The bi‐dimensional flow of a $F{e}_3{O}_4$‐water nanofluid perfusing a porous medium has been considered for investigation. The porous space is in contact with a constantly heated sheet stretching at a linear rate. To simulate the nanofluid flow through the pores, an extended Darcy model due to Brinkman and Forchheimer is utilized considering porosity and permeability effects in a convective environment. Corcione's model for effective dynamic viscosity of the nanoparticle mixture is exploited to deduce the effects of nanoparticle size on the flow. Multiple solutions to governing equations are obtained by availing the optimal homotopy asymptotic scheme and discussed for emerging parameters. A unique stable solution is determined availing a stability analysis approach. The heat movement rate is found to be increasing with the reduced nanoparticle size and the enhanced porosity of porous space.

中文翻译：

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服从Corcione相关性的纳米流体拉伸情况下多种溶液的稳定性分析：扩展的Darcy模型

a的二维流 $F{Ë}_3{Ø}_4$已考虑对渗透多孔介质的水纳米流体进行研究。多孔空间与以线性速率拉伸的持续加热的片材接触。为了模拟通过孔的纳米流体流动，考虑到对流环境中的孔隙率和渗透率效应，利用了由Brinkman和Forchheimer引起的扩展Darcy模型。利用Corcione的纳米颗粒混合物的有效动态粘度模型可以推断出纳米颗粒尺寸对流动的影响。通过利用最佳同伦渐近方案获得控制方程的多个解，并对新兴参数进行讨论。使用稳定性分析方法确定唯一的稳定解决方案。