Purpose

This study aims to investigate the heat transfer characteristic of the magnetohydrodynamic (MHD) hybrid nanofluid over the linear stretching and shrinking surface in the presence of suction and thermal radiation effects.

Design/methodology/approach

Mathematical equations are transformed into pairs of self-similarity equations using similarity transformation. Boundary value problem solver (bvp4c) in MATLAB was adopted to solve the system of reduced similarity equations. In this study, the authors particularly examine the flow and heat transfer properties for different values of suction and thermal radiation parameters using single-phase nanofluid model. A comparison of the present results shows a good agreement with the published results.

Findings

It is noticed that the efficiency of heat transfer of hybrid nanofluid (Cu-Al₂O₃/H₂O) is greater than the nanofluid (Cu/H₂O). Furthermore, it is also found that dual solutions exist for a specific range of the stretching/shrinking parameter with different values of suction and radiation parameters. The results indicate that the skin friction coefficient and the local Nusselt number increase with suction effect. The values of the skin friction coefficient increases, but the local Nusselt number decreases for the first solution with the increasing of thermal radiation parameter. It is also observed that suction and thermal radiation widen the range of the stretching/shrinking parameter for which the solution exists.

Practical implications

In practice, the investigation on the flow and heat transfer of MHD hybrid nanofluid through a stretching/shrinking sheet with suction and thermal radiation effects is very important and useful. The problems related to hybrid nanofluid has numerous real-life and industrial applications, for example microfluidics, manufacturing, transportation, military and biomedical, etc.

Originality/value

In specific, this study focused on increasing thermal conductivity using a hybrid nanofluid mathematical model. This paper is able to obtain the dual solutions. To the best of author’s knowledge, this study is new and there is no previous published work similar to present study.

中文翻译：

---

MHD混合纳米流体在具有热辐射作用的可渗透拉伸/收缩片材上流动

目的

这项研究旨在研究在存在吸力和热辐射效应的情况下，磁流体动力学（MHD）杂化纳米流体在线性拉伸和收缩表面上的传热特性。

设计/方法/方法

使用相似性变换将数学方程式变换为成对的自相似性方程式。采用MATLAB中的边值问题求解器（bvp4c）来求解简化的相似性方程组。在这项研究中，作者使用单相纳米流体模型特别研究了不同吸力和热辐射参数值的流动和传热特性。本结果的比较表明已与已发布的结果很好地吻合。

发现

注意到混合纳米流体（Cu-Al ₂ O ₃ / H ₂ O）的传热效率大于纳米流体（Cu / H ₂ O）。此外，还发现对于具有不同的吸力和辐射参数值的拉伸/收缩参数的特定范围存在双重解。结果表明，皮肤摩擦系数和局部Nusselt值随吸力作用而增加。皮肤摩擦系数的值增加，但是随着热辐射参数的增加，第一种解决方案的局部Nusselt值减少。还观察到吸力和热辐射加宽了溶液存在的拉伸/收缩参数的范围。

实际影响

在实践中，研究MHD杂化纳米流体通过具有吸力和热辐射效应的拉伸/收缩片材的流动和传热非常重要和有用。与杂化纳米流体有关的问题具有许多现实生活和工业应用，例如微流体，制造，运输，军事和生物医学等。

创意/价值

具体而言，本研究着重使用混合纳米流体数学模型提高热导率。本文能够获得对偶解。据作者所知，该研究是新的，并且没有以前发表过的与当前研究相似的工作。