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具有热生成/吸收的Oldroyd-B纳米流体向拉伸表面的三维流动。

Three-dimensional flow of an Oldroyd-B nanofluid towards stretching surface with heat generation/absorption.

作者信息

Khan Waqar Azeem, Khan Masood, Malik Rabia

机构信息

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

出版信息

PLoS One. 2014 Aug 29;9(8):e105107. doi: 10.1371/journal.pone.0105107. eCollection 2014.

DOI:10.1371/journal.pone.0105107
PMID:25170945
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC4149422/
Abstract

This article addresses the steady three-dimensional flow of an Oldroyd-B nanofluid over a bidirectional stretching surface with heat generation/absorption effects. Suitable similarity transformations are employed to reduce the governing partial differential equations into coupled nonlinear ordinary differential equations. These nonlinear ordinary differential equations are then solved analytically by using the homotpy analysis method (HAM). Graphically results are presented and discussed for various parameters, namely, Deborah numbers β1 and β2, heat generation/absorption parameter λ, Prandtl parameter Pr, Brownian motion parameters Nb, thermophoresis parameter Nt and Lewis number Le. We have seen that the increasing values of the Brownian motion parameter Nt and thermophoresis parameter Nt leads to an increase in the temperature field and thermal boundary layer thickness while the opposite behavior is observed for concentration field and concentration boundary layer thickness. To see the validity of the present work, the numerical results are compared with the analytical solutions obtained by Homotopy analysis method and noted an excellent agreement for the limiting cases.

摘要

本文研究了具有热生成/吸收效应的Oldroyd-B纳米流体在双向拉伸表面上的稳态三维流动。采用合适的相似变换将控制偏微分方程简化为耦合非线性常微分方程。然后使用同伦分析法（HAM）对这些非线性常微分方程进行解析求解。针对各种参数，即德博拉数β1和β2、热生成/吸收参数λ、普朗特参数Pr、布朗运动参数Nb、热泳参数Nt和刘易斯数Le，给出并讨论了图形结果。我们发现，布朗运动参数Nt和热泳参数Nt的增大导致温度场和热边界层厚度增加，而浓度场和浓度边界层厚度则呈现相反的变化趋势。为验证本文工作的有效性，将数值结果与同伦分析法得到的解析解进行了比较，结果表明在极限情况下二者吻合良好。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d9b8/4149422/5afb01c66750/pone.0105107.g014.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d9b8/4149422/9311f9205579/pone.0105107.g002.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d9b8/4149422/5afb01c66750/pone.0105107.g014.jpg

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PLoS One. 2013 Aug 27;8(8):e69811. doi: 10.1371/journal.pone.0069811. eCollection 2013.
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Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet.
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PLoS One. 2021 Apr 15;16(4):e0249264. doi: 10.1371/journal.pone.0249264. eCollection 2021.
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Entropy (Basel). 2020 Mar 31;22(4):401. doi: 10.3390/e22040401.
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