The aim of the current investigation is to discuss the behavior of mixed convection magnetohydrodynamic flow of Eyring–Powell nanoliquid subjected to gyrotactic microorganisms over a stretchable cylinder. Energy communication is developed through the first law of thermodynamics and deliberated in the manifestation of viscous dissipation. Furthermore, Brownian motion and thermophoresis effects are also considered. Nonlinear system of partial differential equations is altered into ordinary one due to employing transformations. The given systems are then solved through ND-solve technique. Impact of influential variables on velocity, motile microorganism’s temperature, and concentration is deliberated graphically. Skin friction coefficient, mass transfer rate, density number, and Nusselt number are numerically computed versus different influential variables. Velocity and temperature have opposite impact for curvature parameter. For higher estimation of fluid parameter, temperature and velocity fields boost up.

当前研究的目的是讨论在可拉伸圆柱体上受到旋回微生物作用的Eyring-Powell纳米液体的混合对流磁流体动力学行为。能量传递是通过热力学第一定律发展起来的，并以粘性耗散的形式进行了研究。此外，还考虑了布朗运动和热泳效应。由于采用了变换，偏微分方程的非线性系统变成了普通系统。然后通过ND-solve技术求解给定的系统。图形化地研究了影响变量对速度，运动微生物的温度和浓度的影响。皮肤摩擦系数，传质速率，密度数，Nusselt数和Nusselt数是根据不同影响变量进行数值计算的。速度和温度对曲率参数的影响相反。为了对流体参数进行更高的估计，温度和速度场会增加。