Singular fractional technique for free convective Casson hybrid nanofluid with optically thick medium and shape effects

IF 0.5 4区 工程技术 Q4 CHEMISTRY, APPLIED Indian Journal of Chemical Technology Pub Date : 2023-01-01 DOI:10.56042/ijct.v30i4.71682
N. M. Lisha, Vijaya Kumar
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引用次数: 1

Abstract

The transmission of heat in a time-dependent flow of a viscid non-Newtonian hybrid nanofluid comprising magnetite and copper oxide nanoparticles persuaded by an upright plate has been explored in regards to the effect of heat radiation and nanoparticle shape factors. The fluid flow phenomenon of the problem is constructed using the derivative of the Caputo fractional order 0 1  . As a hybrid method, the dimensionless governing fractional partial differential equation was solved analytically using transforms such as Laplace and Fourier sine. With the Mittag-Leffler function, analytical solutions are achieved for fluid flow, energy distribution, rate of heat transmission, and shear stress. Moreover, limit-case solutions for classical PDEs were given for the derived governing flow model. Graphical depictions, tables, and bar graphs are constructed using "MATLAB" for a thorough examination of the problem. The graphical findings suggest that the efficiency of hybrid nanofluids is substantially better with the Caputofractional order approach than with ordinary derivatives. Finally, a comparison with existing literature results is performed and determined to be good.
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具有光学厚介质和形状效应的自由对流卡森混合纳米流体的奇异分数技术
研究了由磁铁矿和氧化铜纳米颗粒组成的粘性非牛顿混合纳米流体在垂直板作用下的随时间流动中热量的传递,探讨了热辐射和纳米颗粒形状因素的影响。该问题的流体流动现象是用卡普托分数阶0 1的导数来构造的。作为一种混合方法,利用拉普拉斯变换和傅立叶正弦变换对无量纲控制分数阶偏微分方程进行解析求解。通过Mittag-Leffler函数,可以获得流体流动、能量分布、传热速率和剪切应力的解析解。此外,给出了经典偏微分方程控制流模型的极限解。图形描述、表格和条形图使用“MATLAB”构建,以彻底检查问题。图形结果表明,混合纳米流体的效率与卡普托分数阶方法比普通衍生物要好得多。最后,与现有文献结果进行比较,确定为良好。
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来源期刊
Indian Journal of Chemical Technology
Indian Journal of Chemical Technology 工程技术-工程:化工
CiteScore
0.90
自引率
20.00%
发文量
17
审稿时长
6-12 weeks
期刊介绍: Indian Journal of Chemical Technology has established itself as the leading journal in the exciting field of chemical engineering and technology. It is intended for rapid communication of knowledge and experience to engineers and scientists working in the area of research development or practical application of chemical technology. This bimonthly journal includes novel and original research findings as well as reviews in the areas related to – Chemical Engineering, Catalysis, Leather Processing, Polymerization, Membrane Separation, Pharmaceuticals and Drugs, Agrochemicals, Reaction Engineering, Biochemical Engineering, Petroleum Technology, Corrosion & Metallurgy and Applied Chemistry.
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