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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >The effect of vertical throughflow on the boundary layer flow of a nanofluid past a stretching/shrinking sheet: A revised model
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The effect of vertical throughflow on the boundary layer flow of a nanofluid past a stretching/shrinking sheet: A revised model

机译：垂直通流对经过拉伸/收缩片的纳米流体边界层流的影响：修正模型

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Purpose - The purpose of this paper is to study the effects of vertical throughflow on the boundary layer flow and heat transfer of a nanofluid driven by a permeable stretching/shrinking surface. Design/methodology/approach - Similarity transformation is used to convert the system of boundary layer equations into a system of ordinary differential equations. The system of governing similarity equations is then reduced to a system of first-order differential equations and solved numerically using the bvp4c function in Matlab software. The generated numerical results are presented graphically and discussed based on some governing parameters. Findings - It is found that dual solutions exist in both cases of stretching and shrinking sheet situations. Stability analysis is performed to determine which solution is stable and valid physically. Originality/value - Dual solutions are found for positive and negative values of the moving parameter. A stability analysis has also been performed to show that the first (upper branch) solutions are stable and physically realizable, while the second (lower branch) solutions are not stable and, therefore, not physically possible.
机译：目的-本文的目的是研究垂直通流对由可渗透拉伸/收缩表面驱动的纳米流体的边界层流动和传热的影响。设计/方法/方法-相似变换用于将边界层方程组转换为常微分方程组。然后，将控制相似性方程组的系统简化为一阶微分方程组，并使用Matlab软件中的bvp4c函数进行数值求解。生成的数值结果以图形方式呈现，并基于一些控制参数进行讨论。结果-发现在拉伸和收缩片材情况下都存在双重解决方案。执行稳定性分析以确定哪种解决方案在物理上是稳定有效的。独创性/值-为运动参数的正值和负值找到了双重解决方案。还进行了稳定性分析，以显示第一个（上部分支）解决方案是稳定的并在物理上可实现，而第二个（下部分支）解决方案则不稳定，因此在物理上不可行。

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