In this paper, an investigation into Williamson nanofluid stagnation point flow of nano-biofilm over a stretching/ shrinking sheet with chemical reaction is performed. Moreover, the impact of cylindrical-shaped nanoparticles, activation energy, and bioconvection has been considered. The fluid’s fluctuating transport properties (dynamic viscosity, heat conductivity, nanoparticle mass diffusivity) and microorganism diffusivity are evaluated. The nonlinear systems of partial differential equations are transformed into nonlinear differential equations via the implementation of similarity transformations. The shooting approach and RK-4 technique are used for this investigation. The impacts of various fluid transport characteristics and various factors on patterns of velocity, temperature, the concentration of nanoparticles, and motile density are described. The Brownian motion, heat source and thermophoresis parameters all lead to a more consistent temperature profile being observed. It is seen that concentration-dependent properties decrease the velocity profile while the temperature, concentration, and motile density profiles increase. Also, the physical quantities decrease with the rising values of concentration-dependent properties.

在本文中，对纳米生物膜在具有化学反应的拉伸/收缩片上的 Williamson 纳米流体驻点流动进行了研究。此外，还考虑了圆柱形纳米粒子、活化能和生物对流的影响。评估了流体的波动传输特性（动态粘度、热导率、纳米颗粒质量扩散率）和微生物扩散率。通过相似变换的实现，将偏微分方程的非线性系统转化为非线性微分方程。本次调查使用射击方法和 RK-4 技术。各种流体传输特性和各种因素对速度、温度、纳米粒子浓度模式的影响，和运动密度进行了描述。布朗运动、热源和热泳参数都导致观察到更一致的温度分布。可以看出，浓度依赖性特性会降低速度分布，而温度、浓度和运动密度分布会增加。此外，物理量随着浓度相关属性值的增加而减少。