Here flow behavior of stratified Williamson nanofluid over porous surface of stretching cylinder is examined. The concept of gyrotactic miscroorganisms is implemented to control the random movement of suspended nanoparticles. Effects of magnetic field is accounted. Further chemical reaction with Arrhenius activation energy is considered for the modeling of concentration equation. Brownian motion and thermophoresis effects are further considered. The flow model is obtained by employing the boundary layer assumptions. Appropriate transformations are used to reduced the dimensional system into non-dimensional ones. NDSolve code in MATHEMATICA software is used to tackle the obtained non-dimensional flow expressions. Behavior of velocity, mass concentration, temperature and motile microorganisms versus involved variables is examined graphically. The engineering curiosity like skin friction coefficient, heat and mass transfer rates (Nusselt and Sherwood numbers) and density number are computed and analyzed. Important observations are highlighted at the end.

在这里检查分层的威廉姆森纳米流体在拉伸圆柱体的多孔表面上的流动行为。实施了旋回杂菌的概念以控制悬浮的纳米粒子的随机运动。考虑了磁场的影响。在浓度方程模型中，考虑了与Arrhenius活化能的进一步化学反应。进一步考虑布朗运动和热泳效应。通过采用边界层假设获得流动模型。适当的转换用于将维数系统简化为无维数。MATHEMATICA软件中的NDSolve代码用于处理获得的无量纲流表达式。用图形检查速度，质量浓度，温度和运动性微生物相对于所涉及变量的行为。工程好奇心如皮肤摩擦系数，传热和传质速率（Nusselt和Sherwood数）和密度数均经过计算和分析。重要的意见在末尾突出显示。