Abstract

The purpose of this paper is to theoretically investigate the steady nanofluid flow due to a permeable stretching/shrinking cylinder using the mathematical nanofluid model proposed by Buongiorno. The effects of the stretching/shrinking parameter as well as the suction and curvature parameters are studied. A similarity transformation is used to reduce the governing partial differential equations to a set of nonlinear ordinary (similarity) differential equations which are then solved numerically using the function bvp4c from Matlab for different values of the governing parameters. It is found that the solution is unique for stretching case; however, multiple (dual) solutions exist for the shrinking case. A closed form analytical solution is also obtained when the curvature parameter α = 0. For α small (α ≪ 1) dual solutions exist for both stretching and shrinking cylinder, while for α large (α ≫ 1) dual solutions are found only for the shrinking cylinder(λ < 0).

中文翻译：

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纳米流体通过可渗透的拉伸/收缩圆柱体流动

摘要

本文的目的是使用Buongiorno提出的数学纳流模型从理论上研究由于可渗透拉伸/收缩圆柱体引起的稳定纳流。研究了拉伸/收缩参数以及吸力和曲率参数的影响。使用相似性变换将控制偏微分方程简化为一组非线性常（相似）微分方程，然后使用Matlab中的函数bvp4c对控制参数的不同值进行数值求解。发现该解决方案对于拉伸情况是唯一的；但是，对于不断缩小的情况，存在多种（双重）解决方案。还获得一个封闭的形式解析解当曲率参数α  = 0。对于α 小（α  «1）双重解决方案两者拉伸和收缩汽缸存在，而对于α大（α  »1）双重解决方案是发现仅在收缩气缸（λ  <0）。