In the rheological characterization of non-Newtonian fluids in a steady torsional shear flow using a parallel-plate geometry, there is a need to correct the shear stress at the rim for non-Newtonian behavior. Solving the governing torsional flow equation inversely by Tikhonov regularization using experimental torque vs. rim shear rate data is the most scientific method for obtaining the model independent shear stress. In this short communication, a simple empirical method based on using the derivative of the polynomial fit to torque vs. rim shear rate to correct for the shear stress is presented. This method can be applied to any fluid behavior. The accuracy of this method was confirmed by the outstanding agreement of between the shear stress results of the two methods of polynomial and the inverse problem for magnetorheological fluids. The performance of other correction methods was also discussed.

中文翻译：

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修正非牛顿行为的平行板边缘剪应力的简单方法

在使用平行板几何形状的稳定扭转剪切流中非牛顿流体的流变学表征中，需要针对非牛顿行为校正轮缘处的剪切应力。利用实验扭矩与轮辋剪切速率数据通过Tikhonov正则化反演控制扭转流量方程是获得独立于模型的剪切应力的最科学方法。在这种简短的交流中，提出了一种简单的经验方法，该方法基于使用多项式拟合的导数来计算扭矩与轮辋的剪切速率，以校正剪切应力。该方法可以应用于任何流体行为。两种方法的剪切应力结果与磁流变流体的反问题之间的显着一致性，证实了该方法的准确性。