Worldwide energy requirements demand the functioning and formulating of thermal mechanisms and heat exchangers for the use and resuscitation of thermal energy. As a result, new heat transport liquids subject to improved heat transport characteristics are needed to enhance convection heat transport in nanoliquids. With that objective, the present work addresses the dynamical investigation for bioconvection effects containing gyrotactic motile microorganisms of Jeffery nanofluid over a stretching sheet, influenced by a magnetic dipole with ferromagnetic particles. Ferro nanofluids are used to develop a microtransformer which is mainly used in electronic products such as note books, e-paper, and mobile phones. Moreover, activation energy and thermal radiation are taken into account. The proposed model is based on flow rate, volumetric concentration of nanoparticle, motile microorganism, and nanomaterial temperature. The technical efficiency of nanofluids is explored by the evaluation of the Buongiorno process which helps us to determine the attractiveness of thermophoretic and Brownian diffusions. An appropriate transformation is established to transform the system of nonlinear partial differential equation (PDEs) into coupled nonlinear ODEs, which are numerically solved by a bvp4c solver in MATLAB. Results for various fundamental flow parameters are demonstrated through numeric results and graphical outcomes. .

世界范围内的能源需求要求热机制和热交换器的功能和制定，以使用和回收热能。因此，需要具有改进的传热特性的新型传热液体来增强纳米液体中的对流传热。为了这个目标，目前的工作解决了包含 Jeffery 纳米流体在拉伸片上的回旋运动微生物的生物对流效应的动力学研究，受具有铁磁颗粒的磁偶极子的影响。Ferro纳米流体用于开发微型变压器，主要应用于笔记本、电子纸、手机等电子产品。此外，还考虑了活化能和热辐射。建议的模型基于流量，纳米颗粒、活动微生物和纳米材料温度的体积浓度。通过对 Buongiorno 过程的评估来探索纳米流体的技术效率，这有助于我们确定热泳和布朗扩散的吸引力. 建立了适当的转换，将非线性偏微分方程 (PDE) 系统转换为耦合非线性 ODE，并通过 MATLAB 中的 bvp4c 求解器对其进行数值求解。各种基本流量参数的结果通过数字结果和图形结果来证明。.