The flow between two parallel plates driven by a pulsatile pressure gradient was studied analytically with a second-order velocity expansion. The resulting velocity distribution was compared with a numerical solution of the momentum equation to validate the analytical solution, with excellent agreement between the two approaches. From the velocity distribution, the analytical computation of the discharge, wall shear stress, discharge, and dispersion enhancements were also computed. The influence on the solution of the dimensionless governing parameters and of the value of the rheological index was discussed.

中文翻译：

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Ostwald-de Waele 流体在平行板之间的脉动流

用二阶速度膨胀分析研究了由脉动压力梯度驱动的两个平行板之间的流动。将得到的速度分布与动量方程的数值解进行比较，以验证解析解，两种方法之间具有极好的一致性。根据速度分布，还计算了流量、壁面剪应力、流量和色散增强的解析计算。讨论了无量纲控制参数和流变指数值对求解的影响。