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具有单壁碳纳米管和多壁碳纳米管的混合纳米流体在波浪形矩形管道中蠕动流动的本征函数展开法

Eigenfunction expansion method for peristaltic flow of hybrid nanofluid flow having single-walled carbon nanotube and multi-walled carbon nanotube in a wavy rectangular duct.

作者信息

Nadeem Sohail, Qadeer Sabahat, Akhtar Salman, El Shafey Asmaa Mohamed, Issakhov Alibek

机构信息

Department of Mathematics, 66757Quaid-i-Azam University, Pakistan.

Chemistry Department, Faculty of Science and Arts, 48144King Khalid University, Saudi Arabia.

出版信息

Sci Prog. 2021 Oct;104(4):368504211050292. doi: 10.1177/00368504211050292.

DOI:10.1177/00368504211050292
PMID:34738839
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10358559/
Abstract

In this study, "peristaltic transport of hybrid nanofluid" inside a rectangular duct is examined. Water (base fluid) is used with two types of nanoparticles, namely, single-walled carbon nanotube (SWCNT) and multi-walled carbon nanotube (MWCNT). The viscous dissipation effect comes out as the prime heat generation source as compared to the conduction of molecules. After using some suitable dimensionless quantities, we obtained the nonlinear partial differential equations in a coupled form which are then solved exactly by the Eigenfunction expansion method. Velocity distribution, pressure gradient, and pressure rise phenomena are also discussed graphically through effective physical parameters. The heat transfer rate is high for the phase flow (single-walled carbon nanotube/water) model as compared to the hybrid (single-walled carbon nanotube  +  multi-walled carbon nanotube/water) model due to the enhanced thermal conductivity of the hybrid model.

摘要

在本研究中,对矩形管道内“混合纳米流体的蠕动传输”进行了研究。水(基液)与两种类型的纳米颗粒一起使用,即单壁碳纳米管(SWCNT)和多壁碳纳米管(MWCNT)。与分子传导相比,粘性耗散效应成为主要的热产生源。在使用一些合适的无量纲量之后,我们得到了耦合形式的非线性偏微分方程,然后通过本征函数展开法精确求解。还通过有效的物理参数以图形方式讨论了速度分布、压力梯度和压力上升现象。由于混合模型的热导率增强,与混合(单壁碳纳米管 + 多壁碳纳米管/水)模型相比,相流(单壁碳纳米管/水)模型的传热速率更高。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/36441942fa0b/10.1177_00368504211050292-fig7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/b8b8a0706690/10.1177_00368504211050292-fig1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/ee5c0d0ffc1f/10.1177_00368504211050292-fig2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/b01b933f61a2/10.1177_00368504211050292-fig3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/7759807bd43d/10.1177_00368504211050292-fig4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/e3ad3f1ab919/10.1177_00368504211050292-fig5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/413a33de5eef/10.1177_00368504211050292-fig6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/36441942fa0b/10.1177_00368504211050292-fig7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/b8b8a0706690/10.1177_00368504211050292-fig1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/ee5c0d0ffc1f/10.1177_00368504211050292-fig2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/b01b933f61a2/10.1177_00368504211050292-fig3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/7759807bd43d/10.1177_00368504211050292-fig4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/e3ad3f1ab919/10.1177_00368504211050292-fig5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/413a33de5eef/10.1177_00368504211050292-fig6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0462/10358559/36441942fa0b/10.1177_00368504211050292-fig7.jpg

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