Abstract A new mathematical model is envisaged that discusses the flow of the three-dimensional Tangent hyperbolic nanofluid flow with Hall current and Ion slip influenced by a strong magnetic field past a stretching sheet. The heat transmission phenomenon is analyzed in attendance of modified Fourier law amalgamated with Newtonian heating, the Arrhenius activation energy, and chemical reaction. The induction of gyrotactic microorganisms boosts the stability of the immersed nanoparticles into the customary fluid. The use of pertinent transformations converts the envisioned model in the form of partial differential equations into the coupled differential equations. The MATLAB software function bvp4c is engaged to address the highly nonlinear system of equations. The association of the involved profiles with the pertinent parameters is discussed in length logically and is depicted through graphs and the numerically erected tables. The results revealed that the fluid velocity is increased when Hall current and the Ion slip are strengthened. Moreover, the concentration of the fluid is enhanced when the values of the activation energy are improved. A comparison table with an already established result is also added to this investigation to validate the envisioned model. A good correlation between the two fallouts is obtained.

中文翻译：

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生物对流在具有 Cattaneo-Christov 热通量和活化能的三维切线双曲线部分电离磁化纳米流体流动中的作用

摘要 设想了一个新的数学模型，讨论了具有霍尔电流和离子滑移的三维正切双曲纳米流体流受强磁场通过拉伸片的影响。热传递现象是在修正傅立叶定律与牛顿加热、阿伦尼乌斯活化能和化学反应相结合的情况下进行分析的。回旋微生物的诱导提高了浸入常规流体中的纳米颗粒的稳定性。相关变换的使用将偏微分方程形式的预想模型转换为耦合微分方程。MATLAB 软件函数 bvp4c 用于处理高度非线性的方程组。所涉及的剖面与相关参数的关联在逻辑上进行了详细讨论，并通过图表和数字竖立的表格进行了描述。结果表明，当霍尔电流和离子滑移增强时，流体速度增加。此外，当活化能值提高时，流体的浓度提高。该调查还添加了一个具有已建立结果的比较表，以验证设想的模型。获得了两个后果之间的良好相关性。当活化能值提高时，流体的浓度提高。该调查还添加了一个具有已建立结果的比较表，以验证设想的模型。获得了两个后果之间的良好相关性。当活化能值提高时，流体的浓度提高。该调查还添加了一个具有已建立结果的比较表，以验证设想的模型。获得了两个后果之间的良好相关性。