In this paper, we consider a steady-state flow the thermomicropolar fluid through a thin straight channel. The flow is governed by the prescribed pressure drop between channel's ends. The heat exchange between the fluid inside the channel and the exterior medium is allowed through the upper wall, whereas the lower wall is insulated. Using the asymptotic analysis with respect to the thickness of the channel, we derive a first-order asymptotic solution acknowledging the effects of the fluid's microstructure. A rigorous justification of the proposed effective model is provided by proving the error estimates in suitable norms.

中文翻译：

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热微极流体流过带冷却的薄通道的渐近分析

在本文中，我们考虑了热微极流体通过细直通道的稳态流动。流量由通道两端之间规定的压降控制。通道内的流体与外部介质之间的热交换是通过上壁进行的，而下壁是隔热的。使用关于通道厚度的渐近分析，我们推导出一阶渐近解，承认流体微观结构的影响。通过在适当的规范中证明误差估计，为所提出的有效模型提供了严格的证明。