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A numerical study of the axisymmetric rotational stagnation point flow impinging radially a permeable stretching/shrinking surface in a nanofluid

机译:轴对称旋转停滞点流径向撞击纳米流体中可渗透拉伸/收缩表面的数值研究

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Purpose - The purpose of this study is to analyze numerically the steady axisymmetric rotational stagnation point flow impinging on a radially permeable stretching/shrinking sheet in a nanofluid. Design/methodology/approach - Similarity transformation is used to convert the system of partial differential equations into a system of ordinary (similarity) differential equations. This system is then reduced to a system of first-order differential equations and solved numerically using the bvp4c function in MATLAB software. Findings - Dual solutions exist when the surface is stretched, as well as when the surface is shrunk. For these solutions, a stability analysis is carried out revealing that the first solution (upper branch) is stable and physically realizable, while the second solution (lower branch) is unstable and therefore not physically realizable. Originality/value - The present results are original and new for the study of fluid flow and heat transfer over a stretching/shrinking surface, as they successfully extend the problem considered by Weidman (2016) to the case of nanofluids.
机译:目的-这项研究的目的是从数值上分析纳米流体中撞击在径向可渗透拉伸/收缩片材上的稳定轴对称旋转停滞点流。设计/方法/方法-相似变换用于将偏微分方程组转换为常微(相似)微分方程组。然后将此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。结果-拉伸表面以及收缩表面时都存在双重解决方案。对于这些解决方案,进行了稳定性分析,结果显示第一个解决方案(上部分支)是稳定的并且可以物理实现,而第二个解决方案(下部分支)是不稳定的,因此不能物理实现。原创性/价值-目前的结果对于研究在拉伸/收缩表面上的流体流动和传热具有新颖性,因为它们成功地将Weidman(2016)考虑的问题扩展到了纳米流体的情况。

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