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An exact solution for blade coating of a second-grade fluid on a porous substrate
Journal of Plastic Film & Sheeting ( IF 2.1 ) Pub Date : 2021-08-03 , DOI: 10.1177/87560879211035429
M Mughees 1 , M Sajid 1 , H Shahzad 2, 3 , MN Sadiq 1 , N Ali 1
Affiliation  

This study explores the blade coating process with a simple fixed blade for a second-grade fluid over a moving porous substrate. The article investigates both plane and exponential blade coating. The analysis simplifies the governing equations via lubrication approximation theory by assuming that blade length is much larger than the coating layer thickness. Suitable scales normalize the governing equations. The expressions for pressure gradient and velocity are analytically obtained whereas pressure is attained using a so-called “shooting method” numerical technique. How the Reynolds number Re, suction velocity v0 and non-Newtonian second-grade parameter ϵ affect the velocity, pressure gradient, pressure, coating layer thickness and load on the blade are observed and displayed graphically and as tables. Interesting engineering quantities like velocity, pressure gradient and pressure are highlighted in graphical form whereas load and thickness are presented as tables. It is observed that the pressure gradient, pressure, velocity, load and thickness decrease as the parameters and Re and v0 icrease for the cases of both plane and exponential coaters while all these physical quantities are observed to increase when the parameter increases. The most important physical quantity is the load for it is responsible in maintaining the coating quality and thickness. Moreover, it is perceived that the load decreases as the Reynolds number Re and v0 increases get accelerated and it increases when parameter ϵ is increased.



中文翻译:

在多孔基材上刮涂二级流体的精确解决方案

本研究探索了使用简单固定刀片在移动多孔基材上涂覆二级流体的刀片涂层工艺。本文研究了平面和指数刀片涂层。通过假设叶片长度远大于涂层厚度,该分析通过润滑近似理论简化了控制方程。合适的尺度对控制方程进行归一化。压力梯度和速度的表达式是通过分析获得的,而压力是使用所谓的“射流法”数值技术获得的。雷诺数如何电阻电子, 吸入速度 v0 和非牛顿二级参数 ε影响速度,压力梯度,压力,涂层厚度和叶片上的负载被观察并以图形和表格形式显示。有趣的工程量,如速度、压力梯度和压力以图形形式突出显示,而载荷和厚度则以表格形式呈现。观察到压力梯度、压力、速度、载荷和厚度随着参数减小电阻电子v0 对于平面和指数镀膜机的情况都增加,而当参数时观察到所有这些物理量都增加 增加。最重要的物理量是负载,因为它负责保持涂层质量和厚度。此外,人们认为负载随着雷诺数的增加而减少电阻电子v0 增加加速,当参数增加时增加 ε 增加。

更新日期:2021-08-03
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