钴铁氧体纳米颗粒的独特磁性特点使其在生物成像和治疗应用方面具有潜力。通过对纤毛环液的纳米流体活动的理解，可以为磁共振成像提供更好的对比剂，并改善癌症治疗和其他医疗疗法。本文对沿着纤毛环通过静电渗透运输纳米流体的理论结论进行了全面分析。纳米流体由钴铁氧体纳米颗粒（CoFe2 O4）、水（H2 O）和乙二醇（C2 H6 O2）组成。作为构建物理模型的一部分，基于质量、动量和能量守恒进行了数学分析。无量纲分析和数学约束被用于更多地了解系统。通过生成微分方程并包含适当的边界条件，可以得到精确解，进而进行视觉检查。最近的研究表明，流速与纤毛长度、Zeta电位和Helmholtz-Smoluchowski速度之间存在反向关系。流线显示，包裹囊的增长受多种因素影响，包括纳米颗粒体积分数、纤毛长度、振幅比、偏心率和Zeta电位。这些结果不仅揭示了纳米流体的运动方式，还具有微流控、传热和生物医学工程等潜在应用。© 2023 Wiley-VCH GmbH.

Unique magnetic characteristics of cobalt-ferrite nanoparticles make them suitable for biological imaging and therapeutic applications. Understanding their activity in nanofluids via the ciliary annulus could lead to better contrast agents for magnetic resonance imaging and improved cancer therapy and other medical therapies. This article provides a comprehensive analysis of the theoretical conclusions regarding the transport of a nanofluid by electroosmosis across a ciliary annulus. The nanofluid consists of cobalt-ferrite nanoparticles (CoFe2 O4 ), water (H2 O), and ethylene glycol (C2 H6 O2 ). As part of the investigation into constructing a physical model, mathematical analysis is performed based on the conservation of mass, momentum, and energy. Dimension-free analysis and mathematical constraints are utilized to learn more about the system. By generating differential equations and including suitable boundary conditions, one can obtain exact solutions, which can then be visually inspected. Recent studies have demonstrated an inverse relationship between flow velocity and cilia length, zeta potential, and Helmholtz-Smoluchowski velocity. The streamlines show that the growth of the trapping boluses is affected by several factors, including the nanoparticles' volume fraction, the cilia's length, the amplitude ratio, the eccentricity, and the zeta potential. These results not only shed light on how nanofluids move, but they also have potential applications in microfluidics, heat transfer, and biomedical engineering.© 2023 Wiley-VCH GmbH.