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Blade coating analysis of a viscoelastic Carreau fluid using Adomian decomposition method
Mathematics and Computers in Simulation ( IF 4.4 ) Pub Date : 2021-06-05 , DOI: 10.1016/j.matcom.2021.04.027
Saira Bhatti , Muhammad Zahid , Rifaqat Ali , Albesha Sarwar , Hafiz A. Wahab

In this paper, a mathematical model of the blade coating of the viscoelastic Carreau fluid which passes through the gap between the fixed blade and the moving substrate is constructed. The governing equations in the light of LAT (Lubrication Approximation Theory) are nondimensionalized and the solutions for the velocity, volumetric flow rate and the pressure gradient are calculated using Adomian decomposition method and numerical method. Numerical results for the velocity distribution using shooting method have also been studied by taking the full lubrication equation without taking the binomial expansion. Some important quantities from the industrial point of view like pressure, shear stress, Nusselt number and skin friction coefficient are also calculated. The important results are graphically shown at the end. With exponential blade coater, we have calculated velocity profiles, pressure, coating thickness and blade loading. Some of these results are shown graphically while other are presented in the tabulated form.



中文翻译:

使用 Adomian 分解法对粘弹性 Carreau 流体进行刮刀涂层分析

在本文中,建立了粘弹性Carreau流体通过固定刀片和移动基板之间的间隙的刀片涂层的数学模型。根据LAT(润滑近似理论)的控制方程是无量纲的,速度、体积流量和压力梯度的解用Adomian分解方法和数值方法计算。还通过采用全润滑方程而不采用二项式展开来研究使用射击法的速度分布的数值结果。还计算了一些从工业角度看的重要量,如压力、剪切应力、努塞尔数和皮肤摩擦系数。最后以图形方式显示了重要的结果。使用指数刮刀涂布机,我们已经计算了速度分布、压力、涂层厚度和叶片载荷。其中一些结果以图形方式显示,而另一些则以表格形式呈现。

更新日期:2021-06-21
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