Purpose

The current investigation is communicated to analyze the characteristics of squeezed second grade nanofluid flow enclosed by infinite channel in the existence of both heat generation and variable viscosity. The leading non-linear energy and momentum PDEs are converted into non-linear ODEs by using suitable analogous approach.

Design/methodology/approach

Then the acquired non-linear problem is numerically calculated by using Bvp4c (built in) technique in MATLAB.

Findings

The influence of certain appropriate physical parameters, namely, squeezed number, fluid parameter, Brownian motion, heat generation, thermophoresis parameter, Prandtl number, Schmidt number and variable viscosity parameter on temperature, velocity and concentration distributions are studied and deliberated in detail. Numerical calculations of Sherwood number, Nusselt number and skin friction for distinct estimations of appearing parameters are analyzed through graphs and tables. It is examined that for large values of squeezing parameter, the velocity profile increases, whereas opposite behavior is noticed for large values of variable viscosity and fluid parameter. Moreover, temperature profile increases for large values of Brownian motion, thermophoresis parameter and squeezed parameter and decreases by increases Prandtl number and heat generation. Moreover, concentration profile increases for large values of Brownian motion parameter and decreases by increases thermophoresis parameter, squeezed parameter and Schmidt number.

Originality/value

No one has ever taken infinite squeezed channel having second grade fluid model with variable viscosity and heat generation.

中文翻译：

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非定常挤压二阶纳米流体流过无限通道

目的

目前的调查是为了分析在发热和可变粘度的存在下无限通道封闭的挤压二级纳米流体流动的特性。通过使用合适的类似方法，领先的非线性能量和动量 PDE 被转换为非线性 ODE。

设计/方法/方法

然后利用MATLAB中的Bvp4c（内置）技术对获得的非线性问题进行数值计算。

发现

详细研究和讨论了某些合适的物理参数，即挤压数、流体参数、布朗运动、发热、热泳参数、普朗特数、施密特数和可变粘度参数对温度、速度和浓度分布的影响。通过图表和表格分析了舍伍德数、努塞尔数和皮肤摩擦的数值计算，以对出现的参数进行不同的估计。经检验，对于较大的挤压参数值，速度剖面增加，而对于较大的可变粘度和流体参数值，则注意到相反的行为。此外，温度曲线随着布朗运动的大值而增加，热泳参数和挤压参数随着普朗特数和发热的增加而减小。此外，浓度分布随着布朗运动参数的大值而增加，并且随着热泳参数、挤压参数和施密特数的增加而降低。

原创性/价值

从来没有人采用过具有可变粘度和发热的二级流体模型的无限挤压通道。