Many non-Newtonian materials behave as a polymeric solution and this type of materials is used in various industrial and physical applications such as polymer extraction, manufacturing processes, various geophysical systems, and glass production. Especially the gyrotactic microorganisms have widely used for the production of biodiesel, hydrogen, an essential sustainable energy source and in water treatment plants. This study intends to examine the impacts of magnetic field, convective boundary state on bioconvection of a tangent hyperbolic nanofluid in the presence of gyrotactic microorganisms over a porous stretching surface with a Cattaneo–Christov heat and mass flux model. Appropriate self-similarity variables are implemented to transform the fluid transport equations into ordinary differential equations that have been resolved using the homotopy perturbation method. The influences of effective parameters on transport properties of the fluid are represented with graphs and tables. This model forecast the shear-thinning attitude significantly and exactly describes the flow of fluids. It is noted from the obtained results that the velocity profile declines with raising the Weissenberg number and buoyancy ratio parameter. It also observed that the temperature profile rises with a growth in the radiation and thermal relaxation parameters. The higher values of the stagnation parameter increase the rate of heat transfer while it is opposite nature in the mixed convection parameter. Microorganisms density uplifts with an increase in Peclet number, while it decreases for the microorganism concentration difference. Microorganisms density increases with an enlargement in bioconvection Schmidt number.

许多非牛顿材料表现为聚合物溶液，这种类型的材料用于各种工业和物理应用，例如聚合物提取、制造过程、各种地球物理系统和玻璃生产。特别是回旋微生物已广泛用于生产生物柴油、氢气、一种重要的可持续能源和水处理厂。本研究旨在使用 Cattaneo-Christov 热和质量通量模型，在多孔拉伸表面上存在回旋微生物的情况下，研究磁场、对流边界状态对切线双曲纳米流体的生物对流的影响。实施适当的自相似变量以将流体传输方程转换为已使用同伦微扰法求解的常微分方程。有效参数对流体传输特性的影响用图表和表格表示。该模型显着地预测了剪切稀化姿态，并准确地描述了流体的流动。从得到的结果可以看出，随着Weissenberg 数和浮力比参数的增加，速度剖面下降。它还观察到温度曲线随着辐射和热弛豫参数的增加而上升。停滞参数的较高值会增加传热速率，而在混合对流参数中则相反。微生物密度随着佩克莱数的增加而升高，而随着微生物浓度的差异而降低。微生物密度随着生物对流施密特数的增大而增加。