The theoretical model of micropolar-Casson fluid is studied in roll-coating over a moving substrate based on the lubrication theory. Closed-form solutions for the velocity, pressure gradient, and microrotation are attained, while a numerical technique employed to compute interesting engineering variables such as pressure, roll-separating force, separating point, and power input. The influence of involved parameters on the physical and engineering quantities are displayed via graphs and table. The coupling number ( N ) and viscoplastic parameter ( β ) provide the controlling mechanism for the exit sheet thickness, separating force, and power input. Also, the pressure gradient and pressure profile in the nip region enhances for large values of coupling number ( N ) whereas the viscoplastic parameter ( β ) gives the opposite behavior.

中文翻译：

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微极性卡森流体的卷筒纸涂层分析：理论研究

基于润滑理论，研究了微极性卡森流体的理论模型，该模型用于在移动的基材上进行辊涂。获得了速度，压力梯度和微旋转的闭式解，同时采用了一种数值技术来计算有趣的工程变量，例如压力，辊分离力，分离点和功率输入。通过图表显示相关参数对物理和工程量的影响。耦合数（N）和粘塑性参数（β）为出口板的厚度，分离力和功率输入提供了控制机制。同样，对于较大的耦合数（N）值，辊隙区域中的压力梯度和压力分布会增强，而粘塑性参数（β）则表现出相反的行为。