In current mathematical configuration, the self-propelled movement of gyrotactic swimming microorganisms in the generalized slip flow of MHD nanoliquid past a stretching cylinder is discussed. Convective heat transfer is assumed along with Nield conditions on boundary. The formulation of this biomathematical model yields the boundary value problem of nonlinear partial differential equations. First, modelled mathematical system is transferred into non-dimensional form with the aid of suitable scaling variables and then shooting technique (along with Runge-Kutta-Fehlberg (R-K-F) method) is applied to obtain numerical solution of governing system. The computed numerical solutions are presented with figures and tables, and then these results are critically analyzed in both quantitative and qualitative manners.

在当前的数学构型中，讨论了回旋游泳微生物在 MHD 纳米液体通过拉伸圆柱体的广义滑流中的自推进运动。对流热传递与边界上的 Nield 条件一起假设。该生物数学模型的公式产生非线性偏微分方程的边值问题。首先，借助合适的标度变量将建模的数学系统转化为无量纲形式，然后应用射击技术（连同Runge-Kutta-Fehlberg（RKF）方法）获得控制系统的数值解。计算出的数值解以图形和表格形式呈现，然后以定量和定性方式对这些结果进行批判性分析。