In a suspension of tangent hyperbolic bionanofluid keeping both nanoparticles and motile microorganisms, the thermobioconvective boundary layer flow was studied through an exponentially stretching surface utilizing response surface methodology (RSM). The constructed model of a tangent hyperbolic nanofluid in boundary layer flow is studied with implications of thermophoresis and Brownian motion. Condition of zero normal flux of nanomaterials is added at the surface to scatter the nanomaterials from the plate surface. The rate of heat transfer is analyzed using convective boundary condition. Numerical shooting strategy with Runge-Kutta scheme is to follow intently behind the similarity transformation to solve the system of governing equations. It is assumed that the output variables of interest are dependent on the governing input parameters. The sensitivity analysis is additionally introduced. It is discovered that the sensitivity of local Nusselt number increments by expanding Lewis and thermophoresis number while the highest non-dimensional Nusselt number appears close to the significant level for the thermophoresis and low level for the Brownian motion variable. Additionally, it is demonstrated that the average maximum mean thickness of motile microorganism appears at the highest level of Brownian motion and thermophoresis number and thermophoresis and Lewis numbers. The results would provide initial guidance for potential manufacture of devices.

在既保持纳米颗粒又保持运动微生物的正切双曲线双离子纳米流体悬浮液中，利用响应表面方法（RSM）通过指数拉伸表面研究了热生物对流边界层流动。研究了边界层流中切线双曲线纳米流体的模型，并提出了热泳和布朗运动的含义。纳米材料的法向通量为零的条件被添加到表面，以将纳米材料从板表面散射。使用对流边界条件分析传热速率。使用Runge-Kutta方案进行数值拍摄的策略是紧跟在相似变换之后，以求解控制方程组。假定感兴趣的输出变量取决于控制输入参数。另外介绍了灵敏度分析。已发现，通过扩大路易斯数和热泳数可以提高局部Nusselt数的敏感性，而最高的无量纲Nusselt数则对热泳的显着水平和布朗运动变量的低水平都接近。另外，证明运动微生物的最大平均平均厚度出现在布朗运动和热泳数以及热泳和路易斯数的最高水平。结果将为潜在的设备制造提供初步指导。已发现，通过扩大路易斯数和热泳数可以提高局部Nusselt数的敏感性，而最高的无量纲Nusselt数则对热泳的显着水平和布朗运动变量的低水平都接近。另外，证明运动微生物的最大平均平均厚度出现在布朗运动和热泳数以及热泳和路易斯数的最高水平。结果将为潜在的设备制造提供初步指导。已发现，通过扩大路易斯数和热泳数可以提高局部Nusselt数的敏感性，而最高的无量纲Nusselt数则对热泳的显着水平和布朗运动变量的低水平都接近。另外，证明运动微生物的最大平均平均厚度出现在布朗运动和热泳数以及热泳和路易斯数的最高水平。结果将为潜在的设备制造提供初步指导。