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非稳态辐射自然对流传热磁纳米流体流过带源/汇的多孔移动垂直板。

Unsteady Radiative Natural Convective MHD Nanofluid Flow Past a Porous Moving Vertical Plate with Heat Source/Sink.

机构信息

Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.

KMUTT Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.

出版信息

Molecules. 2020 Feb 14;25(4):854. doi: 10.3390/molecules25040854.

DOI:10.3390/molecules25040854
PMID:32075150
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7070459/
Abstract

In this research article, we investigated a comprehensive analysis of time-dependent free convection electrically and thermally conducted water-based nanofluid flow containing Copper and Titanium oxide (Cu and TiO 2 ) past a moving porous vertical plate. A uniform transverse magnetic field is imposed perpendicular to the flow direction. Thermal radiation and heat sink terms are included in the energy equation. The governing equations of this flow consist of partial differential equations along with some initial and boundary conditions. The solution method of these flow interpreting equations comprised of two parts. Firstly, principal equations of flow are symmetrically transformed to a set of nonlinear coupled dimensionless partial differential equations using convenient dimensionless parameters. Secondly, the Laplace transformation technique is applied to those non-dimensional equations to get the close form exact solutions. The control of momentum and heat profile with respect to different associated parameters is analyzed thoroughly with the help of graphs. Fluid accelerates with increasing Grashof number (Gr) and porosity parameter (K), while increasing values of heat sink parameter (Q) and Prandtl number (Pr) drop the thermal profile. Moreover, velocity and thermal profile comparison for Cu and TiO 2 -based nanofluids is graphed.

摘要

在这篇研究文章中，我们研究了一个综合分析，研究了含有铜和氧化钛（Cu 和 TiO2）的随时间变化的自由对流电和热导水基纳米流体流过移动多孔垂直板的过程。垂直于流动方向施加均匀横向磁场。能量方程中包含热辐射和热汇项。该流动的控制方程由偏微分方程以及一些初始和边界条件组成。这些流动解释方程的解法由两部分组成。首先，使用方便的无量纲参数将流动的主要方程对称地转换为一组非线性耦合无量纲偏微分方程。其次，应用拉普拉斯变换技术对这些无量纲方程进行求解，得到封闭形式的精确解。借助图形，详细分析了不同相关参数对动量和热分布的控制。随着 Grashof 数（Gr）和孔隙率参数（K）的增加，流体加速，而热分布则随着热汇参数（Q）和普朗特数（Pr）的增加而降低。此外，还绘制了基于 Cu 和 TiO2 的纳米流体的速度和热分布比较图。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/6ee585ac79f3/molecules-25-00854-g020.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/6ee585ac79f3/molecules-25-00854-g020.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/bc2d72629d70/molecules-25-00854-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/270519f7d904/molecules-25-00854-g002.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/a25046b09501/molecules-25-00854-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/4cb259b31060/molecules-25-00854-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/86bcb01c3a1c/molecules-25-00854-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/fee3fab5c555/molecules-25-00854-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/fa63610b92ec/molecules-25-00854-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/cb937df72899/molecules-25-00854-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/9ffb8714a1b9/molecules-25-00854-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/fbf38e59bb74/molecules-25-00854-g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/436d2198f363/molecules-25-00854-g015.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/15df2819fac9/molecules-25-00854-g016.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/2deb69e331fa/molecules-25-00854-g017.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/29ad5bd9a021/molecules-25-00854-g018.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/a38b5053775b/molecules-25-00854-g019.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab37/7070459/6ee585ac79f3/molecules-25-00854-g020.jpg

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本文引用的文献

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Hall and Ion-Slip Effect on CNTS Nanofluid over a Porous Extending Surface through Heat Generation and Absorption.通过热生成和吸收对多孔延伸表面上的碳纳米管纳米流体的霍尔效应和离子滑移效应。
Entropy (Basel). 2019 Aug 16;21(8):801. doi: 10.3390/e21080801.
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Energy Transfer in Mixed Convection MHD Flow of Nanofluid Containing Different Shapes of Nanoparticles in a Channel Filled with Saturated Porous Medium.饱和多孔介质填充通道中含不同形状纳米颗粒的纳米流体混合对流磁流体动力学流动中的能量传递
Nanoscale Res Lett. 2015 Dec;10(1):490. doi: 10.1186/s11671-015-1144-4. Epub 2015 Dec 23.