Importance of Thermal Conductivity Models in Analyzing Heat Transfer of Radiative Hybrid Nanofluid Across a Stretching Sheet using Darcy-Forchheimer Flow

IF 2.5 4区 工程技术 Q2 ENGINEERING, MECHANICAL Journal of Porous Media Pub Date : 2024-01-01 DOI:10.1615/jpormedia.2024051713
Zafar Mahmood, Khadija Rafique, Umar Khan, Taseer Muhammad, Ahmed Hassan
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Abstract

Hybrid nanofluids' enhanced thermal efficiency has important applications in many fields of industry and engineering. So, the goal of this study is to find out how different thermal conductivity models affect important factors in the Darcy-Forchheimer flow and heat transfer of a hybrid nanofluid made of 〖Al〗_2 O_3-Cu and water across a moving surface that can let some fluid pass through it. Magnetohydrodynamics (MHD), thermal radiation, joule heating, and viscous dissipation are all included in the study. Partial differential equations (PDEs) are made more manageable by reducing them to a set of ordinary differential equations (ODEs) via a similarity transformation. After that, Mathematica's shooting technique and the Runge-Kutta algorithm are used to numerically solve these ODEs. The study analyses the effects of key factors on the major physical quantities of interest and presents the findings graphically and tabularly. The research also shows that differing thermal conductivity models lead to significantly varied average Nusselt values. The rate of heat transmission improves with the addition of ϕ_2 and S. The Xue model in the hybrid nanofluid shows a 0.7% increase in heat transfer rate compared to the nanofluid, while the Maxwell model shows a 0.64% increase, and the Yamada-Ota model shows a 1.01% increase. Importantly, for all the considered models of thermal conductivity, the research shows that the average Nusselt number increases linearly with the nanoparticle volume percentage. Finally, the data show that the Yamada-Ota model consistently produces far higher average Nusselt values than the other models.
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利用达西-福克海默流分析辐射混合纳米流体穿过拉伸片传热时导热模型的重要性
增强热效率的混合纳米流体在许多工业和工程领域都有重要应用。因此,本研究的目标是找出不同的导热模型如何影响由〖Al_2 O_3-Cu〗和水组成的混合纳米流体在可让一些流体通过的运动表面上的达西-福克海默流动和传热的重要因素。磁流体动力学(MHD)、热辐射、焦耳加热和粘性耗散都包含在研究中。通过相似性转换,将偏微分方程(PDE)简化为一组常微分方程(ODE),使其更易于处理。然后,使用 Mathematica 的射击技术和 Runge-Kutta 算法对这些 ODE 进行数值求解。研究分析了关键因素对主要相关物理量的影响,并以图形和表格的形式展示了研究结果。研究还表明,不同的导热模型会导致平均努塞尔特值的显著变化。混合纳米流体中的 Xue 模型与纳米流体相比,热传导率提高了 0.7%,而 Maxwell 模型提高了 0.64%,Yamada-Ota 模型提高了 1.01%。重要的是,对于所有考虑过的导热模型,研究表明平均努塞尔特数随纳米粒子体积百分比线性增加。最后,数据显示,Yamada-Ota 模型产生的平均努塞尔特值始终远高于其他模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Porous Media
Journal of Porous Media 工程技术-工程:机械
CiteScore
3.50
自引率
8.70%
发文量
89
审稿时长
12.5 months
期刊介绍: The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.
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