The aim of current communication is to investigate the flow features of Cross nanomaterial over stretched porous surface subject to activation energy and magnetic field. The idea of gyrotactic microorganisms is used to stabilize the nanoparticles in Cross fluid. Temperature relation is modeled considering thermal radiation and viscous dissipation. Furthermore, Bio-convection through mutual effects of thermophoresis and Brownian diffusion is also considered. Boundary layer assumptions are used to obtain the flow expressions. The obtained flow expressions are transformed into non-dimensional one using similarity transformations. Newton built in shooting technique code in mathematica software is implemented to study the impact of potential parameters on velocity, temperature, concentration and concentration of microorganisms. Numerical computations for physical quantities such as skin friction, Nusselt, Sherwood and density numbers are also discussed. Important observations are highlighted at the end.

中文翻译：

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活化能和磁场作用下含回旋微生物的交叉纳米流体的自然生物对流流动研究

当前通讯的目的是研究 Cross 纳米材料在受活化能和磁场影响的拉伸多孔表面上的流动特征。回旋微生物的想法用于稳定克罗斯流体中的纳米颗粒。考虑热辐射和粘性耗散对温度关系进行建模。此外，还考虑了通过热泳和布朗扩散相互影响的生物对流。边界层假设用于获得流表达式。使用相似变换将获得的流表达式转换为无维数。牛顿在数学软件中内置的射击技术代码用于研究潜在参数对速度、温度、浓度和微生物浓度的影响。还讨论了物理量的数值计算，例如皮肤摩擦、努塞尔特数、舍伍德数和密度数。最后突出显示了重要的观察结果。