This theoretical analysis reports on the non-isothermal calendering process of micropolar-Casson fluid and studies the viscoplastic and microrotation effects by utilizing the lubrication approximation (LAT). Exact dimensionless velocity and pressure gradient solutions are achieved. Then a numerical integration technique determined other mechanical quantities. Implementing the finite difference approximations resolved the energy expression. Graphs show how material parameters influence the pressure, pressure gradient, leave-off distance, temperature distribution, force, and power function. Temperature distribution increases with increased coupling number N and decreased Casson parameter $\beta$. Force and power function increase with increased coupling number and decreased Casson parameter. Both Casson and coupling number control the pressure distribution and exiting sheet thickness.

该理论分析报告了微极 Casson 流体的非等温压延过程，并利用润滑近似 (LAT) 研究了粘塑性和微旋转效应。实现了精确的无量纲速度和压力梯度解决方案。然后数值积分技术确定了其他机械量。实现有限差分近似解决了能量表达式。图表显示材料参数如何影响压力、压力梯度、离开距离、温度分布、力和幂函数。温度分布随着耦合数N 的增加和 Casson 参数的减小而增加$\beta$. 力和幂函数随着耦合数的增加和 Casson 参数的减小而增加。Casson 和耦合数都控制压力分布和出口板材厚度。