Rotating Casson nanofluid convection for Au, Ag, CuO and Al2O3 nanoparticles embedded by Darcy-Brinkman porous medium

M. Devi, U. Gupta
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Abstract

The present paper investigates convection in a Casson nanofluid layer in porous medium under the influence of Coriolis force using Darcy-Brinkman model. The analysis is carried out using linear stability theory, normal mode technique, and one term Galerkin type weighted residual method for various metallic and non-metallic nanoparticles. The outcomes are compared with previously published results, and fine agreements are noted for the permissible range of parameters. Numerical simulation for porous media is carried out for blood (Casson fluid) using the software Mathematica to make the investigation helpful for practical applications. The effect of porous medium, rotation, Casson parameter, and nanoparticle parameters is discussed. Interestingly, it is found that though Casson fluids are more stable as compared to regular fluids, the Casson parameter itself has a destabilizing effect on the system. The main objective of the study is to consider the impact of Coriolis force on a Casson nanofluid layer with metallic and non-metallic nanoparticles. This effect is of paramount importance in geophysical studies, particularly in the extraction of crude oils. Further, by increasing the rotation parameter, the axial velocity of the blood-based Casson fluid increases, which may help in the treatment of stenosis of arteries and throat. The importance and novelty of the study is the fact that Coriolis force can stabilize various nanoparticle-based Casson fluid layer systems, which were otherwise unstable. As far as metallic and non-metallic nanoparticles are concerned, the stability pattern followed by metallic nanofluids is iron-blood > copper-blood > silver-blood > gold-blood, and for non-metallic nanofluids is silica-blood > alumina-blood > titanium oxide-blood > copper oxide-blood.
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Darcy-Brinkman多孔介质中Au, Ag, CuO和Al2O3纳米颗粒的旋转Casson纳米流体对流
本文采用Darcy-Brinkman模型研究了多孔介质中受科里奥利力影响的卡森纳米流体层中的对流问题。采用线性稳定性理论、正态模态技术和一项伽辽金加权残差法对各种金属和非金属纳米颗粒进行了分析。结果与先前发表的结果进行了比较,并注意到参数允许范围的良好一致性。利用Mathematica软件对血液(卡森液)的多孔介质进行了数值模拟,使研究对实际应用有所帮助。讨论了多孔介质、旋转、卡森参数和纳米颗粒参数的影响。有趣的是,研究发现,尽管Casson流体比常规流体更稳定,但Casson参数本身对系统具有不稳定作用。本研究的主要目的是考虑科氏力对金属和非金属纳米颗粒卡森纳米流体层的影响。这种效应在地球物理研究中,特别是在原油开采中,具有极其重要的意义。此外,通过增加旋转参数,血基卡森液的轴向速度增加,这可能有助于治疗动脉和喉咙狭窄。该研究的重要性和新颖性在于,科里奥利力可以稳定各种基于纳米颗粒的卡森流体层系统,否则这些系统是不稳定的。就金属纳米颗粒和非金属纳米颗粒而言,金属纳米流体的稳定性模式为铁-血>铜-血>银-血>金-血,非金属纳米流体的稳定性模式为硅-血>铝-血>氧化钛-血>氧化铜-血。
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