The aim of this article is to analyze the mixed convective Ostwald–de Waele power-law nanofluid flow over vertical frustum of a cone in a non-Darcy porous medium using an efficient numerical technique. The involved power-law nanofluid model utilizes water as the base fluid, and Ti-alloy (Ti6Al4V) and multi-wall carbon nanotubes (MWCNTs) as the nanoparticles. The solution of resultant non-similarity equations subjected to boundary conditions is described using the local non-similarity technique along with an efficient spectral local linearization method. The error estimation is provided to show the efficiency of above-mentioned solution procedure. A detailed explanation about the impact of nanoparticle volume fraction on the dimensionless velocity and temperature profiles along with heat transfer rate and skin friction coefficient is also provided for both the opposing and aiding flow cases. On comparison of the present results in particular cases with the relevant published data, it is assured that this method gives highly accurate outcomes for this kind of very complex fluid flow problems. The domination of dilatant nanofluid over pseudo-plastic nanofluid in both the aiding and opposing flow cases is noticed for velocity profiles, and the velocity is decreased with an increment in the nanoparticle volume fraction. Also, the variation in profiles with a streamwise coordinate \(\xi\) shows non-similar nature of the problem. The use of Ti-alloy and MWCNTs in this work makes it very profitable in various important sectors like aerospace and medical sector.

本文的目的是使用一种有效的数值技术来分析非达西多孔介质中锥的垂直截锥体上的混合对流Ostwald-de Waele幂律纳米流体。涉及的幂律纳米流体模型利用水作为基础流体，并使用钛合金（Ti6Al4V）和多壁碳纳米管（MWCNT）作为纳米颗粒。使用局域非相似性技术以及有效的光谱局域线性化方法描述了受边界条件影响的结果非相似性方程的解。提供误差估计以示出上述解决过程的效率。对于反向流动和辅助流动情况，也提供了有关纳米粒子体积分数对无量纲速度和温度分布以及传热速率和皮肤摩擦系数的影响的详细解释。通过将当前结果（在特定情况下）与相关公开数据进行比较，可以确保，对于这种非常复杂的流体流动问题，该方法可提供高度准确的结果。在速度情况下，在辅助流动和相反流动情况下，扩张性纳米流体对假塑性纳米流体的控制都得到了注意，并且速度随着纳米颗粒体积分数的增加而降低。另外，具有沿流向坐标的剖面的变化 通过将当前结果（在特定情况下）与相关公开数据进行比较，可以确保，对于这种非常复杂的流体流动问题，该方法可提供高度准确的结果。在速度情况下，在辅助流动和相反流动情况下，扩张性纳米流体对假塑性纳米流体的控制都得到了注意，并且速度随着纳米颗粒体积分数的增加而降低。另外，具有沿流向坐标的剖面的变化 通过将当前结果（在特定情况下）与相关公开数据进行比较，可以确保，对于这种非常复杂的流体流动问题，该方法可提供高度准确的结果。在速度情况下，在辅助流动和相反流动情况下，扩张性纳米流体相对于假塑性纳米流体的控制都得到了注意，并且速度随着纳米颗粒体积分数的增加而降低。另外，具有沿流向坐标的剖面的变化\（\ xi \）显示问题的非相似性质。在这项工作中使用钛合金和多壁碳纳米管使其在航空航天和医疗等各个重要领域非常有利可图。