In this paper, Newtonian nanofluid flow is observed under the effects of the magnetic field, activation energy and motile microorganisms over an inclined stretchable cylinder. The magnificent aspects of nanoliquid are demonstrated by enduring the Brownian motion and thermophoresis diffusion features. Nonlinear higher order partial differential equations are transformed into first-order ordinary differential equations with suitable similarity variables. The attained sets of governing equations are then cracked by bvp4c procedure in MATLAB mathematical software. The numerical and graphical outcomes of controlling parameters such as Prandtl number, mixed convection, activation energy, thermophoresis, Brownian parameter, Biot number, Lewis number, Peclet number and motile concentration parameter against the velocity, temperature, volumetric concentration and motile concentration of nanoparticles of the fluid are discussed. The velocity is enhanced with the growth valuation in mixed convection and decay by rising variation of buoyancy ratio parameter, magnetic parameter and bio-convective Rayleigh parameter. The evolution in motile microorganisms is due to the increasing values of microorganisms Biot number. The presented data can be helpful in enhancement of manufacturing processes, biomolecules, extrusion systems applications and energy production improvement.

在本文中，在磁场、活化能和活动微生物的作用下，观察了牛顿纳米流体在倾斜的可拉伸圆柱体上的流动。通过持久的布朗运动和热泳扩散特征展示了纳米液体的壮丽方面。将非线性高阶偏微分方程转化为具有合适相似变量的一阶常微分方程。然后在MATLAB数学软件中通过bvp4c程序破解得到的控制方程组。控制参数的数值和图形结果，如普朗特数、混合对流、活化能、热泳、布朗参数、Biot 数、Lewis 数、Peclet 数和运动浓度参数对速度、温度、讨论了流体纳米粒子的体积浓度和运动浓度。通过浮力比参数、磁参数和生物对流瑞利参数的上升变化，混合对流和衰减中的增长估值提高了速度。活动微生物的进化是由于微生物Biot数的增加。所提供的数据有助于改进制造工艺、生物分子、挤出系统应用和能源生产改进。活动微生物的进化是由于微生物Biot数的增加。所提供的数据有助于改进制造工艺、生物分子、挤出系统应用和能源生产改进。活动微生物的进化是由于微生物Biot数的增加。所提供的数据有助于改进制造工艺、生物分子、挤出系统应用和能源生产改进。