Current pagination is devoted to explicate flow attributes of magnetized ferronanoliquid in permeable media in an absorbent channel. Darcy–Forchheimer's relation is utilized to interpret the consideration of porosity. Two types of metallic oxide nanoparticles are used to study hybrid nano-ferrofluids influenced by convective conduction. Mathematical formulation of problem is attained in partial differential structuring and transmuted into ODE’s by incorporating transformation. Solution of manipulated formulation is attained by implementing shooting method. Influence of involved flow variables is elaborated in graphical manner. Variation in quantities like \(f''\)\((\eta )\) (wall friction coefficient) and \(\theta ^{\prime}(\eta )\) (heat flux) is disclosed in tables. It is observed from analysis that by incrementing Forchheimer number (F) and porosity parameter (r) momentum distribution declines. Thermal augmentation performance is explored with the variation of critical values of the hybrid-nanoparticles volume fractions along with expanding/contracting parameter. It is deduced from examination that addition of hybridized particle composed of \({\text{Fe}}_{{\text{3}}} {\text{O}}_{{\text{4}}}\)+CuO raises thermophysical features of base fluid rather than consideration of CuO particles separately. Novel findings associated with wall drag coefficient at lower boundary of channel in view of decrement in its aptitude versus Darcy–Forchheimer variable in case of contraction is depicted, whereas reverse behavior is observed for the situation of expansion in channel is attained. Decrease in convective thermal flux and wall drag coefficients are exhibited against Reynolds number. Optimum positive change in Nusselt number against Eckert number (Ec) is manifested at nanoparticle volume fraction magnitude equals to 0.05. With expansion in channel Nusselt and skin friction coefficients magnitude drops suddenly.

当前的分页致力于解释磁化铁纳米液体在吸收通道中可渗透介质中的流动属性。Darcy-Forchheimer 的关系被用来解释孔隙度的考虑。两种类型的金属氧化物纳米粒子用于研究受对流传导影响的混合纳米铁磁流体。问题的数学公式是在偏微分结构化中获得的，并通过结合变换转化为常微分方程。操纵配方的解决方案是通过实施射击方法获得的。以图形方式阐述了所涉及的流变量的影响。数量的变化，如\(f''\) \((\eta )\)（壁面摩擦系数）和\(\theta ^{\prime}(\eta )\)（热通量）在表中公开。从分析中可以看出，随着Forchheimer 数 ( F ) 和孔隙度参数 ( r ) 的增加，动量分布下降。热增强性能通过混合纳米粒子体积分数的临界值随膨胀/收缩参数的变化进行探索。由检验推导出由\({\text{Fe}}_{{\text{3}}} {\text{O}}_{{\text{4}}}\)+CuO 提高了基液的热物理特性，而不是单独考虑 CuO 颗粒。描述了与通道下边界处的壁阻力系数相关的新发现，因为在收缩的情况下，它的能力与 Darcy-Forchheimer 变量的减少相比，而在通道中膨胀的情况下观察到了相反的行为。相对于雷诺数，对流热通量和壁阻力系数的降低表现出。Nusselt 数相对于 Eckert 数 (Ec) 的最佳正变化表现为纳米颗粒体积分数大小等于 0.05。随着 Nusselt 通道和皮肤摩擦系数的扩大，幅度突然下降。