In wellbore drilling, it is appreciable to devise methods to study the rheology of high-speed annulus fluid flows. In this paper, a high-speed Taylor-Couette system (TCS) was devised to explore non-Newtonian fluid flow behavior appraised by SiO₂ nanoparticles toward friction reduction, power saving, and rheology modeling of nanofluids. Water-based mud (WBM) as an environmentally friendly drilling fluid is investigated by adding SiO₂ nanoparticles at four low-volume concentrations of 0.05, 0.1, 0.5, and 1% at speeds from 0 to 1,600 rev/min with 200 rev/min intervals in the TCS. Five rheology models based on the Herschel-Bulkley-Extended (HBE) model and a generalized Reynolds number were optimized to fit with the experimental data. All models except the Newtonian model have fitted all nanofluids with high accuracy, especially Bingham and HBE models. Negative deviation from Darcy friction was avoided for power-law (PL) and Herschel-Bulkley (HB) models using the modification to the generalized Reynolds number. Higher energy saving and enhanced rheology is reported particularly at lower volume concentrations of SiO₂ WBM nanofluids. The Darcy friction factor deviated from laminar flow at the generalized Reynolds number beyond 2,000 into turbulent, which is a good indicator for the flow condition of complex non-Newtonian nanofluids in real-life application.

在井眼钻井中，设计研究高速环空流体流动的流变学的方法是可观的。在本文中，设计了一种高速 Taylor-Couette 系统 (TCS) 来探索由 SiO ₂纳米粒子评估的非牛顿流体流动行为，以减少纳米流体的摩擦、节能和流变学建模。水基泥浆（WBM）作为一种环保钻井液，通过添加SiO _{2 进行研究}在 TCS 中以 0 至 1,600 转/分钟的速度以 0.05、0.1、0.5 和 1% 的四种低体积浓度制备纳米颗粒，间隔为 200 转/分钟。对基于 Herschel-Bulkley-Extended (HBE) 模型和广义雷诺数的五个流变模型进行了优化，以符合实验数据。除牛顿模型外的所有模型都高精度地拟合了所有纳米流体，尤其是宾厄姆模型和 HBE 模型。使用对广义雷诺数的修改，幂律 (PL) 和 Herschel-Bulkley (HB) 模型避免了达西摩擦的负偏差。据报道，特别是在较低体积浓度的 SiO ₂下，更高的节能和增强的流变性WBM 纳米流体。达西摩擦因数在广义雷诺数超过 2000 时从层流偏离为湍流，这是实际应用中复杂非牛顿纳米流体流动状况的良好指标。