The objective of this study is to discuss the micro rheology of mucus (Jeffrey nanofluid) which is a complex biological fluid that protects lungs from pollutants, bacteria, and allergens that can be inhaled during the breathing process. To see the insight of pollutants and effect of surrounding temperature in the mucus, momentum, energy, and concentration equations are modeled with the help of metachronal wave formed by cilia beating. The governing system of equations are modeled in the wave and fixed frame and simplified by the lubrication approach. The velocity profile for recovery and effective stroke is compared and it is analyzed that effective stroke possess high magnitude of velocity when compared with the recovery stroke. The flow of mucus with pollutants and surrounding temperature is calculated with homotopy perturbation method and software “MATHEMATICA.” The results within the given domain are convergent under the different parameters appearing into the system of equations. The physical interpretation of involved parameters is explained through graphs.

中文翻译：

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Jeffrey 纳米流体通过纤毛跳动受周围温度影响的微流变学

本研究的目的是讨论粘液（杰弗里纳米流体）的微流变学，它是一种复杂的生物流体，可保护肺部免受呼吸过程中可吸入的污染物、细菌和过敏原的侵害。为了观察粘液中污染物和周围温度的影响，借助纤毛跳动形成的异时波对动量、能量和浓度方程进行建模。方程的控制系统在波浪和固定框架中建模，并通过润滑方法进行了简化。比较了恢复和有效行程的速度分布，并分析了与恢复行程相比，有效行程具有较高的速度。用同伦微扰法和软件“MATHEMATICA”计算含有污染物和周围温度的粘液流量。给定域内的结果在方程组中出现的不同参数下收敛。相关参数的物理解释通过图表进行解释。