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Mathematical modeling of Johnson-Segalman fluid in blade coating process
Journal of Plastic Film & Sheeting ( IF 2.1 ) Pub Date : 2021-01-05 , DOI: 10.1177/8756087920983551
Marya Kanwal 1 , Xinhua Wang 1 , Hasan Shahzad 1 , Muhammad Sajid 2 , Cheng Yiqi 1
Affiliation  

This article deals with the blade coating process for Johnson-Segalman (JS) fluid using plane coater. Flow equations are simplified with the Lubrication approximation theory (LAT). The equations are normalized using suitable scales. Reduced equations are solved numerically using the shooting technique. Also, for small Weissenberg numbers, a perturbation solution is obtained. How Weissenberg number and slip parameter influence the pressure gradient, velocity, pressure, load, and thickness are expressed graphically and via table. In the present work, load on the blade is crucial as it controls the thickness quality. One observes that an increased Weissenberg number decreases load, while the coating thickness increases when compared to the viscous case.



中文翻译:

叶片涂覆过程中Johnson-Segalman流体的数学建模

本文介绍了使用平面涂布机对Johnson-Segalman(JS)流体进行叶片涂布的过程。用润滑近似理论(LAT)简化了流动方程。使用合适的标度对方程进行归一化。使用射击技术对简化的方程进行数值求解。同样,对于较小的魏森伯格数,可以获得摄动解。魏森伯格数和滑移参数如何影响压力梯度,速度,压力,载荷和厚度,并通过表格图形化表示。在目前的工作中,刀片上的负载至关重要,因为它控制着厚度质量。人们观察到,与粘性情况相比,增加的魏森伯格数减少了载荷,而涂层厚度却增加了。

更新日期:2021-01-06
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