{"title":"利用点源模型(PSM)模拟一对无柄液滴的蒸发过程","authors":"Ahmed Azzam, Roger Kempers, Alidad Amirfazli","doi":"10.1016/j.icheatmasstransfer.2024.107733","DOIUrl":null,"url":null,"abstract":"<div><p>Many natural and practical applications, from macro- to microscale, entail the evaporation of an array of droplets on a substrate surface. A simplified point source model (PSM) was developed to simulate the evaporation of a pair of sessile droplets on a substrate surface, surrounded by still air. The model is for a purely diffusive isothermal quasi-steady-state evaporation process. The model determines the initial evaporation rate as a function of the separation distance between two droplets. A threshold separation distance between two droplets, beyond which the evaporation rate of the droplets is very similar to the evaporation of a single isolated droplet, is determined. The effect of the evaporation mode (Constant Contact Angle (CCA) mode and Constant Contact Radius (CCR) mode) was considered. Two expressions to determine the evaporation time under CCA and CCR evaporation mode are presented. The model is a simple and computationally inexpensive tool. An experimental setup was designed and built to investigate the validity of the proposed model. The effect of droplet volume, ambient relative humidity, surface wettability, and liquid volatility are tested experimentally. The predictions from the model were in excellent agreement with the experimental results regarding the droplet volume, ambient relative humidity, and surface wettability.</p></div>","PeriodicalId":332,"journal":{"name":"International Communications in Heat and Mass Transfer","volume":null,"pages":null},"PeriodicalIF":6.4000,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modeling of the evaporation process of a pair of sessile droplets using a point source model (PSM)\",\"authors\":\"Ahmed Azzam, Roger Kempers, Alidad Amirfazli\",\"doi\":\"10.1016/j.icheatmasstransfer.2024.107733\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Many natural and practical applications, from macro- to microscale, entail the evaporation of an array of droplets on a substrate surface. A simplified point source model (PSM) was developed to simulate the evaporation of a pair of sessile droplets on a substrate surface, surrounded by still air. The model is for a purely diffusive isothermal quasi-steady-state evaporation process. The model determines the initial evaporation rate as a function of the separation distance between two droplets. A threshold separation distance between two droplets, beyond which the evaporation rate of the droplets is very similar to the evaporation of a single isolated droplet, is determined. The effect of the evaporation mode (Constant Contact Angle (CCA) mode and Constant Contact Radius (CCR) mode) was considered. Two expressions to determine the evaporation time under CCA and CCR evaporation mode are presented. The model is a simple and computationally inexpensive tool. An experimental setup was designed and built to investigate the validity of the proposed model. The effect of droplet volume, ambient relative humidity, surface wettability, and liquid volatility are tested experimentally. The predictions from the model were in excellent agreement with the experimental results regarding the droplet volume, ambient relative humidity, and surface wettability.</p></div>\",\"PeriodicalId\":332,\"journal\":{\"name\":\"International Communications in Heat and Mass Transfer\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":6.4000,\"publicationDate\":\"2024-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Communications in Heat and Mass Transfer\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0735193324004950\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Communications in Heat and Mass Transfer","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0735193324004950","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
摘要
从宏观到微观的许多自然和实际应用都需要基质表面上的液滴阵列进行蒸发。我们开发了一个简化的点源模型(PSM),用于模拟基底表面上一对无柄液滴在静止空气环绕下的蒸发过程。该模型用于纯扩散等温准稳态蒸发过程。该模型确定了初始蒸发率与两个液滴之间分离距离的函数关系。确定了两个液滴之间的阈值分离距离,超过该距离后,液滴的蒸发速率与单个孤立液滴的蒸发速率非常相似。考虑了蒸发模式(恒定接触角 (CCA) 模式和恒定接触半径 (CCR) 模式)的影响。给出了确定 CCA 和 CCR 蒸发模式下蒸发时间的两个表达式。该模型是一种简单且计算成本低廉的工具。为研究模型的有效性,设计并建立了一个实验装置。实验测试了液滴体积、环境相对湿度、表面润湿性和液体挥发性的影响。在液滴体积、环境相对湿度和表面润湿性方面,模型的预测结果与实验结果非常吻合。
Modeling of the evaporation process of a pair of sessile droplets using a point source model (PSM)
Many natural and practical applications, from macro- to microscale, entail the evaporation of an array of droplets on a substrate surface. A simplified point source model (PSM) was developed to simulate the evaporation of a pair of sessile droplets on a substrate surface, surrounded by still air. The model is for a purely diffusive isothermal quasi-steady-state evaporation process. The model determines the initial evaporation rate as a function of the separation distance between two droplets. A threshold separation distance between two droplets, beyond which the evaporation rate of the droplets is very similar to the evaporation of a single isolated droplet, is determined. The effect of the evaporation mode (Constant Contact Angle (CCA) mode and Constant Contact Radius (CCR) mode) was considered. Two expressions to determine the evaporation time under CCA and CCR evaporation mode are presented. The model is a simple and computationally inexpensive tool. An experimental setup was designed and built to investigate the validity of the proposed model. The effect of droplet volume, ambient relative humidity, surface wettability, and liquid volatility are tested experimentally. The predictions from the model were in excellent agreement with the experimental results regarding the droplet volume, ambient relative humidity, and surface wettability.
期刊介绍:
International Communications in Heat and Mass Transfer serves as a world forum for the rapid dissemination of new ideas, new measurement techniques, preliminary findings of ongoing investigations, discussions, and criticisms in the field of heat and mass transfer. Two types of manuscript will be considered for publication: communications (short reports of new work or discussions of work which has already been published) and summaries (abstracts of reports, theses or manuscripts which are too long for publication in full). Together with its companion publication, International Journal of Heat and Mass Transfer, with which it shares the same Board of Editors, this journal is read by research workers and engineers throughout the world.