The bioconvective stagnation point flow involving carbon nanotubes along a lengthening sheet subject to induced magnetic field and multiple stratification effects has been considered for investigation. Relevant similarity formulas are effectuated in converting the modelled equations into a first-order system of ODEs and are further treated in MATLAB using ODE45 and Newton Raphson method. Illustrations on the consequence of effectual parameters on the physical quantities and the flow profiles are achieved with the aid of graphs. It is observed that the nanofluid temperature profile ascends with augmenting volume fraction and Eckert number. The numerical veracity of the present study is displayed through a restrictive study with prior published works and a commendable agreement is noted. Nusselt number is found to elevate with volume fraction and lower with thermal stratification parameter. Moreover, the findings of the present numerical exploration have applications in biomedical imaging, hyperthermia, targeted drug delivery, and cancer therapy.

中文翻译：

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感应磁场对碳纳米管生物对流驻点流动的三重分层效应

涉及碳纳米管沿受感应磁场和多重分层效应的加长片的生物对流驻点流已被考虑用于研究。相关的相似性公式在将建模方程转换为一阶 ODE 系统时实现，并在 MATLAB 中使用ODE45进一步处理和牛顿拉夫森方法。借助图表可以说明有效参数对物理量和流动剖面的影响。观察到纳米流体温度分布随着体积分数和埃克特数的增加而上升。本研究的数值准确性通过对先前已发表作品的限制性研究显示出来，并指出了值得称赞的一致性。发现努塞尔数随体积分数升高而随热分层参数降低。此外，目前数值探索的发现在生物医学成像、热疗、靶向药物输送和癌症治疗中都有应用。