Purpose

This paper aims to report theoretical and numerical results for the problem of laminar axisymmetric flow of hybrid nanofluid over a permeable non-linearly stretching/shrinking sheet with radiation effect.

Design/methodology/approach

The numerical solutions of the arising boundary value problem are obtained using the function bvp4c from MATLAB for different values of the governing parameters.

Findings

It is found that the solutions of the ordinary (similarity) differential equations have two branches, upper and lower branch solutions, in a certain range of the stretching/shrinking and suction parameters. To establish which of these solutions are stable and which are not, a stability analysis has been performed.

Originality/value

To the best of the authors’ knowledge, 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 Mustafa et al. (2015) to the case of hybrid nanofluids.

中文翻译：

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由于具有辐射效应的可渗透非线性拉伸/收缩片，混合纳米流体的轴对称流动

目的

本文旨在报告混合纳米流体在具有辐射效应的可渗透非线性拉伸/收缩片上的层流轴对称流动问题的理论和数值结果。

设计/方法/方法

对于不同的控制参数值，使用 MATLAB 中的函数 bvp4c 获得了出现边值问题的数值解。

发现

发现在一定的伸缩和吸力参数范围内，常（相似）微分方程的解有两个分支，上分支解和下分支解。为了确定这些解决方案中哪些是稳定的，哪些不是，已经进行了稳定性分析。

原创性/价值

据作者所知，目前的结果对于研究拉伸/收缩表面上的流体流动和热传递是新颖的，因为它们成功地扩展了 Mustafa等人考虑的问题。(2015) 到混合纳米流体的情况。