Effect of Different Shapes of Nanoparticles on Mixed Convective Nanofluid Flow in a Darcy-Forchhiemer Porous Medium

Q2 Mathematics
Annapurna T, K.S.R. Sridhar, M Karuna Prasad
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引用次数: 0

Abstract

The nanofluid has diverse applications in industries, engineering, and medicine due to its greater thermal characteristics. However, various factors such as the shape and size of nanoparticles, the base fluid, the porous medium, the quadratic drag force, and the viscous dissipation have significant effects on the flow and heat transfer characteristics of nanofluids. Therefore, it is crucial to study the influence of these factors. In this paper, a theoretical investigation is conducted to analyze the mechanisms of thermal conductivities of different shapes of nanoparticles, such as platelet, cylinder, brick and blade on the mixed convective nanofluid flow in a vertical channel saturated with porous medium. Consider ethylene glycol and water as base fluids for the nanoparticles, including copper, aluminum oxide, titanium oxide, silver, and iron oxide. A thin, movable baffle plate of negligible thickness is inserted in the channel and made into double passages. To define the porous matrix, the Darcy-Brinkaman-Forchhiemer model is used, and to define the nanofluid, the Tiwari and Das model is used. Robin boundary conditions are considered for the channel flow. The differential transform method (DTM) is applied to solve non-linear governing equations with inertia, and the perturbation method is applied to solve the problem without inertia. Velocity and temperature cantors are shown graphically using MATLAB and MATHEMATICA. The obtained values by DTM and the perturbation method are well validated and shown graphically. The Nusselt number was evaluated and tabulated for all governing parameters. The objective of this article is to investigate the effect of nonspherical shapes of nanoparticles, the base fluid, the inertial forces of the porous medium, and the buoyancy force on the thermal characteristics of flow and heat transfer of nanofluids. The main findings of this problem are that the optimum velocity and temperature cantor are found for platelet-shaped water-based silver nanofluid.
不同形状的纳米颗粒对达西-福尔希默多孔介质中混合对流纳米流体流动的影响
纳米流体具有更强的热特性,因此在工业、工程和医学领域有着广泛的应用。然而,纳米颗粒的形状和尺寸、基流体、多孔介质、二次阻力和粘性耗散等各种因素对纳米流体的流动和传热特性有显著影响。因此,研究这些因素的影响至关重要。本文通过理论研究,分析了不同形状的纳米颗粒(如板状、圆柱状、砖状和叶片状)对多孔介质饱和垂直通道中混合对流纳米流体流动的导热机理。考虑将乙二醇和水作为纳米粒子(包括铜、氧化铝、氧化钛、银和氧化铁)的基流体。在通道中插入厚度可忽略不计的活动薄挡板,使其成为双通道。多孔基质的定义采用达西-布林卡曼-福尔希默模型,纳米流体的定义采用蒂瓦里和达斯模型。通道流考虑了罗宾边界条件。微分变换法(DTM)用于求解有惯性的非线性控制方程,扰动法用于求解无惯性的问题。速度和温度曲线用 MATLAB 和 MATHEMATICA 图形显示。通过 DTM 和扰动法获得的数值得到了很好的验证,并以图形显示。对所有控制参数的努塞尔特数进行了评估并制成表格。本文旨在研究非球形纳米颗粒、基流体、多孔介质惯性力和浮力对纳米流体流动和传热热特性的影响。该问题的主要发现是找到了板状水基银纳米流体的最佳速度和温度坎托。
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
CFD Letters
CFD Letters Chemical Engineering-Fluid Flow and Transfer Processes
CiteScore
3.40
自引率
0.00%
发文量
76
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