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多孔拉伸/收缩表面上三元纳米颗粒的微极液体流动的传热与传质。

Heat and mass transfer of micropolar liquid flow due to porous stretching/shrinking surface with ternary nanoparticles.

机构信息

Department of Mathematics, Siddaganga Institute of Technology, Tumkur, 572103, India.

Department of Studies in Mathematics, Davangere University, Shivagangothri, Davangere, 577007, India.

出版信息

Sci Rep. 2023 Feb 21;13(1):3011. doi: 10.1038/s41598-023-29469-0.

DOI:10.1038/s41598-023-29469-0
PMID:36810296
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9944350/
Abstract

The present investigation is carried out to predict the flow characteristics of a micropolar liquid that is infused with ternary nanoparticles across a stretching/shrinking surface under the impact of chemical reactions and radiation. Here, three dissimilarly shaped nanoparticles (copper oxide, graphene and copper nanotubes) are suspended in HO to analyse the characteristics of flow, heat and mass transfer. The flow is analysed using the inverse Darcy model, while the thermal analysis is based on the thermal radiation. Furthermore, the mass transfer is examined in light of the impact of first order chemically reactive species. The considered flow problem is modelled resulting with the governing equations. These governing equations are highly non linear partial differential equations. Adopting suitable similarity transformations partial differential equations are reduced to ordinary differential equations. The thermal and mass transfer analysis comprises two cases: PST/PSC and PHF/PMF. The analytical solution for energy and mass characteristics is extracted in terms of an incomplete gamma function. The characteristics of a micropolar liquid are analysed for various parameters and presented through graphs. The impact of skin friction is also considered in this analysis. The stretching and rate of mass transfer have a large influence on the microstructure of a product manufactured in the industries. The analytical results produced in the current study seem to be helpful in the polymer industry for manufacturing stretched plastic sheets.

摘要

本研究旨在预测在化学反应和辐射的影响下,注入三元纳米粒子的微极液体在拉伸/收缩表面上的流动特性。在这里,三种不同形状的纳米粒子(氧化铜、石墨烯和铜纳米管)悬浮在水中,以分析流动、传热和传质的特性。流动分析采用反达西模型,而热分析则基于热辐射。此外,还考虑了一级化学反应物质对传质的影响。所考虑的流动问题建模得到控制方程。这些控制方程是高度非线性偏微分方程。采用适当的相似变换,将偏微分方程简化为常微分方程。传热和传质分析包括两种情况:PST/PSC 和 PHF/PMF。能量和质量特性的解析解以不完全伽马函数的形式提取。针对各种参数对微极液体特性进行了分析,并通过图表进行了展示。还考虑了表面摩擦的影响。拉伸和传质速率对工业中制造的产品的微观结构有很大的影响。本研究中得到的分析结果似乎对聚合物工业制造拉伸塑料片材有帮助。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/b31c81bcce42/41598_2023_29469_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/80aeae965357/41598_2023_29469_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/cb98eee810e8/41598_2023_29469_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/dd6df714a556/41598_2023_29469_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/1f9a457d41ed/41598_2023_29469_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/37a2cf6287a6/41598_2023_29469_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/635ab13673b8/41598_2023_29469_Fig6a_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/9fd17f3f7b44/41598_2023_29469_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/b31c81bcce42/41598_2023_29469_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/80aeae965357/41598_2023_29469_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/cb98eee810e8/41598_2023_29469_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/dd6df714a556/41598_2023_29469_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/1f9a457d41ed/41598_2023_29469_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/37a2cf6287a6/41598_2023_29469_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/635ab13673b8/41598_2023_29469_Fig6a_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/9fd17f3f7b44/41598_2023_29469_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/877c/9944350/b31c81bcce42/41598_2023_29469_Fig8_HTML.jpg

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本文引用的文献

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Micromachines (Basel). 2022 May 31;13(6):874. doi: 10.3390/mi13060874.
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Soret and Dufour effects on a Casson nanofluid flow past a deformable cylinder with variable characteristics and Arrhenius activation energy.索雷特效应和杜福尔效应作用于具有可变特性和阿累尼乌斯活化能的卡森纳米流体绕变形圆柱体的流动。
Sci Rep. 2021 Sep 29;11(1):19282. doi: 10.1038/s41598-021-98898-6.
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Chemically reactive MHD micropolar nanofluid flow with velocity slips and variable heat source/sink.
具有速度滑移和可变热源/热汇的化学反应性磁流体动力学微极纳米流体流动
Sci Rep. 2020 Dec 1;10(1):20926. doi: 10.1038/s41598-020-77615-9.