In nanotechnology, the nanofluids are decomposition of base materials and nanoparticles where the nanoparticles are immersed in base liquid. The utilization of such nanoparticles into base liquids can significantly enhance the thermal features of resulting materials which involve applications in various industrial and technological processes. While studying the rheological features of non-Newtonian fluids, the constant viscosity assumptions are followed in many investigations. However, by considering the viscosity as a temperature-dependent is quite useful to improve the heating processes along with nanoparticles. Keeping such motivations in mind, this investigation reports the temperature-dependent viscosity and variable heat-dependent conductivity in bioconvection flow of couple stress nanoparticles encountered by a moving surface. The famous Reynolds exponential viscosity model is used to deploy the relations for temperature-dependent viscosity. Moreover, the activation energy and higher order slip (Wu’s slip) are also elaborated to make this investigation more novel and unique. The emerging flow equations for governing flow problem are formulated which are altered into non-dimensional forms. The numerical simulations with applications of Runge–Kutta fourth–order algorithm are focused to obtain the desired solution. Before analyzing the significant physical features of various parameters, the confirmation of solution is done by comparing the results with already reported investigations as limiting cases. The results are graphically elaborated with relevant physical consequences. Various plots for velocity, temperature, concentration, wall shear stress, local Nusselt number, local Sherwood number and motile density numbers are prepared.

中文翻译：

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生物对流耦合应力纳米流体行为分析与温度相关的粘度和移动表面遇到的高阶滑移

在纳米技术中，纳米流体是基础材料和纳米粒子的分解，其中纳米粒子浸入基础液体中。在基础液体中使用这种纳米颗粒可以显着增强所得材料的热特性，这些材料涉及各种工业和技术过程中的应用。在研究非牛顿流体的流变特性时，许多研究都遵循恒定粘度假设。然而，通过将粘度视为与温度相关的因素，对于改进加热过程以及纳米颗粒非常有用。牢记这些动机，本研究报告了移动表面遇到的耦合应力纳米粒子的生物对流中的温度依赖性粘度和可变的热电导率。著名的雷诺指数粘度模型用于部署温度相关粘度的关系。此外，还对活化能和高阶滑移（Wu's slip）进行了阐述，使本研究更加新颖和独特。用于控制流动问题的新兴流动方程被表述为无量纲形式。应用 Runge-Kutta 四阶算法的数值模拟的重点是获得所需的解决方案。在分析各种参数的重要物理特征之前，通过将结果与作为限制情况报告的调查结果进行比较来确认解决方案。结果以图形方式详细说明了相关的物理后果。速度、温度、浓度、壁面剪应力、局部努塞尔数的各种图，