This article delves into the steady flow of couple stress nanoliquid by applying the magnetic field in conjunction with the resultant entropy produced in an upright microchannel which is immersed with Titanium-dioxide nano-sized particles with water being base fluid. Both the walls facilitate injection and suction of the fluid. The entropy generated and Bejan number is figured out by making use of velocity and temperature profiles. The coalesce sequel of nanoparticle volume fraction, magnetic field, linear thermal radiation and buoyancy force along with heat source/sink are taken into account. The equations governing the fluid flow are formulated under the impact of viscous dissipation and the numerical computations of the non-linear equations are made by using the shooting technique together with Runge–Kutta–Fehlberg fourth-fifth scheme. The effect of the viscous dissipation, Grashof number, Hartmann number and couple stress parameter on nanoliquid flow and thermal distributions are thrashed out and exposed graphically. The results indicate that peak values of couple stress parameter diminishes the velocity, temperature and entropy profile whereas amplifies the Bejan number. Also lower values of Hartmann number and nanoparticle volume fraction promotes the flow and higher values of heat source parameter and Peclet number exhibits augmentation in the thermal profile.

本文通过施加磁场并结合在直立微通道中产生的熵来深入研究耦合应力纳米液体的稳定流动，该微通道浸入了以水为基液的二氧化钛纳米颗粒。两个壁均有助于流体的注入和抽吸。生成的熵和 Bejan 数是通过使用速度和温度曲线计算出来的。考虑了纳米颗粒体积分数、磁场、线性热辐射和浮力以及热源/汇的聚结后遗症。在粘性耗散的影响下制定了控制流体流动的方程，并使用射击技术结合 Runge-Kutta-Fehlberg 四五方案进行了非线性方程的数值计算。粘性耗散、格拉肖夫数、哈特曼数和耦合应力参数对纳米液体流动和热分布的影响被推翻并以图形方式展示。结果表明，耦合应力参数的峰值减小了速度、温度和熵分布，而放大了 Bejan 数。此外，哈特曼数和纳米颗粒体积分数的较低值促进了流动，而热源参数和佩克莱特数的较高值则表现出热分布的增强。温度和熵分布，而放大 Bejan 数。此外，哈特曼数和纳米颗粒体积分数的较低值促进了流动，而热源参数和佩克莱特数的较高值则表现出热分布的增强。温度和熵分布，而放大 Bejan 数。此外，哈特曼数和纳米颗粒体积分数的较低值促进了流动，而热源参数和佩克莱特数的较高值则表现出热分布的增强。