Purpose

The purpose of this paper is to numerically study the problem of mixed convection flow of a hybrid nanofluid past a vertical wedge with thermal radiation effect.

Design/methodology/approach

The governing nonlinear partial differential equations are transformed into a system of ordinary differential equations by a similarity transformation, which is then solved numerically through the function bvp4c from MATLAB for different values of the governing parameters. The solutions contain a mixed convection parameter λ that has a considerable impact on the flow fields.

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 mixed convection and several other parameters. To establish which of these solutions are stable and which are not, a stability analysis has been performed. The effects of the governing parameters on the fluid flow and heat transfer characteristics are illustrated in tables and figures. It is found that dual (upper and lower branch) solutions exist for both the cases of assisting and opposing flow situations. A stability analysis has also been conducted to determine the physical meaning and stability of the dual solutions.

Practical implications

This theoretical study is significantly relevant to the applications of the heat exchangers placed in a low-velocity environment and electronic devices cooled by fans.

Originality/value

The case of mixed convection flow of a hybrid nanofluid past a vertical wedge with thermal radiation effects has not been studied before, and hence all generated numerical results are claimed to be original and novel.

中文翻译：

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混合纳米流体通过具有热辐射效应的垂直楔的混合对流

目的

本文的目的是数值研究混合纳米流体通过具有热辐射效应的垂直楔形的混合对流问题。

设计/方法/方法

通过相似变换将控制非线性偏微分方程转化为常微分方程组，然后通过MATLAB中的函数bvp4c对不同的控制参数值进行数值求解。解决方案包含一个混合对流参数λ，它对流场有相当大的影响。

发现

发现常（相似）微分方程的解在混合对流和其他几个参数的一定范围内有上下支解两个分支。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。控制参数对流体流动和传热特性的影响如表和图所示。发现对辅助流和逆流情况都存在双重（上分支和下分支）解。还进行了稳定性分析，以确定双解的物理意义和稳定性。

实际影响

该理论研究与放置在低速环境中的热交换器和由风扇冷却的电子设备的应用密切相关。

原创性/价值

混合纳米流体通过具有热辐射效应的垂直楔形的混合对流流动的情况以前没有研究过，因此所有产生的数值结果都声称是原始的和新颖的。