The present investigation focuses on the intricate interplay of multiple stratified effects on the stagnation point nanofluid flow with gyrotactic microorganisms across a porous medium. The study encompasses a comprehensive numerical analysis, examining the impacts of varying parameters, such as stratification parameters, porosity, etc., on the flow characteristics. The gyrotactic behavior of microorganisms further adds complexity to the analysis. The findings contribute to a deeper understanding of the combined effects and their consequences on heat and mass transfer within the system. Such insights hold relevance in various engineering and environmental applications, including biofuel production and water treatment processes. Numerical solutions are obtained via the fifth order Runge-Kutta-Fehlberg method with shooting technique. A graphical view of the velocity, temperature, concentration, and density of the microorganism-profile-concerned parameters are discussed in detail. A comparison with the local Nusselt number for distinct values of the Prandtl number reveal the validity of current results. The temperature, concentration, and density of microorganism fields lessened with enhancement of thermal, solutal, and motile stratification parameters. Also, concentration field boosts with enhancement of thermophoresis and Brownian motion parameter.

中文翻译：

---

多孔介质上旋转微生物对驻点纳米流体流动的多层次效应

目前的研究重点是驻点纳米流体流动的多重分层效应与多孔介质中的旋转微生物的复杂相互作用。该研究包括全面的数值分析，检查不同参数（例如分层参数、孔隙率等）对流动特性的影响。微生物的旋转行为进一步增加了分析的复杂性。这些发现有助于更深入地了解综合效应及其对系统内传热传质的影响。这些见解与各种工程和环境应用相关，包括生物燃料生产和水处理过程。数值解是通过五阶龙格-库塔-菲尔伯格方法和射击技术获得的。详细讨论了微生物概况相关参数的速度、温度、浓度和密度的图形视图。与局部努塞尔数的不同普朗特数值的比较揭示了当前结果的有效性。随着热、溶液和运动分层参数的增强，微生物场的温度、浓度和密度降低。此外，浓度场随着热泳和布朗运动参数的增强而增强。