Finite coating thickness of Prandtl fluid in non-isothermal reverse roll coating process

IF 1.7 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Multidiscipline Modeling in Materials and Structures Pub Date : 2023-08-29 DOI:10.1108/mmms-02-2023-0061
Z. Abbas, S. Khaliq, Sana Usman, M. Rafiq
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Abstract

PurposeThe coating process is broadly employed in the manufacturing of wallpapers, adhesive tapes, wrapping, protection of fabrics and metals, X-ray and photographic films, beautification, books and magazines, film foils, magnetic records, coated paper, etc.Design/methodology/approachIn this study, an incompressible flow of non-Newtonian fluid is modeled to inspect the rheological behavior of finite coating thickness in the reverse roll coating process. With the assistance of lubrication approximation theory (LAT), the dimensionless form of governing expressions is simplified. Exact solutions for distributions for velocity, flow rate, temperature and pressure gradient attained utilizing perturbation technique and their variation is presented as well as discussed in graphs. Meanwhile, some important factors from an engineering perspective including coating thickness and transition point were calculated mathematically and are displayed in a tabular manner. Also, streamlines are drawn to observe the flow pattern.FindingsPrandtl fluid parameters provide a controlling factor to regulate the flow rate, velocity, coating thickness, and pressure gradient leading to an efficient coating process. Moreover, the Brinkman number and Prandtl fluid parameters significantly improve the temperature distribution.Originality/valueIn the literature, this study fills a gap in the theoretical prediction of coating thickness rheologically influenced by Prandtl fluid in reverse roll coating process.
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普朗特流体在非等温反向辊涂过程中的有限涂层厚度
目的涂布工艺广泛应用于墙纸、胶带、包装、织物和金属的保护、x射线和照相胶片、美化、书籍和杂志、薄膜、磁记录、涂布纸等的制造。设计/方法/途径在本研究中,模拟非牛顿流体的不可压缩流动,以考察有限涂布厚度的反滚涂布工艺的流变行为。借助润滑近似理论(LAT),对无量纲形式的控制表达式进行了简化。给出了利用微扰技术求得的速度、流量、温度和压力梯度分布及其变化的精确解,并用图形进行了讨论。同时,从工程角度对涂层厚度、过渡点等重要因素进行了数学计算,并以表格形式显示。同时,绘制流线来观察流型。发现喷淋流体参数为调节流速、速度、涂层厚度和压力梯度提供了控制因素,从而实现了高效的涂层过程。此外,Brinkman数和Prandtl流体参数显著改善了温度分布。在文献中,本研究填补了反滚涂覆过程中普朗特流体对涂层厚度流变学影响理论预测的空白。
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来源期刊
CiteScore
3.70
自引率
5.00%
发文量
60
期刊介绍: Multidiscipline Modeling in Materials and Structures is published by Emerald Group Publishing Limited from 2010
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