Nanoparticle dispersion in aqueous solutions is a remarkable scientific technique with the potential to significantly advance many branches of engineering. This is attributed to the nonsimilar thermophysical characteristics exhibited by nanofluids in contrast to conventional fluids. The current investigation explores characteristics of bioconvective magnetohydrodynamic (MHD) flow containing suspended hybrid nanoparticles of Cu–MgO, passing through an extending porous surface. Radiation, heat generation, viscous dissipation and buoyancy influences are physical elements considered in this investigation. Additionally, the incorporation of microorganisms results in heightened fluid stability. Furthermore, Lorentz force’s influence on the fluid flow is considered. Water is considered as the base fluid. Copper and Magnesium Oxide are suspended in water. Employing a local non-similarity (LNS) transformation, PDEs are simplified to produce an ODE system. Subsequently, the system’s numerical solution for discrete values of the governing parameters is carried out utilizing the MATLAB function “bvp4c”. The obtained results exhibit a strong agreement with previously published findings. The effects of physical factors have been explored through a comprehensive parametric investigation. Mutual effects are shown through graphical representations, whereas numerical comparisons are shown through tabular displays.

中文翻译：

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具有浮力效应的 MHD 混合纳米流体沿着线性拉伸片流动的生物对流研究：局部非相似性方法

纳米粒子在水溶液中的分散是一项非凡的科学技术，具有显着推进许多工程分支的潜力。这是由于纳米流体与传统流体相比表现出不相似的热物理特性。目前的研究探索了含有悬浮的 Cu-MgO 混合纳米颗粒的生物对流磁流体动力学 (MHD) 流穿过延伸的多孔表面的特性。辐射、发热、粘性耗散和浮力影响是本次研究中考虑的物理因素。此外，微生物的掺入可提高流体稳定性。此外，还考虑了洛伦兹力对流体流动的影响。水被视为基础流体。铜和氧化镁悬浮在水中。采用局部非相似性 (LNS) 变换，偏微分方程被简化以生成 ODE 系统。随后，利用MATLAB函数“bvp4c”对系统控制参数的离散值进行数值求解。获得的结果与之前发表的研究结果非常一致。通过全面的参数研究探索了物理因素的影响。相互影响通过图形表示显示，而数字比较通过表格显示。