Purpose

The purpose of this paper is to study the steady laminar magnetohydrodynamics (MHD) flow of a magnesium oxide-silver/water hybrid nanofluid along a horizontal slim needle with thermal radiation by considering dual solutions.

Design/methodology/approach

It is assumed that the needle can move in the same or opposite direction of the free stream. Also the solid phase and fluid phase are in thermal equilibrium. The basic partial differential equations become dimensionless using a similarity transformation method. Moreover, problem coding is accomplished using the finite difference method. The emerging parameters are nanoparticles mass (0–40 gr), base fluid mass (100 gr), needle’s size (0.001–0.2), magnetic field parameter, velocity ratio parameter, radiation parameter and Prandtl number (6.2).

Findings

With help of the stability analysis, it is shown that always the first solutions are physically stable. Results indicate that the magnetic parameter and the second nanoparticle’s mass limit the range of the velocity ratio parameter for which the solution exists. Besides, the magnetic parameter leads to decrease of quantities of engineering interest, i.e. skin friction coefficient and local Nusselt number.

Originality/value

To the best of the authors’ knowledge, no one has ever attempted to study the present problem through a mass-based model for hybrid nanofluid. Moreover, the dual solutions for the problem are new. Indeed, the results of this paper are purely original and the numerical achievements were never published up to now. Finally, the authors expect that the present investigation would be useful in hot-wire anemometer or shielded thermocouple for measuring the velocity of the wind, etc.

中文翻译：

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考虑双重解决方案的 MgO-Ag/水混合纳米流体的 MHD 流动通过移动的细针：热线风速计分析的适用模型

目的

本文的目的是通过考虑双解来研究氧化镁-银/水混合纳米流体在热辐射下沿水平细针的稳态层流磁流体动力学 (MHD) 流动。

设计/方法/方法

假设针可以在自由流的相同或相反方向上移动。固相和液相也处于热平衡。使用相似变换方法，基本偏微分方程变为无量纲。此外，问题编码是使用有限差分方法完成的。新出现的参数是纳米粒子质量 (0–40 gr)、基础流体质量 (100 gr)、针的大小 (0.001–0.2)、磁场参数、速度比参数、辐射参数和普朗特数 (6.2)。

发现

在稳定性分析的帮助下，表明第一个解总是物理稳定的。结果表明磁性参数和第二个纳米粒子的质量限制了解存在的速度比参数的范围。此外，磁参数导致工程感兴趣量的减少，即皮肤摩擦系数和局部努塞尔数。

原创性/价值

据作者所知，没有人尝试通过基于质量的混合纳米流体模型来研究当前问题。此外，该问题的双重解决方案是新的。事实上，这篇论文的结果是纯原创的，迄今为止的数值成果从未发表过。最后，作者预计目前的研究将有助于热线风速计或屏蔽热电偶测量风速等。