回流抑制, 半圆管型微流道

Abstract: In order to solve the problem of high cost and complex process for the preparation of imitating peristome of Nepenthes alata structure less than 100 microns, a large-sized semi-circular tube microchannel model is prepared by 3D printing, and it is optimized based on the Young-Laplace equation to enhance the liquid uni-directional spreading. Based on the capillary theory and reverse pinning, the mechanism of liquid uni-directional spreading on the surface of large-size imitating peristome of Nepenthes alata is analyzed. The ridge gap c is introduced by the Young-Laplace equation, and the reverse reflux suppression mechanism is proposed. Combined with finite element simulation, the design rule of c and l is obtained, and the semi-circular microchannel is optimized. The titration test is carried out to observe the uni-directional liquid spreadability of the optimized semi-circular microchannel, and an ideal optimization semi-circular microchannel model with large-size imitating peristome of Nepenthes alata is obtained. The results show that the larger the c and l are, the smaller the average outlet velocity is, and the higher the velocity attenuation rate is. When l=500 μm and c=20 μm, the uni-directional spreading performance is obviously improved. The spreading coefficient is increased by 106.9%, and the reverse spreading distance is reduced by 58.14%. The average speed of the simulation is the same as that of the test. The research results of this study have certain guiding significance for the improvement of uni-directional liquid spreading in semi-circular microchannels with large size of 100 microns prepared by 3D printing, and it avoids the limitation of complex and expensive traditional preparation process.

Key words: uni-directional liquid spreading, peristome of Nepenthes alata, Young-Laplace equation, backflow suppression, semi-circular microchannels

中图分类号:

TB17

姜晨, 陈飞昊, 郝宇, 许世炜. 基于Young-Laplace方程的大尺寸仿猪笼草口缘区结构优化及试验研究[J]. 机械工程学报, 2025, 61(19): 229-236.

JIANG Chen, CHEN Feihao, HAO Yu, XU Shiwei. Structural Optimization and Experimental Study of the Large-size Imitating Peristome of Nepenthes Alata Based on Young-Laplace Equation[J]. Journal of Mechanical Engineering, 2025, 61(19): 229-236.

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基于Young-Laplace方程的大尺寸仿猪笼草口缘区结构优化及试验研究

Structural Optimization and Experimental Study of the Large-size Imitating Peristome of Nepenthes Alata Based on Young-Laplace Equation

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