中国科学(数学)2024,Vol.54Issue(3) :377-406.DOI:10.1360/SSM-2022-0243

新型显示薄膜喷墨打印技术的数学建模与分析

Mathematical modeling and analysis for inkjet printing of advanced display thin films

丁时进 辛周平 王筱平 钱铁铮 李进开 徐新鹏
中国科学(数学)2024,Vol.54Issue(3) :377-406.DOI:10.1360/SSM-2022-0243

新型显示薄膜喷墨打印技术的数学建模与分析

Mathematical modeling and analysis for inkjet printing of advanced display thin films

丁时进 1辛周平 2王筱平 3钱铁铮 4李进开 1徐新鹏5
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作者信息

  • 1. 华南师范大学数学科学学院,广州 510631
  • 2. 香港中文大学数学科学研究所,香港
  • 3. 香港科技大学数学系,香港;香港中文大学(深圳)理工学院,深圳 518172;深圳市大数据研究院,深圳 518172
  • 4. 香港科技大学数学系,香港
  • 5. 广东以色列理工学院物理系,汕头 515063
  • 折叠

摘要

本文将新型显示薄膜喷墨打印技术的关键工艺过程"喷墨打印-干燥/烘烤成膜"中多组分聚合物溶液在压电作用下从喷管内喷出均匀液滴、液滴在基板上着床并融合成均匀的液体薄膜、液体薄膜经过蒸发留下溶质(如有机发光二极管OLED(organic light-emitting diode))形成均匀显示薄膜的3个核心科学问题,在数学上提炼为多组分聚合物流体带移动接触线和动态接触角以及带有蒸发条件的固-液-气多相耦合的自由界面问题.本文首先对这些问题的Newton流的数学模型进行热力学自洽的系统综述和完善,然后对包含相分离、溶剂蒸发和非Newton黏弹性等多物理现象的同类自由界面问题进行成体系的数学建模,对模型的理论分析和数值模拟提出一些研究思路.本文希望通过解决这些数学问题突破新型显示薄膜喷墨打印工艺的关键技术瓶颈,提高打印的良品率,推进产业化,促进数学在解决国家重大需求难题中的应用.本文以新型显示薄膜喷墨打印技术核心科学问题为背景,给数学工作者提出了一些新的重要的数学问题,同时也为相关材料科学家提供了可行的数学方案,为双方搭起了良好的沟通桥梁.

Abstract

This paper is concerned with the mathematical modeling and analysis for the key procedure in inkjet printing of advanced display thin films.Here the key procedure consists of three steps which are the jetting of polymer(for example,OLED(organic light-emitting diode))liquid droplets from the spray nozzle under piezoelectricity,motion and coalescence of droplets on the substrate,and the evaporation of the liquid thin film in pixel bars.The corresponding mathematical problems related to these three steps are free boundary problems for droplet-jetting from a nozzle and interface problems with solid-liquid-air moving contact lines and dynamic contact angles even with evaporating conditions in sessile domains for multi-component and multi-phase polymer fluids.We review and outline some ideas to do theoretical and numerical analysis for these problems.It is expected that solving these mathematical problems will help to improve the yield and promote the industrialization of inkjet printing of advanced display films.On the other hand,this paper provides mathematicians with several new and interesting but difficult problems coming from the inkjet printing industry.Also,we intend to provide the materials scientists in inkjet printing with a mathematical route to solve the key problems in experiments and production.This paper is a good bridge of communication between mathematicians and materials scientists.

关键词

非Newton流/喷墨打印/液滴动力学/液体薄膜蒸发/移动接触线和动态接触角/自由界面问题

Key words

non-Newtonian fluid/inkjet printing/dynamics of droplets/evaporation of liquid thin films/moving contact line and dynamic contact angle/free interface problem

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基金项目

国家自然科学基金(12131010)

出版年

2024
中国科学(数学)
中国科学院

中国科学(数学)

CSTPCD北大核心
影响因子:0.221
ISSN:1674-7216
参考文献量129
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