Purpose

The purpose of this study is to describe the steady mixed convection stagnation point of a hybrid nanofluid with a second-order velocity slip.

Design/methodology/approach

Using appropriate similarity variables, the partial differential equations are transformed into ordinary (similar) differential equations, which are numerically solved using the bvp4c function in MATLAB. The numerical results are used to present graphical illustrations for the reduced skin friction, reduced Nusselt number, velocity and temperature profiles.

Findings

Dual solutions are discovered in this study. Thus, stability analysis is implemented and the first (upper branch) and second (lower branch) solutions are determined and analyzed.

Research limitations/implications

Hybrid nanofluids have many practical applications in the modern industry such as in micro-manufacturing, periodic heat exchanges process, nano drug delivery system and nuclear reactors.

Originality/value

Despite numerous studies on the mixed convection stagnation point of classical viscous fluids past a vertical plate flow, none of the researchers have focused on the effect of second-order slip velocity on hybrid nanofluids. The behavior of the flow and heat transfer has been thoroughly analyzed with the variations in governing parameters such as heat source/sink and nanoparticle volume fraction. Moreover, the use of the wall slip velocity in this hybrid nanofluid model strengthened the novelty of this study.

中文翻译：

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具有二阶速度模型的混合纳米流体通过垂直平板的混合对流停滞点流

目的

这项研究的目的是描述具有二阶速度滑移的混合纳米流体的稳态混合对流停滞点。

设计/方法/方法

使用适当的相似性变量，可以将偏微分方程转换为普通（相似）微分方程，可以使用MATLAB中的bvp4c函数对其进行数值求解。数值结果用于显示减少皮肤摩擦，减少Nusselt数，速度和温度曲线的图形说明。

发现

在这项研究中发现了双重解决方案。因此，实施稳定性分析，并确定和分析第一（上部分支）和第二（下部分支）解决方案。

研究局限/意义

混合纳米流体在现代工业中具有许多实际应用，例如在微制造，周期性热交换过程，纳米药物输送系统和核反应堆中。

创意/价值

尽管对经典粘性流体经过垂直板流的混合对流停滞点进行了大量研究，但没有研究人员关注二阶滑移速度对混合纳米流体的影响。流动和传热的行为已通过控制参数（例如热源/散热器和纳米颗粒体积分数）的变化进行了全面分析。此外，在该混合纳米流体模型中壁滑速度的使用增强了这项研究的新颖性。