The intriguing thermophysical properties of nanoparticles have considerable potential in thermal transportation for engineering applications. The inclusion of solid nanoparticles in the base fluid raises the fluid's thermal conductivity, which improves thermal transfer characteristics. Thus, an analysis is performed by assuming the Tiwari and Das model, for the flow and energy transportation aspects of hybrid nanoparticles in a shrinkable porous medium. The current study focuses on the thermal heat transfer performance on the dynamic of ethylene glycol-based titania and alumina nanoparticles. The flow-controlling system of PDEs is transformed into a system of non-linear ODEs by using similarity transformations, and the resulting equations are then solved numerically through the solver bvp4c in Matlab function with a limit of tolerance . The multiple branches of solutions are noted for distinct values of suction and shrinking parameters. The outcomes reveal that the inclusion of titania and alumina nanocomposites improves the thermophysical properties of the base fluid significantly. The findings indicate that hybrid nanofluids are more effective for increasing the thermal transport rate. Further, in the upper branch solution, the friction drags, and energy transportation rate raises for the higher influence of suction strength while it declines for the lower branch.

中文翻译：

---

不规则产热/吸热混合纳米流体磁化粘性耗散材料的动力学

纳米粒子有趣的热物理性质在工程应用的热传输方面具有巨大的潜力。基液中包含的固体纳米粒子提高了流体的导热率，从而改善了传热特性。因此，通过假设 Tiwari 和 Das 模型对混合纳米粒子在可收缩多孔介质中的流动和能量传输方面进行分析。目前的研究重点是乙二醇基二氧化钛和氧化铝纳米颗粒的动态传热性能。通过使用相似变换将偏微分方程的流量控制系统转化为非线性常微分方程组，然后通过Matlab中的求解器bvp4c以公差极限函数对所得方程进行数值求解。解决方案的多个分支因吸力和收缩参数的不同值而被注意到。结果表明，二氧化钛和氧化铝纳米复合材料的加入显着改善了基液的热物理性质。研究结果表明，混合纳米流体对于提高热传输速率更有效。此外，在上支路溶液中，由于吸力强度的影响较大，摩擦阻力和能量传输速率升高，而下支路则下降。